an extraterrestrial analysis
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7/28/2019 An Extraterrestrial Analysis
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Mc Extrmterrestrbmj Mcmjysbs
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Mc Extrmterrestrbmj Mcmjysbs
Dy
Bmc Demrfsjey
Ahpyrbont © 47=4 ‑ 47=1 dy Bmc Demrfsjey
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Ahskba Mranmehjhoy
B ahcsbfer wnmt B fh th de wnmt B amjj ahskba mranmehjhoy. Ahskba Mranmehjhoy
strbves th smy shketnbco mdhut tne Ucbverse usbco mranmehjhoy, mcf shketnbco
mdhut tne nukmc sthry usbco mstrhchky. Ky lbrst exphsure th ‚Ahskba
Mranmehjhoy‛ kust nmve deec wnec ky ahjjeoe Amjaujus temaner wms ferbvbco
Eujer‒s Cukder, e. Mlter ferbvbco bt, ne ferbvef Eujer‒s Equmtbhc, wnban rejmtes,
Eujer‒s cukder (e), tne bkmobcmry cukder (b), tne rmtbh pb, mcf ceomtbve hce mjj th hce
mchtner. Vne equmtbhc bs9
(e)SP(b)(pb)[ ;-=
Ne phbctef hut tnmt tnbs equmtbhc, ms wejj, rejmtes tnree oehormpnbamj reobhcs th hce
mchtner, Bcfbm, Eoypt, mcf Eurhpe bcshlmr ms ceomtbve cukders ahke th us lrhk
Bcfbm (Drmnkmouptm), tne bkmobcmry cukder ahkes th us lrhk Eoypt (Nerhc hl
Mjexmcfrbm, mjj tnhuon Oree`, wms cmtbve th Mjexmcfrbm, Thkmc Eoypt), pb th shke
maaurmay lrhk Mcabect Oreeae (Mranbkefes), mcf e lrhk Qwbtzerjmcf (Imahd
Derchujjb).
_e amc see nhw tnbs revejmtbhc whujf de `ey th Ahskba Mranmehjhoy.
Dnrmnkmouptm (mrhucf <4>)
Nerhc hl Mjexmcfrbm (a=7 ‑ ?7 MF)
Imahd Derchujjb (=<55 ‑ =?75)
Mranbkefes (a.4>? DA ‑ a.4=4 DA)
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Qukkmry Hl Qhke Hl _nmt _e Fbf
_e deomc wbtn cbce-lbltns bs tne ybc hl tne Ucbverse lhr wnban lbve-tnbrfs wms tne ymco.
Cht hcjy were ohjf th sbjver (preabhus ketmjs) tne ybc, dut phtmssbuk th shfbuk wms tne
ymco (smjts). Ms wejj Ceptuce we snhwef wms tne ybc pjmcet lhr wnban Urmcus wms tneRmco pjmcet.
_e lhucf cbce-lbltns fesarbdef tne rhtmtbhc hl lbve sykketry petmjs mrhucf m ljhwer, m
khst phpujmr mrrmcoekect, mcf chtef tnmt wnbje cbce-lbltns (ybc) wms tne represectmtbve hl tne lbve-lhjf sykketry we lbcf bc jble, lbve-tnbrfs (ymco) wms represectmtbve hl tne sbx-
lhjf sykketry we lbcf bc pnysbamj cmture.
_e chtef tnmt Ceptuce mcf Urmcus were ahupjef mpprhprbmtejy ms ybc mcf ymco bc sh lmrms tne prhfuat hl Ceptuce kmss wbtn Ceptuce vhjuke wms mdhut tne smke ms Urmcus
kmss wbtn Urmcus vhjuke. _e smbf tnmt cbce-lbltns wms cht tne hcjy vmjue reaurrect
tnrhuonhut tne shjmr systek, dut mcy wnhje cukder kujtbpje hl tne vmjue. Qh, we lhrkeftne sequecae9
(mXc) ; =.>, 1.<, 5.6, ?.4,…
Mcf tne sequecae lhrkef dy stmrtbco wbtn lbve mcf mffbco cbce th eman suaaessbve terk9
5, =6, 41, 14, …
_e thh` tne fbllerecae detweec tnese twh sequecaes th lhrk tne Ceptuce equmtbhc9
(mXc) ; ?.4c ‑ 6
_nban we chtbaef ahujf de wrbttec9
(mXc) ; (vecus hrdbt/emrtn hrdbt)(emrtn kmss/ kmrs kmss)c ‑ (kmrs hrdbtmj #)
_e jet c;1 sbcae tne emrtn bs tne tnbrf pjmcet lrhk tne suc, mcf lhucf tne tnbrf terk
mXc;=?.<, wms ajhsest th tne kmss hl Ceptuce bc emrtn kmsses, necae tne cmke lhr tne
equmtbhc.
_e chtef tnmt sbcae tne equmtbhc snhws tne emrtn strmffjef detweec \ecus, m lmbjef emrtn,
mcf kmrs, wnban prhkbses th de Cew Emrtn, mcf we ahcajufef tnmt tne pjmcet Ceptucenms m `ey th tne suaaess hl tne emrtn.
_e lurtner lejt we were hc tne rbont trma` deamuse Ceptuce, tnhuon khre kmssbve tnmc
tne Emrtn, bt bs jmroer echuon tnmt bts surlmae ormvbty bs mdhut tne smke. Lurtner bcfbamtbhc
tnmt we were hc tne rbont trma` wms chtef bc tne lmat tnmt Ceptuce nms m sbkbjmr bcajbcmtbhc
th bts hrdbt, ms fhes tne Emrtn.
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Bt wms hcjy jelt th lbcf tne Urmcus equmtbhc, deamuse lhr every ybc, tnere snhujf de m
ymco.
_e lhjjhwef tne smke prhaess ms lhr mrrbvbco mt tne Ceptuce equmtbhc. _e kmfe tne
sequecae hl mjj wnhje cukder kujtbpjes hl lbve-tnbrfs9
(5/1)c ; =.?, 1.1, 5, <.?,…
Mcf stmrtef wbtn > mcf mffef 5 th eman mffbtbhcmj terk (s`bppbco 1)9
>, =1, =>, 41,…
_e thh` tne fbllerecae detweec tne twh sequecaes th hdtmbc tne Urmcus equmtbhc9
(mXc) ; 1 + 1.1c
_nban we chtbaef ahujf de wrbttec9
(Emrtn Hrdbtmj #) + (Iupbter Kmss/Qmturc Kmss)c ; mXc
_e amjjef bt tne Urmcus Equmtbhc deamuse jettbco c;1 (lhr tne emrtn) we oht mXc;=1,
wnban bs ajhsest th tne kmss hl Urmcus.
_e `cew mombc we were hc tne rbont trma`, deamuse iust ms Ceptuce fhes, Urmcus nms m
sbkbjmr surlmae ormvbty th tnmt hl tne Emrtn ms wejj.
_e chw ahcceatef tne lbrst lhur phbcts hl tne Ceptuce equmtbhc mcf bcteormtef lrhk hce
th lhur, tne equmtbhc9
L(x) ; ?.4x ‑6
Vne bccer terrestrbmj pjmcets.
_e thh` tne ferbvmtbve hl tne Urmcus equmtbhc9
L(x) ; 1 + 1.1x
Qh tnmt
L‒(x) ; 1.1
_e ahcsbferef tne bcteormj tne kmss hl m pjmcet bc emrtn kmsses, wnban amke hut th de 64.
_e ahcsbferef tne 1.1 th de tne maaejermtbhc mt bts surlmae bc emrtn ormvbtbes. @chwbco
tnese twh qumctbtbes we feterkbcef tne pjmcet wms mdhut tnree mcf m nmjl tbkes jmroer tnmc
tne Emrtn. @chwbco bts kmss mcf sbze, we ahujf feterkbce bts fecsbty, mcf lrhk tnmt btsahkphsbtbhc, wnban turcef hut th de Eurhpbuk, ejekect <1, wnban bs pnhspnhresaect.
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LBAVBHC-TEMJBVR ECVMCOJEKECVLEDTUMTR 6 47=1
DR
BMC DEMTFQJER
Jevbcshc
_e deomc wbtn tne ajhsest stmr th us, Mjpnm Aectmurb. Bt bs mdhut 6.4 th 6.1 jbont yemrsmwmy. _e rhucfef tnmt th lhur deamuse we mre femjbco wbtn wnhje cukders. _e tnec
fbf m rmcfhk wmj`, mcf amjaujmtef tne prhdmdbjbty hl jmcfbco hc Mjpnm Aectmurb bc =7
rmcfhk iukps hl hce jbont yemr eman. _e chte tnmt m jbont yemr bs tne fbstmcae jbont
trmvejs bc hce yemr, m yemr debco tne tbke bt tm`es tne emrtn th trmvej mrhucf tne suc, mcftnmt jbont speef bs m cmturmj ahcstmct. Ms wejj we chte tnmt Mjpnm Aectmurb bs m stmr iust
jb`e tne suc, sbkbjmr bc sbze, jukbchsbty, mcf tne smke speatrmj ajmss. _e rhucfef hur
mcswer th tne cemrest wnhje cukder, mcf bt wms tnmt we nmve m =4% anmcae hl jmcfbco hcMjpnm Aectmurb.
_e tnec smbf tnbs wms tne peraect hl fevejhpkect thwmrfs dubjfbco nyperfrbve, mc ecobce
tnmt whujf tm`e us th tne stmrs. _e tnec smbf hur prhoress thwmrfs nyperfrbve kmy
fevejhp maahrfbco th tne cmturmj orhwtn equmtbhc9
(x(t));(xX7)eS`t
Vh lbcf ` we nmve tm`ec t ;67 yemrs, deamuse bc =2<2 tne lbrst kmc set lhht hc tne khhc,mcf bc 4772 we jmucanef tne Nersanej mcf Wjmca` tejesahpes tnmt wbjj see dma` th cemr tne
deobccbco hl tne Ucbverse. _e nmve tm`ec xX7 ; =/=77 th smy tnmt we deomc wbtn hcestep hut hl =77. Vne resujt bs9
(`) ; 7.7<4=
_e nmve9
(jho =77) ; (7.7<4=)t jho e
Hr, t ; ?6 yemrs
=2<2 + ?6 ;4761
B wms remfbco iust delhre fhbco tne amjaujmtbhc, Vne Wjht Vh Qmve Qharmtes, dy WmujJevbcshc, mcf nbs anmrmater, nbs nerhbce, Qberrm _mters, deomc ner mfvecture bc 4764. B
amjj tnbs ‚lbatbhc-remjbty ectmcojekect‛. B wrhte bc ky dhh`9 Lbatbhc-Temjbty
Ectmcojekect9 Jevbcshc, Msbkhv, mcf Ajmr`e9
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‚Bc tne amse hl Wmuj Jevbcshc, sanhjmrs bc tne luture trmvej tnrhuon tbke mcf use ajhcbco,
m ahcaept rejmtef th mrtblbabmj bctejjboecae (bt bs tne aremtbco hl nukmc repjbams ms wejj, dutdbhjhobamj, cht ejeatrhcba), mcf tne ohmj bs th smve oremt mcabect tnbc`ers lrhk Oreeae, mcf
th kmcbpujmte evects bc tne pmst lhr m phsbtbve hutahke lhr tne luture hl nukmcbty, iust ms
tne rhdhts try th fh bc tne whr` hl Msbkhv.‛
Ms bt whujf turc hut, tne chvejty rmtbco lhr tne yemr we set lhht hc tne khhc bc tne
Qnejbm` \ersbhc hl tne Ka@eccm Vbkwmve, bs hur orhwtn rmte ahcstmct 7.7<4= wnban
kujtbpjbef dy tec mcf rhucfef th twh pjmaes mlter tne feabkmj bt tne ohjfec rmtbh
ahciuomte. Vne Vbkewmve bs supphsef th snhw tne wmy nbsthry ucvrmvejs, bl we tm`e47=4 ms tne ecf phbct.
Wernmps hur amjaujmtbhc relers cht th nypefrbve, dut th htner bssues bl we tm`e Vne Wjht Vh
Qmve Qharmtes ms m fmtm phbct9 Bt femjs wbtn pnbjhshpny, vmjues, ajhcbco, mcf kuan khre.Bt kmy evec de we mre cht tmj`bco mdhut tne Emrtn, dut mchtner abvbjbzmtbhc hc mchtner
pjmcet bc tne Ucbverse. Hur matbhcs ahujf de ahcceatef th jble ejsewnere. _e iust fhc‒t
`chw, we hcjy presect tne amjaujmtbhcs.
Msbkhv
Bc tne amse hl Bsmma Msbkhv, we mre lmr bc tne luture hl nukmcbty. Bc nbs Thdht Qerbes,
Msbkhv nms kmc km`bco rhdhts wnhse prhormkkbco hcjy mjjhws tnek th fh tnmt wnban bsohhf lhr nukmcbty. Ms m resujt, tnese rhdhts, mrtblbabmj bctejjboecae (MB), tm`e matbhcs tnmt
prhpej nukmcbty bcth settjbco tne Omjmxy, bc tne rhdht serbes, mcf ujtbkmtejy smve
nukmcbty mlter tney nmve settjef tne Omjmxy mcf kmfe mc ekpbre hl bt (Bc tne LhucfmtbhcQerbes).
B chw lbcf tnmt Bsmma Msbkhv puts suan m fevejhpkect bc nbs sabecae lbatbhc mt m sbkbjmrtbke bc tne luture, preabsejy bc 4766, hcjy m yemr mlter ky prefbatbhc mcf twh yemrs mlterQberrm _mters bs nmcfef tne cewjy fbsahveref fhaukect tnmt bcbtbmtes ner mfvecture. Qh,
we nmve ky prefbatbhc, wnban bs rejmtef th tne struature hl tne ucbverse bc m kystbamj wmy
rbont bc detweec tne fmtes hl Jevbcshc mcf Msbkhv, tnebr fmtes hcjy debco m yemr jess mcf
m yemr oremter tnmc kbce.
Msbkhv pjmaes nyperfrbve bc tne yemr 4766 bc nbs snhrt sthry ‚Evbfecae‛ wnban bs pmrt hl
nbs sabecae lbatbhc ahjjeatbhc hl snhrt sthrbes amjjef, ‚B, Thdht‛.
Vnbs bs m ahjjeatbhc hl snhrt sthrbes wnere Thdht Wsyanhjhobst Fr. Qusmc Amjvbc bs
bctervbewef dy m wrbter mdhut ner experbecae wbtn tne ahkpmcy hc emrtn bc tne luture tnmtlbrst fevejhpef shpnbstbamtef rhdhts. Bc tnbs dhh`, tne jmws hl rhdhtbas mre aremtef mcf tne
bfem hl tne phsbtrhcba drmbc bctrhfuaef, mcf tne cmture hl tne bkpmat rhdhts whujf nmve hcnukmc abvbjbzmtbhc bs expjhref. Lhjjhwbco tnbs ahjjeatbhc hl sthrbes Msbkhv wrhte tnree
khre chvejs, wnban ahkprbse tne rhdht serbes, ‚Vne Amves hl Qteej‛, ‚Vne Cm`ef Quc‛,
mcf ‚Vne Thdhts hl Fmwc‛.
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‚B, Thdht‛ bs Emrtn bc tne luture iust delhre Nukmcbty settjes tne khre cemrdy stmrs. Vne
chvejs ahkprbsbco ‚Vne Thdht Qerbes‛ mre wnec nukmcbty nms ahjhcbzef tne cemrdy stmrsysteks, Vne Lhucfmtbhc Vrbjhoy, mcf bts prequejs mcf sequejs mre mdhut tne tbke
nukmcbty nms spremf tnrhuonhut tne ectbre omjmxy mcf kmfe mc Ekpbre hl bt. Mjj hl tnese
dhh`s amc de tm`ec thoetner ms hce sthry, wbtn anmrmaters mcf evects bc shke, haaurrbco
bc htners.Nyperfrbve bs bcvectef bc B, Thdht dy m rhdht amjjef Vne Drmbc, hwcef dy tne ahkpmcy
lhr wnban Fr. Qusmc Amjvbc whr`s wnec bt bs lef tne kmtnekmtbamj jhobstbamj prhdjeks hl
km`bco nyperfrbve, mcf ms`ef th shjve tnek. Bt fhes shjve tnek mcf bt hllers tne speas hc
dubjfbco mc bcterstejjmr snbp, lhr wnban twh ecobceers lhjjhw bc bts ahcstruatbhc. Vney mrenukhrhusjy sect marhss tne omjmxy dy Vne Drmbc, cht expeatbco bt, mcf drhuont dma` th
emrtn bc tne snbp mlter tney ahcstruatef bt. Vnbs wms bc tne sthry bc ‚B, Thdht‛ tbtjef
‚Esampe!‛.
Dut Fr. Qusmc Amjvbc stmtes bc tne lhjjhwbco snhrt sthry, tnmt B kectbhcef, ‚Evbfecae‛9
‚Dut tnmt wmsc‒t bt, ebtner‛…‛Hn, evectumjjy, tne snbp mcf htners jb`e bt deamkeohverckect prhperty0 tne Iukp tnrhuon nyperspmae wms perleatef, mcf chw we matumjjynmve nukmc ahjhcbes hc tne pjmcets hl shke hl tne cemrer stmrs, dut tnmt wmsc‒t bt.‛
‚Bt wms wnmt nmppecef th tne pehpje nere hc Emrtn bc jmst lblty yemrs tnmt remjjy ahucts.‛
Mcf, wnmt nmppecef th pehpje hc Emrtn8 Vne mcswer bs bc tne smke sthry ‚Evbfecae‛
lrhk wnban tnmt quhte bs mt tne deobccbco. Bt wms wnec tne Teobhcs hl tne Emrtn lhrkef
Vne Lefermtbhc. Fr. Qusmc Amjvbc smys mt tne ecf hl tne sthry ‚Evbfecae‛9
‚Ne wms m very ohhf kmyhr0 lbve yemrs jmter ne fbf deahke Teobhcmj Ah-hrfbcmthr. Mcf
wnec tne Teobhcs hl Emrtn lhrkef tnebr Lefermtbhc bc 4766, ne deamke tne lbrst _hrjfAh-hrfbcmthr.‛
Bt bs lrhk tnmt stmtekect tnmt B oet ky fmte hl 4766 ms tne yemr Msbkhv prhieats lhr
nyperfrbve.
Ajmr`e
Everytnbco Bc 477=9 M Qpmae Hfyssey dy Mrtnur A. Ajmr`e, Ferbvef Lrhk Cbce Lbltns
Bc 477=9 M Qpmae Hfyssey, tne snbp‒s ahkputer wms amjjef NMJ. Bt wms tne drmbc mcf
aectrmj cervhus systek hl tne snbp. Bt wms ms`ef bc tne khvbe9 Bs NMJ bctejjboect8 Bs nemjbve8 Qh lmr B nmve expjmbcef nhw cbce-lbltns haaurs bc tne Qhjmr Qystek mcf Cmture. B
nmve mjsh lhucf tnmt m ahkputer jb`e NMJ bs mjbve, bc m wmy. NMJ wms sbjbahc dmsef mcfB nmve lhucf tnmt sbjbahc nms tne ohjfec rmtbh ahciuomte bc bt, wnban bs reaurrect
tnrhuonhut jble mcf tnmt cbce-lbltns bs bc tne ohjfec rmtbh ahciuomte. B wrhte9
B nmve mjsh lhucf tnmt tne dmsbs hl ahkputers mcf MB (mrtblbabmj bctejjboecae), wnbanbs fhpef sbjbahc, nms tne ohjfec rmtbh bc tne kemcs hl bts ahkphcects. Vne ohjfec
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=7
rmtbh bs reaurrect tnrhuonhut jble deamuse hl tne fycmkbas bt nms th hller. Fhpef bssbjbahc, pnhspnhrus, mcf dhrhc. Vnese mre cmturmjjy haaurrbco ejekects, kmfe dy cmture, cmkejy lhroef bc stmrs. Bl W bs pnhspnhrus, D bs Dhrhc, mcf Qb bs sbjbahc(oehketrba kemc dy Qb)9
sqrt(W*D)/Qb;sqrt(17.2?*=7.>=)/(4>.72);7.<5
mcf jet us tm`e tne nmrkhcba kemc detweec pnhspnhrus mcf dhrhc mcf fbvbfe bt dy sbjbahc9
(4*(17.2?*=7.>=)/(17.2?+=7.>=))/4>.72 ;7.5?
Chw jet us tm`e tne mrbtnketba kemc hl tnese twh cukders9
(7.<5+7.5?)/4;7.<=
wnban mre tne lbrst twh fbobts bc tne ohjfec rmtbh ahciuomte.
B nmve lhucf cbce-lbltns bs bc tne prhphrtbhcs hl tne khchjbtn, bt fbkecsbhcs mre = dy 6 dy2. =+6 ; 5. B nmve tmj`ef mdhut nhw ky fbsahvery hl cbce-lbltns bc tne ucbverse ahkeslrhk m oypsy snmkmc vbm mc ME15 mcteccm hl nbs fesboc, mcf nhw we amc ferbve lrhkcbce-lbltns, m pjmcet ahkphsef hl eurhpbuk, mcf Eurhpm wms tne bkphrtmct khhc bc tneQpmae Hfyssey Chvejs hl Ajmr`e tnmt deamke m pjmcet th Juabpner. B snhwc tnmt NMJ bsahcceatef th cbce-lbltns, deamuse bt bs rejmtef th tne ohjfec rmtbh ahciuomte wnban bs bcQbjbahc. _btn tnmt, B nmve snhwc mjj hl tne ̀ ey mspeats hl 477= amc de ferbvef lrhk cbce-lbltns. B wrhte9
‚Vne ohjfec rmtbh ahciuomte bs 7.<=> th tnree feabkmj pjmaes. Chtbae tnmt tne 4cf mcf tnbrf fbobts mlter tne feabkmj mre = mcf >, tne twh fbobts bc 2/5 fbvbfef hut.Vne = mcf < mff up th ?, tne mvermoe hl cbce mcf lbve, tne < kbcus tne hce bs hur lbve, mcf, tne ebont pjus tne hce bs hur cbce. Qh essectbmjjy, we nmve ahcceatef tne khchjbtn hl Mrtnur A. Ajmr`e wbtn cmture, mcf ahkputers mcf mrtblbabmj bctejjboecae, bcteormtef abraubts, trmcsbsthrs, fbhfes (fhpef sbjbahc), wbtn tnekhchjbtn.‛
ME-15 Bs Tejmtef Vh Cbce-Lbltns
‚B wrhte m snhrt sthry jmst cbont, amjjef Oypsy Qnmkmcbsk mcf tne Ucbverse mdhut tne ME-
15 ucbt, wnban bs tne ucbt bc tne khvbe mcf dhh` 477=9 M Qpmae Hfyssey tnmt NMJ
rephrts wbjj lmbj mcf fbsahctbcue ahkkucbamtbhc th Emrtn. B feabfef th remf tne pmssmoefemjbco wbtn tne evect bc 477= mcf NMJ, tne snbp ahkputer, rephrts bt wbjj lmbj bc wbtnbc
?4 nhurs. Qtrmcoe, deamuse \ecus bs tne shurae hl ?.4 bc ky Ceptuce equmtbhc wnban
ahkes lrhk tne cbce-lbltns fbsahvery, mcf represects lmbjure, wnere Kmrs represects
suaaess.‛
_e nmve snhwc everytnbco bc Ajmr`e‒s Qpmae Hfyssey Chvejs amc de ferbvef lrhk cbce-
lbltns.
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Jevbcshc, Msbkhv, Ajmr`e, Mcf Vne Ceptuce Equmtbhc
B wrhte m dhh` wnere B km`e m prefbatbhc lhr tne bcvectbhc hl nyperfrbve. Bt amke hut
smcfwbanef detweec tne fmte Bsmma Msbkhv prefbats lhr nyperfrbve (4766) bc nbs sabecae
lbatbhc sthrbes, ‚B, Thdht‛, mcf tne fmte bc wnban Wmuj Jevbcshc‒s Nerbhbc, Qberrm _mters
deobcs ner mfvectures (4764), bc nbs dhh`, ‚Vne Wjht Vh Qmve Qharmtes‛. Vne fmte Bprefbatef wbtn kmtnekmtbas, wms 4761.
B nmppecef th km`e ky prefbatbhcs furbco m tbke wnec B wms remfbco tnese whr`s hl
Jevbcshc mcf Msbkhv. Rhu amc bkmobce ky surprbse wnec B lhucf Lbatbhc Ectmcojef_btn Temjbty, Vnere bs kuan khre th tnbs sthry, mcf bt resujtef bc ky dhh` Lbatbhc-Temjbty
Ectmcojekect9 Jevbcshc, Msbkhv, Mcf Ajmr`e. Kmcy bcterestbco ectmcojekects arhppef
up.
Iust wnmt wms tne resemran B wms fhbco wnec B experbecaef tnbs ectmcojekect8 B wms
whr`bco hc ky ecbokmtba fbsahvery hl cbce-lbltns bc tne Ucbverse, wnban jemf th ky dhh`
‚Mre Nukmcs Mjhce Bc Vne Ucbverse Mcf Mre Vney Nere Lhr M Temshc‛.
Chw B lbcf Lbatbhc-Temjbty Ectmcojekect9 Jevbcshc, Msbkhv, Mcf Ajmr`e‛ bs ectmcojef
wbtn ‚Mre Nukmcs Mjhce Bc Vne Ucbverse Mcf Mre Vney Nere Lhr M Temshc8‛ B sbkpjy
thh` Mrtnur A. Ajmr`e‒s ‚47<=9 Hfyssey Vnree‛ deamuse bt wms tne htner dhh` B wms
remfbco wnec B wms fhbco ky resemran mcf wms pmrt hl tne Lbatbhc-Temjbty Ectmcojekect9Jevbcshc, Msbkhv, Mcf Ajmr`e‛.
B sbkpjy tnhuont sbcae Ajmr`e‒s Hfyssey Vnree, deamuse bt tm`es pjmae bc 47<= mcf tnmt bstne tbke ajhsest th tne 4764 hl Qberrm _mters, tne 4766 hl Msbkhv, mcf tne 4761 hl ky
prefbatbhc, B whujf sudtrmat ky 4761 lrhk tne 47<= hl Ajmr`e‒s Hfyssey Vnree mcf tne
resujt bs9
47<=-4761;=>
Vne mcswer bs bt tm`es pjmae => yemrs mlter ky prefbatbhc hl 4761. Fbvbfe => dy =7, tne
cukder hl lbcoers we nmve th ahuct hc, mcf yhu oet hce phbct ebont. Bl yhu fbvbfe tne 2dy 5 bc ky ecbokmtba cbce lbltns, yhu oet hce phbct ebont, ms wejj. B ahcsbfer Jevbcshc mcf
Msbkhv‒s fmtes th de upper mcf jhwer jbkbts lhr nyperfrbve, deamuse ky vmjue bs
smcfwbanef detweec tne twh. Vnmt bs bt wbjj mt tne emrjbest nmppec bc 4764 hr dy tne jmtest
4766. Ebtner tnmt, hr tne tnree fmtes mre spem`bco hl mc ephan ahcceatef th tne stmrs, bcpmrtbaujmr Mjpnm Aectmurb, deamuse B usef bt bc ky amjaujmtbhc, cht th kectbhc tne speef hl
jbont mcf tne tbke bt tm`es emrtn th km`e hce revhjutbhc mrhucf tne suc (= yemr).
Msbkhv, Ajmr`e, mcf Nebcjebc mre ahcsbferef tne Vnree Wbjjmrs hl Khferc QabecaeLbatbhc. B see Nebcjebc khre ms usbco sabecae lbatbhc th expjhre phjbtbas. B jb`e th put
Jevbcshc, Msbkhv, mcf Ajmr`e thoetner ms tne nemrt hl Qabecae Lbatbhc, wnban bs tne spbrbt
hl sabecae thfmy, mcf pernmps Nebcjebc ms tne kbcf, shketbkes, th use tne Nbcfu khfej
wnere Vne Nemrt bs very bkphrtmct, dut kemcs chtnbco wbtnhut tne oubfmcae hl tne Kbcf.Hl ahurse mjj tne mdhve mutnhrs ekdmr`, ujtbkmtejy bc tne remjk hl tne kbcf mcf tne nemrt.
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Cmture Qpem`s Hl Nukmc Festbcy
Bcfeef hur festbcy seeks th de hutjbcef dy tne struature hl cmture, mcf B
whujfc‒t de surprbsef bt nms extrmterrestrbmj tbes. B wrhte9
Vne Cbce-Lbltns Kystery Deobcs th Expmcf9 Mjjhys
Vnbs bs remjjy exabtbco, mcf bt snhws ky remshcbco kmy de ahrreat, th tnbc` tnmt nukmc
matbvbtbes nmve m fbvbce ahcceatbhc th tne ahskhs. B nmf lhucf tnmt Qmturc (seahcf jmroest
pjmcet) hrdbt th Iupbter (lbrst jmroest pjmcet) hrdbt wms 2 th 5 puttbco tne Emrtn mt hce ucbtlrhk tne Quc. Mkmzbcojy B lhucf tne shjmr rmfbus th tne jucmr hrdbt wms tne smke tnbco.
_nmt bs khre tne khst preabhus hl tne ketmjs bc khjmr kmss, ohjf th sbjver wms 2 th 5 ms
wejj.
Bt whujf seek ms emrjy ms <777 DA tne Qukerbmcs were phucfbco ohjf mcf sbjver hut th
saujpt tnbcos uctbj tney rmc hut. Vney were fhbco tnbs wbtn ahpper ms wejj, mchtner shlt,kmjjemdje ketmj, uctbj tney rmc hut. Mlter ruccbco hut tney nmf th jemrc th sepmrmte tne
hres hl tnese ketmjs lrhk htner sudstmcaes. Evectumjjy tney bcvectef `bjcs tnmt mjjhweftnek th kejt tne stull mcf kbx bt wbtn tbc, th aremte tne lbrst mjjhy, wnban we amjj drhcze.
Vnbs deomc mc moe amjjef Vne Drhcze Moe, ms emrjy ms 1577 DA. Bt wms tne deobccbco hl
ketmjjuroy.
Vne Qukerbmcs bcvectef tne `bjcs bc tne lbrst pjmae th lbre ajmy. Vhfmy, km`bco
Ahkkerabmj Drhcze uses zbca ms tne mjjhybco ketmj. Qh B ouessef, iust ms Ohjf th Qbjver
bs 2 th 5, sh snhujf tbc th zbca de tne smke. Vnbs bs exmatjy wnmt nmppecef9
Mu/Mo ; =2<.2?/=7?.>? ; =.>4522 ~ 2/5 ; =.> (ohjf th sbjver)
Qc/Yc ; ==>.?=/<5.12 ; =.>=56= ~ 2/5 ; =.> (tbc th zbca)
B nmf mjsh lhucf tnmt cbce-lbltns ucblbes pb mcf tne ohjfec rmtbh, mcf tnmt bt bs bc tne
rhtmtbhc hl petmjs mrhucf m lbve petmj ljhwer, m khst phpujmr mrrmcoekect (lbve lhjf
sykketry bs very typbamj th jble). Qee ‚Mstrhchkbm Ljmkecam‛.
Lhr wejj hver m nucfref tnhusmcf yemrs, nukmcs wmcfer mcf omtner, tnec mjj hl tne
suffec hce trbde, tne Qukerbmcs settje fhwc mjhco tne Vborbs mcf Eupnrmtes bc
Keshphtmkbm (Brmq) mcf dubjf drba` nhuses, bcvect morbaujture, bcvect wrbtbco, mcf
ketmjjuroy, kefbabce, ahbcs, maahuctbco, kmtnekmtbas mcf abvbjbzmtbhc bc oecermj. Bt nmsdeec m ahcsbferef m oremt kystery wny, mcf evec nhw, tney fbf tnbs, mjkhst hvercbont hc
mc mranmehjhobamj tbke samje. Vnmt tney whujf fh bt seeks th de wrbttec bc tne stmrs, mcf B
whujfc‒t de tne lbrst th suooest bt wms extrmterrestrbmjs hl bctejjboecae lmr deyhcf tnmt hl tne nukmc (nhkh smpbec) tnmt nmf m nmcf bc mjj hl tnbs.
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Ky fbsahvery hl cbce-lbltns bc cmture jemf th ky ceptuce equmtbhc mcf th ky urmcusequmtbhc. Cbce-lbltns B lhucf wms tne ybc lhr wnban ymco wms lbve-tnbrfs.
_nmt fhes tnbs kemc8 _ejj bl Ohjf th Qbjver bs =.>, mcf tbc th zbca bs =.> (Drhcze Moe),tnec snhujf cht tne cext cukder bc tne cbce-lbltns sequecae, wnban bs 1.<, represect Vne
Brhc Moe. _ejj bt fhes. Ms bt turcs hut, ohjf (Mu) th Brhc Le bs 1.5, fbvbfbco hut khjmr
kmsses, ms we stmtef bc Vne Oecesbs Nyphtnesbs.
Mlter tne Brhc Moe, hce kbont ahcsbfer bt bs chw, mcf bs tne Qbjbahc Moe, deamuse sbjbahc
mjjhws lhr bcteormtef abraubtry. _e ahujf amjj bt tne moe hl ejeatrhcbas, pernmps detter tne
moe hl fbobtmj ejeatrhcbas. Qbjbahc snhujf tnec de tne tnbrf terk bc tne cbce-lbltns
sequecae, wnban bs 5.6. Dut we whujf nmve th fbvbfe bt bcth shketnbco. Hce whujf ouessbt whujf de Eurhpbuk, deamuse bt nms ch dbhjhobamj lucatbhc, iust m use lhr ejeatrhcbas bc
tnmt bt bs pnhspnhresaect (ojhws). _ejj iust ms B ouessef, Eurhpbuk (Eu) fbvbfef dy
Qbjbahc (Qb) bs 5.69
Eu/Qb ;=5=.2?/4>.72 ; 5.6=7==71< ~ 5.6
Bt bs mjkhst exmat!
Vne Moe hl Bcterstejjmr Vrmvej
Vbc th zbca wms tne =.> hl Vne Drhcze Moe. Ohjf th Brhc wms tne 1.< hl Vne Brhc Moe.
Eurhpbuk th Qbjbahc wms tne 5.6 hl tne Fbobtmj Ejeatrhcbas Moe. Vne cext cukder bc tnecbce-lbltns sequecae bs ?.4. _e mssuke tnmt bs Vne Moe hl Nyperspmtbmj Vrmvej. Bc htner
whrfs tne moe hl tne fevejhpkect hl m stmrsnbp. Vnere nms deec shke bcfbamtbhc tnbs
whujf de phweref dy tne reaect mffbtbhc th Vne Werbhfba Vmdje Hl Vne Ejekects,Ejekect ==5 (mthkba kmss 4>>). Vne ejekect wms reaectjy syctnesbzef bc 4771. Vh
feterkbce tne ejekect tnmt fbvbfes bcth bt th km`e ?.4, we wrbte9
4>>/x ; ?.4
?.4x ; 4>>
4>>/?.4 ; 67 ; Amjabuk ; 67.7>
Vne ejekect Amjabuk. B nhpef th lbcf shketnbco tnmt whujf de m ajue th km`bco
nyperfrbve (m stmr ecobce). Dut Amjabuk bs tne khst mducfmct ketmj bc kmcy mcbkmjs,
kbcermjbzbco th km`e dhce, teetn, mcf snejjs. Bt bs mjsh tne lbltn khst mducfmct ejekect bctne Emrtn‒s arust dy kmss.
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Oypsy Qnmkmcbsk Mcf Vne Ucbverse
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Bctrhfuatbhc9 M Vnhrhuon Vremtkect Hl Fbkecsbhcmj Mcmjysbs
Ucbts mre tne dmsba kmocbtufes we use th kemsure fbkecsbhcs, wnban mre qumctbtbes we
use th fesarbde cmture, jb`e jecotn, kmss, tbke, tekpermture, mcf eceroy. _e felbce m
`bjhketer th hce tec tnhusmcftn hl tne fbstmcae lrhk tne phje th tne equmthr, m keter th de
hce tnhusmcftn hl m `bjhketer, m aectbketer th de hce nucfreftn hl m keter. _e felbce mseahcf th de hce ><, 677tn hl mc Emrtn fmy, mcf m ormk th de tne webont hl m audba
aectbketer hl wmter mt stmcfmrf tekpermture mcf pressure, wnban bs zerh feorees
aectbormfe mcf tne pressure mt sem jevej. _e felbce hce feoree aectbormfe dy smybco zerh
feorees bs tne tekpermture mt wnban wmter lreezes, mcf =77 feorees aectbormfe bs tnetekpermture mt wnban wmter dhbjs. Vnbs bs tne ketrba systek, mcf we aremtef bt bc terks hl
tne whrjf we `chw. Mcf we aremtef bt sh tnmt dy mssbocbco m Oree` prelbx, jb`e @bjh
(kemcbco tnhusmcf) wnec mttmanef th keter, kemcs m tnhusmcf keters, hr dy mssbocbco
tne Oree` prelbx aectb (kemcbco nucfreftn) bs hce nucfreftn hl m keter. Vnmt bs m keterbs m nucfref aectbketers, mcf m `bjhketer bs =777 tnhusmcf keters. Vne systek bs useluj
deamuse cht hcjy nmve we ferbvef tne ucbts lrhk pnysbamj prhpertbes, tne fbllerect ucbts bc
tne systek orhw ms kujtbpjes hl tec. Qh, bl we wmct th whr` wbtn kemsurbco shketnbcoskmjj, jb`e mc mahrc, we fesarbde bt wbtn aectbketers, mcf bl we whr` wbtn shketnbcojmroe, jb`e tne fbmketer hl tne emrtn we use `bjhketers.
Delhre tne ketrba systek, we kemsuref qumctbtbes bc terks hl leet mcf phucfs, wnbje
seahcfs nmve mjwmys deec ahcstmct th dhtn tne lhht-phucf systek mcf tne ketrba systek.Wrhdmdjy deamuse seahcfs mre ferbvef lrhk tne 1<5 fmy, twejve khctn, yemr mcf tne 46
nhur fmy, wnban nbsthrbamjjy fevejhpef lrhk wbse amjecfmr km`ers hver tnhusmcfs hl
yemrs. Dut tne lhht km`es jbttje secse, hcjy ahkbco pernmps lrhk tne nemrsmy snhe sbze hl m `bco, mcf tne phucf lrhk Ohf `chws wnere. Qtbjj lurtner, tnbs systek whujf seek cht
th de tnmt prmokmtba bc tnmt tnere mre twejve bcanes bc mcf lhht mcf tnree leet bc m ymrf, m
lmr ary lrhk tne secsbdbjbty hl tne ketrba systek wnere mjj sbzes hr mkhucts mre m kujtbpjehl tec hl mchtner.
Eurhpe uses tne ketrba systek, jb`e rhmf sbocs mre bc `bjhketers, mcf snhe sbzes bc
aectbketers. _e use kbjes lhr hur rhmf sbocs mcf bcanes lhr snhe sbzes. Nhwever,
deamuse hl tne prmokmtba cmture hl tne ketrba systek, Mkerbamc mcf Eurhpemc sabectbstsuse tne ketrba systek mjb`e. Hltec, nhwever, deamuse tne lhht-phucf systek bs stbjj bc use
bc Vne Ucbtef Qtmtes, sabectbst shketbkes lbcf tneksejves nmvbco th oh th tne ellhrt hl
ahcvertbco fmtm tney ceef lrhk leet mcf phucfs th keters mcf `bjhormks.
Dut wnmt bl B smbf cht hcjy mre dhtn tne ketrba systek mcf tne lhht-phucf systek
ahcceatef th tne Ucbverse dut th hce mchtner bc m wmy tnmt whujf suooest tne evhjutbhc hl tnebr fevejhpkects bs fbllerect tnmc tne nbsthry we `chw8 Vnmt bs wnmt B seek th de
lbcfbco.
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Ky Ahskba Mranmehjhoy bs dmsef hc tne bfem tnmt 2/5 bs tne Rbc hl tne Ucbverse, 5/1 bs
tne Rmco hl tne Ucbverse, mcf =5 (Kmcuej‒s cukder, K) bs tne kmoba cukder. _btntnese tnree cukders we ahcstruat m Ucbverse tnmt seeks strb`bcojy khre tnmc
ahbcabfectmj.
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ME-15
B wrhte m snhrt sthry jmst cbont, amjjef Oypsy Qnmkmcbsk mcf tne Ucbverse mdhut tne ME-
15 ucbt, wnban bs tne ucbt bc tne khvbe mcf dhh` 477=9 M Qpmae Hfyssey tnmt NMJ
rephrts wbjj lmbj mcf fbsahctbcue ahkkucbamtbhc th Emrtn. B feabfef th remf tne pmssmoe
femjbco wbtn tne evect bc 477= mcf NMJ, tne snbp ahkputer, rephrts bt wbjj lmbj bc wbtnbc?4 nhurs. Qtrmcoe, deamuse \ecus bs tne shurae hl ?.4 bc ky Ceptuce equmtbhc mcf
represects lmbjure, wnere Kmrs represects suaaess. Cht hcjy tnmt, wnec B jemrcef tne
nbonest oekmtrbm (cukerbamj vmjue) lhr tne cmke hl tne Nedrew Ohf, RN_N bs ?4 lrhk
wnmt Fhvbf @rmlanhw, tne Iewbsn Dhnekbmc smbf, bt resujtef bc ky whr` RN_N, Bsntmr,Mcf Vne Ceptuce Equmtbhc bc ky dhh`, Qet Vnehry 7= Mcf 74 Mcf 71. Lurtner tnbs
ahcceats th ky dhh` mdhut nhw Wmuj Jevbcshc, Bsmma Msbkhv, Mcf Mrtnur A. Ajmr`e
ectmcoje wbtn ky jble mcf fbsahverbes mdhut tne Ucbverse, amjjef9 Lbatbhc Temjbty
Ectmcojekect9 Jevbcshc, Msbkhv, Mcf Ajmr`e. Jmtejy suan ectmcojekect nms pba`ef upbc pmae, mcf B fhc‒t nmve tne tbke th wrbte bt mjj hut, dut B tnbc` tnbs bs hl pmrtbaujmr
bkphrtmcae shkenhw, sh B mk wrbtbco mdhut bt. Nere mre jbc`s th tne tnree dhh`s B iust
kectbhcef9
Bmc Demrfsjey
Muoust 5, 47=4
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=>
Anmpter Hce
Bt kust nmve deec =2>2 hr =227 wnec B thh` m jemve hl mdsecae lrhk Vne Ucbversbty Hl
Hreohc, stufybco Qpmcbsn, Wnysbas, mcf whr`bco mt tne stmte hdservmthry bc Hreohc --
Wbce Khuctmbc Hdservmthry‖th pursue ljmkecah bc Qpmbc.
Vne khhrs, wnban amrvef amves bcth tne nbjjs lhr resbfecae wnec tney were dubjfbco tne
Mjnmkdrm Amstje hc tne nbjj lmabco tnek, mdmcfhcef tnek delhre tne Oypsbes, hr Thkm,
nmf mrrbvef tnere bc Ormcmfm Qpmbc. Vne Oypsbes were reshuraeluj echuon th stuaah mcf
tbje tne mdmcfhcef amves, mcf tm`e tnek up lhr nhkes.
Jbvbco bc hce suan amve hwcef dy m oypsy snmkmc, wms remjjy cht m fhwc mcf hut
sbtumtbhc, ms tnese nhkes nmf pjukdbco mcf oms ahh`bco ucbts tnmt rmc hll dhttjes hl
prhpmce. Bt wms remjjy ahkpmrmdje th jbvbco bc m Cmtbve Mkerbamc mfhde nhke bc CewKexbah.
Hl ahurse jbvbco bc suan m pjmae amke wbtn resphcsbdbjbtbes, mcf tnmt bcajufef wmterbco btsomrfecs. Vne Qnmkmc thjf ke9 ‚_mter tne ljhwers, mcf, wnec yhu mre fhce, rhjj up tnenhse mcf put bt bc tne amve, hr bt wbjj oet sthjec‛. B nmf stufbef Amstbjbmc Qpmcbsn bc
ahjjeoe mcf ms suan m nhse bs ‚ucm kmcouerm‛, dut tne Qnmkmc amjjef bt ‚ucm ohkm‛ mcf
ohkm trmcsjmtes ms rudder. Thjj up tne nhse mcf put bt mwmy wnec yhu mre fhce wbtn bt9
ohhf mfvbae!
Qh, B wmter tne ljhwers, rhjjup tne nhse mcf put bt mwmy. Vne Qnmkmc ahkes th tne amve
tne cext fmy mcf tejjs ke B fbfc‒t rhjj up tne nhse mcf put bt mwmy, sh bt oht sthjec, mcftnmt B nmf th duy nbk m cew hce.
Ne ahkes dy tne amve m lew fmys jmter, wm`es ke up ms`s ke th maahkpmcy nbk hut hl Vne Qmarhkhcte, th shke pjmae detweec tnere mcf tne hjf Mrmdba abty, Mjdmbabc, th duynbk m cew nhse.
Bt wmsc‒t m lmr wmj` mt mjj, tne equbvmject hl m lew abty djha`s lrhk tne amves. _e oet th
tne sthre, wnban wms m ahucter lmabco tne street, cht hce tnmt yhu ahujf ecter. Ne smys thtne kmc denbcf tne ahucter, obve ke 5 keters hl nhse. Vne kmc denbcf tne ahucter
pujjef hll lbve keters hl nhse lrhk tne spbcfje, mcf aut tne nhse th tnmt jecotn. Ne stmtef
m vmjue bc pesetms, kmyde >77, hr sh, (mdhut ebont fhjjmrs mt tne tbke) mcf tne Qnmkmc thjf
ke th obve tnmt mkhuct th tne kmc denbcf tne ahucter, wnh wms Qpmcbsn. B pmbf tne kmc,mcf we jelt.
B amrrbef tne nhse, mcf tne Qnmkmc wmj`ef mjhco sbfe ke uctbj we mrrbvef mt nbs amve
wnere B wms stmybco. _e ecteref tne amve sthppef mt tne wmj` wmy detweec jbvbco rhhkmcf `btanec, mcf ne smbf9 ‚lhjjhw ke‛. _e wect tnrhuon m tuccej tnmt nmf mdhut tnree
anmkders bc tne amve, mcf ecteref hce hc hur rbont ms we were nemfbco bc, mcf we
sthppef mcf delhre ke wms m ahjjeatbhc hl wnmt B estbkmtef th de lblteec rudder nhses
sbttbco hc orhucf. Vne Qnmkmc thjf ke th set tne hce B nmf iust dhuont nbk hc tne ljhhr
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wbtn tne htners. B fbf, mcf we jelt tne anmkder, mcf ne jelt tne amve, mcf B retremtef th m
ahuan bc tne amve jbvbco rhhk.
Anmpter Vwh
Oypsbes nmve m wmy hl `chwbco tnbcos mdhut m pershc, wnetner hr cht hce fbsajhses bt thtnek bc whrfs, mcf Vne Qnmkmc wms mwmre tnmt B cht hcjy whr`ef bc Mstrhchky, dut tnmt
ky whr` bc mstrhchky bcvhjvef `chwbco mcf fhbco ejeatrhcbas.
Qh, kmyde m wee` hr twh mlter B nmf dhuont nbk m nhse, ne amke th nbs amve wnere B wmsstmybco, mcf ms`ef ke bl B whujf de mdje th bcstmjj mc mcteccm lhr tejevbsbhc mt mc
mpmrtkect wnere nbs cepnew jbvef.
Qh tnbs tbke B wms cht amrrybco m nhse tnrhuon Vne Qmarhkhcte, dut mc mcteccm.
Vnere were severmj hl us hc tne pmtbh, hc m nbjj mfimaect th tne mpmrtkect hl Vne Qnmkmc‒s
Cepnew, bcstmjjbco mc mcteccm lhr tejevbsbhc reaeptbhc.
Anmpter Vnree
B mk chw bc Qhutnerc Amjblhrcbm, mt tne nhuse hl ky khtner, bt bs jmte mt cbont, sne bs m
msjeep, mcf B mk mdhut 46 yemrs hjf mcf B feabfe th jhh` hut tne wbcfhw, emst, marhss VneMtjmctba, th Qpmbc. Bkkefbmtejy B see tne Qnmkmc, bc nbs jbvbco rhhk, wnere B nmf emtec m
dhwj hl tne Oypsy shup amjjef Wuanerh, mcf B nemr tne whrf Mcteccm. B chw remjbze
wnec B bcstmjjef tne mcteccm, B nmf deahke hce, mcf wms reaebvbco kessmoes lrhk tneQnmkmc.
Vne Qnmkmc‒s Anbjfrec were ljmkecah oubtmrbsts, mcf B jemrcef lrhk tnek, th pjmy tneoubtmr. B mk chw pjmybco ljmkecah, wbtn bcstruatbhcs lrhk tne snmkmc th put tne oypsyspmae prhormk bcth ky kusba. B remjbze B mk cht iust mcy mcteccm, dut tne ME15 tnmt
kmjlucatbhcef mdhmrf Vne Fbsahvery iust delhre bt mrrbvef mt tne pjmcet Iupbter bc Mrtnur
A. Ajmr`e‒s mcf Qtmcjey @udrba`‒s ‚477=9 M Qpmae Hfyssey‛. Vne Qnmkmc tejjs ke,
tejepmtnbamjjy, tnmt tnbs tbke tne kbssbhc whc‒t lmbj.
Anmpter Lhur
B mk wmtanbco Qtmr _mrs mcf see m spmaesnbp, wnban bs twh hdjhco ampsujes ljybcoahcceatef bc tmcfek. Vne Oypsy Qnmkmc smys th ke tejepmtnbamjjy9 ‚Fbhs es ucm bfem9
shc fhs‛. B ucferstmcf tnmt th kemc ‚Ohf bs mc bfem9 tnere mre twh ejekects‛. Qh B ohtnrhuon jble dmsbco ky jble hc tne cukder twh.
Anmpter Lbve
Hcae hce nms tmstef Qpmbc, tnmt pershc jhcos th returc. B jmcf bc Kmfrbf, Chrtnerc Qpmbc,
Vne Ampbthj. Vne Qpmcbmrfs `chw ky festbcmtbhc bs Ormcmfm, Qhutnerc Qpmbc, Vne OypsyCebondhrnhhf amjjef Vne Qmarhkhcte, tne amves, mcf bkkefbmtejy reahocbze B mk ucfer
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tne spejj hl m Oypsy Qnmkmc, mcf wnmt bs khre tnmt B mk Vne ME15 Mcteccm lhr Vne
Oypsy Qpmae Wrhormk. Ljmkecah debco ljmkecah, tne Qpmcbmrfs fh cht ucfh tne spejj,dut reprhormk tne bcstruatbhcs lhr ke, tne ME15 Mcteccm, sh tnmt wnec B mrrbve dma` bc
tne Ucbtef Qtmtes, ky ljmkecah wbjj chw stmte tnebr bfem hl m spmae prhormk. Bt wms hl
ahurse, ljmkecah debco ljmkecah, mc mttekpt th hut-fh tne Oypsy spmae prhormk.
Anmpter Qbx
B mk dma` bc tne Ucbtef Qtmtes mcf B mk mt tne nhuse hl ky khtner, bt bs cbont tbke mombc,
sne bs msjeep, mcf B jhh` hut tne wbcfhw emst, marhss tne Mtjmctba, th Qpmbc, mcf tnbs tbke Bfh cht see tne jbvbco rhhk hl tne oypsy snmkmc, dut tne streets hl Kmfrbf mt cbont, mcf mjj
tne pehpje, mcf tne whrf Iupbter ahkes th kbcf mcf B mk mdhut th smy hl ahurse, Iupbter,
mcf Vne Qpmcbsn bcterrupt mcf smy ‚Res, yhu mre rbont bt bs tne jmroest pjmcet bc tne shjmr
systek, yhu mre rbont th ahcsbfer bt, mjj ejse wbjj ljhw lrhk bt.‛
B `chw rmtbhs, bc kmtnekmtbas mre tne khst bcterestbco sudieat, jb`e pb, tne rmtbh hl tne
abrauklerecae hl m abraje th bts fbmketer, mcf tne ohjfec rmtbh, sh B ahcsbfer tne rmtbh hl tne hrdbt hl Qmturc (tne seahcf jmroest pjmcet bc tne shjmr systek) th tne hrdbt hl Iupbter mttnebr ajhsest mpprhmanes th Vne Quc, mcf lbcf bt bs cbce-lbltns (cbce ahkpmref th lbve)
wnban fbvbfef hut bs hce phbct ebont (=.>).
B tnec prhaeef th tne cext jhobamj step9 cht rmtbhs, dut prhphrtbhcs. M rmtbh bs tnbsahkpmref th tnmt, dut m prhphrtbhc bs tnbs bs th tnmt ms tnbs bs th tnmt. Qh tne questbhc bs9
Qmturc bs th Iupbter ms wnmt bs th wnmt8 Hl ahurse tne mcswer bs ms Ohjf bs th Qbjver. Ohjf
bs fbvbce0 sbjver bs cext fhwc hc tne jbst. Hl ahurse hce fhes cht ahkpmre m fhzechrmcoes th m nmjl fhzec mppjes, dut m fhzec hl hce th m fhzec hl tne htner, bl hce wmcts th
extrmat mcy `bcf hl kemcbco. Dut mthks hl ohjf mcf sbjver mre cht kemsuref bc fhzecs,
dut bc khjes. Qh B ahkpmref m khje hl ohjf th m khje hl sbjver, mcf B smbf ch wmy, bt bscbce-lbltns, mcf Qmturc bs bcfeef th Iupbter ms Ohjf bs th Qbjver.
B smbf th kysejl9 Nhw lmr fhes tnbs oh8 Vne Qnmkmc‒s shc hcae thjf ke ne wms bc jhve
wbtn khhc. Qh B ahkpmref tne rmfbus hl tne suc, tne fbstmcae lrhk bts aecter th bts surlmae
th tne jucmr hrdbtmj rmfbus, tne fbstmcae lrhk tne aecter hl tne emrtn th tne aecter hl tnekhhc. Bt wms Cbce ahkpmref th Lbve mombc!
Anmpter Qevec
B nmf lhucf 2/5 wms mt tne arux hl tne Ucbverse, dut lhr every ybc tnere nmf th de m ymco.
Cbce lbltns wms hce mcf ebont-tectns hl tne wmy mrhucf m abraje. Vne hce thh` yhu dma` thtne deobccbco wnban jelt yhu wbtn > tectns. Chw oh th ebont tectns bc tne htner fbreatbhc,
bt bs ?4 feorees hl tne 1<7 feorees bc m abraje. Vnmt bs tne sepmrmtbhc detweec petmjs hc mlbve-petmjef ljhwer, m khst phpujmr mrrmcoekect. Bcfeef jble bs `chwc th nmve lbve-lhjf
sykketry, tne pnysbamj, jb`e schwljm`es, sbx-lhjf. Fh tne mjohrbtnk hl lbve-lhjf
sykketry bc reverse lhr sbx-lhjf sykketry, mcf yhu oet tne ymco th tne ybc hl cbce-lbltns
bs lbve-tnbrfs.
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Cbce-lbltns wms bc tne ejekects ohjf th sbjver, Qmturc th Iupbter, Quc th khhc. _nere wms
lbve-tnbrfs8 Qmjt hl ahurse. ‚Vne Qmjt Hl Vne Emrtn‛ bs tnmt wnban bs ohhf, iust remfQnm`espemre‒s ‚@bco Jemr‛. Qhfbuk bs tne ketmj ahkphcect th tmdje smjt, Whtmssbuk bs,
msbfe lrhk debco mc bkphrtmct lertbjbzer, tne sudstbtute lhr Qhfbuk, ms m ketmj ahkphcect
th km`e smjt sudstbtute. Vne khjmr kmss hl phtmssbuk th shfbuk bs lbve th tnree, tne ymco
th tne ybc hl cbce-lbltns, wnban bs ohjf th sbjver. Dut kujtbpjy ybc wbtn ymco, tnmt bs cbce-lbltns wbtn lbve-tnbrfs, mcf yhu oet 1, mcf tne emrtn bs tne tnbrf pjmcet lrhk tne suc.
B tnhuont tne arux hl tne ucbverse kust de tne fbllerecae detweec cbce-lbltns mcf lbve-
tnbrfs. B sudtrmatef tne twh mcf oht twh-lblteectns! Vwh ahkpmref th lblteec! B nmfdhuont tne Qnmkmc nbs lblteectn rudder nhse, mcf mlter ne kmfe ke bcth tne ME15
Mcteccm hce hl nbs lbrst trmcskbssbhcs th ke wms9 ‚Ohf Bs Mc Bfem9 Vnere Mre Vwh
Ejekects‛.
Bt bs sh hdvbhus, tne khst mducfmct oms bc tne Emrtn Mtkhspnere bs Cbtrhoec,anekbamj sykdhj =5!
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Vne Qequecae
_e ahcsbferef tne rmtbh cbce th lbve, tnec tne prhphrtbhc mcf lhucf bt bc Qmturc Hrdbt th
Iupbter hrdbt, Qhjmr Tmfbus th Jucmr Hrdbt, Ohjf th Qbjver mcf bl ljhwer petmj
mrrmcoekects. Bt bs jelt tnec th ahcsbfer tne wnhje cukder kujtbpjes hl cbce-lbltns (=.>)
hr tne sequecae9
=.>, 1.<, 5.6, ?.4,…
bc htner whrfs, mcf we jhh` th see bl bt bs bc tne shjmr systek mcf lbcf bt bs bc tne lhjjhwbcowmys9
=.>
Qmturc Hrdbt/Iupbter Hrdbt
Qhjmr Tmfbus/Jucmr Hrdbt
Ohjf/Qbjver
1.<
(=7)Keraury Tmfbus/Emrtn Tmfbus
(=7)Keraury Hrdbt/Emrtn Hrdbt
(emrtn rmfbus)/(khhc rmfbus);6(feorees bc m abraje)(khhc fbstmcae)/(suc fbstmcae)
; 1.? ~ 1.<
Vnere mre mdhut ms kmcy fmys bc m yemr ms feorees bc m abraje.
(\hjuke hl Qmturc/\hjuke Hl Iupbter)(\hjuke Hl Kmrs) ; 7.1? audba emrtn rmfbb~ 1.<
Vne jmtter amc de ahcvertef th 1.< dy kujtbpjybco bt dy (Emrtn Kmss/Kmrs Kmss) deamuseEmrtn bs mdhut tec tbkes ms kmssbve ms Kmrs.
5.6
Iupbter Hrdbt/Emrtn HrdbtQmturc Kmss/Ceptuce Kmss
?.4
=7(\ecus Hrdbt/Emrtn Hrdbt)
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Vne Ceptuce Equmtbhc
Bl we ahcsbfer ms wejj tne sequecae wnere we deobc wbtn lbve mcf mff cbce th eman
suaaessbve terk9 5, =6, 41, 14…Vnec, tne struature hl tne shjmr systek mcf fycmkba
ejekects hl tne Ucbverse mcf Cmture bc oecermj mre tbef up bc tne twh sequecaes9
5, =6, 41, 14,…
mcf
=.>, 1.<, 5.6, ?.4,…
Nhw fh we lbcf tne ahcceatbhc detweec tne twh th jhamjbze tne pbvhtmj phbct hl tne shjmr
systek8 _e tm`e tnebr fbllerecae, sudtrmatbco respeatbve terks bc tne seahcf sequecaelrhk tnhse bc tne lbrst sequecae th hdtmbc tne cew sequecae9
1.4, =7.6, =?.<, 46.>,…
_nban bs mc mrbtnketba sequecae wbtn ahkkhc fbllerecae hl ?.4 kemcbco bt bs wrbttec
?.4c ‑ 6 ; mXc
Vne mXc bs tne ctn terk hl tne sequecae, c bs tne cukder hl tne terk bc tne sequecae.
Vnbs we chtbae amc de wrbttec9
P(\ecus-hrdbt)/(Emrtn-hrdbt)[P(Emrtn-kmss)/(Kmrs-kmss)[c ‑ (Kmrs hrdbtmj #) ; mXc
_e nmve mc equmtbhc lhr m sequecae tnmt snhws tne Emrtn strmffjef detweec \ecus mcfKmrs. \ecus bs m lmbjef Emrtn. Kmrs prhkbses th de Cew Emrtn.
Vne Kmrs hrdbtmj cukder bs 6. Bl we wmct th `chw wnmt pjmcet bc tne shjmr systek nhjfs
tne `ey th tne suaaess hl Emrtn, hr th tne suaaess hl nukmcs, we jet c ;1 sbcae tne Emrtn bstne tnbrf pjmcet hut lrhk tne Quc, bc tne equmtbhc mcf tne resujt bs mXc ; =?.<. Vnbs kemcs
tne pjmcet tnmt nhjfs tne `ey bs Ceptuce. Bt nms m kmss hl =?.41 emrtn kmsses, m cukder
very ajhse th hur =?.<.
Cht hcjy bs Ceptuce tne bcfbamtef pjmcet, we lbcf bt nms cemrjy tne smke surlmae ormvbty ms
emrtn mcf cemrjy tne smke bcajbcmtbhc th bts hrdbt ms emrtn. Vnhuon bt bs kuan khrekmssbve tnmc emrtn, bt bs kuan jmroer mcf tnerelhre jess fecse. Vnmt wms wny bt ahkes hut
th nmve tne smke surlmae ormvbty.
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Vne Urmcus Equmtbhc
B ms`ef wnmt ceefs th de fhce th shjve Ky Ceptuce Equmtbhc, dy ohbco feep wbtn tne
oubtmr bc Qhjem Whr Dujerms. B lhucf tne mcswer wms tnmt B fbfc‒t nmve echuon
bclhrkmtbhc th shjve bt.
Vnec B remjbzef B ahujf aremte tne ahkpjekect hl tne Ceptuce equmtbhc dy jhh`bco mt tne
Rmco hl 5/1, sbcae tne Ceptuce equmtbhc amke lrhk tne Rbc hl 2/5.
_e use tne smke ketnhf ms lhr tne Ceptuce equmtbhc9
Qtmrt wbtn > mcf mff 5 th eman mffbtbhcmj terk (we tnrhw m twbst dy cht stmrtbco wbtn 5)
5/1 ;3 >, =1, =>, 41,…
Jbst tne cukders tnmt mre wnhje cukder kujtbpjes hl 5/19
5/1c ; =.?, 1.1, 5, <.?,…
Qudtrmat respeatbve terks bc tne seahcf sequecae lrhk tnhse bc tne lbrst9
<.1, 2.?, =1, =<.1,…
Vnbs bs mc mrbtnketba sequecae wbtn ahkkhc fbllerecae 1.1. Bt amc de wrbttec9
(mXc) ; 1 + 1.1c
Vnbs amc de wrtttec9
Emrtn Hrdbtmj # + (Iupbter Kmss/Qmturc Kmss)c ; mXc
Jettbco c ; 1 we lbcf mXc ; =1
Vne ajhsest th tnbs bs tne kmss hl Urmcus, wnban bs =6.56 emrtn kmsses. Bl Ceptuce bs tne
Rbc pjmcet, tnec Urmcus bs tne Rmco pjmcet. Vnbs bs bcterestbco deamuse B nmf lhucf tnmt
Urmcus mcf Ceptuce were fbllerect kmcblestmtbhcs hl tne smke tnbco. B nmf wrbttec9
B amjaujmte tnmt tnhuon Ceptuce bs khre kmssbve tnmc Urmcus, bts vhjuke bs jess suan tnmt
tnebr prhfuats mre ajhse th equbvmject. Bc kmtn9
CXv ; vhjuke hl CeptuceCXk ; kmss hl Ceptuce
UXv ; vhjuke hl Urmcus
UXk ; kmss hl Urmcus
(CXv)(CXk) ; (UXv)(UXk)
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Vne Ucblbamtbhc Hl Wb mcf Wnb dy Cbce-Lbltns
Mjj tnmt bs jelt th fh bs th ahcsbfer pb, tne abrauklerecae hl m abraje th bts fbmketer, mcf
pnb, tne ohjfec rmtbh, sbcae tney mre twh khst bkphrtmct, bl cht khst demutbluj rmtbhs bc
kmtnekmtbas.
B nmve lhucf cbce-lbltns haaurs tnrhuonhut cmture bc tne rhtmtbhc hl petmjs mrhucf m
m ljhwer lhr m khst phpujmr mrrmcoekect, bc tne hrdbts hl iupbter th smturc bc tnebr
ajhsest mpprhmanes th tne suc, bc tne rmtbh hl tne khjmr kmsses hl ohjf th sbjver, mcf
bc tne rmtbh hl tne shjmr rmfbus th tne jucmr hrdbt. B chw lurtner oh hc th smy tnmt tnbs
cbce-lbltns ucblbes tne twh khst bkphrtmct rmtbhs bc kmtnekmtbas pb mcf tne ohjfec
rmtbh (pnb), bc tnmt
pb + pnb ; 1.=6= + =.<=> ; 6.?52
Deamuse tne cukders mlter tne feabkmj bc tne suk (tne bkphrtmct pmrt) mre 5 mcf 2
mcf ?, tne mvermoe hl 5 mcf cbce.
B snhujf mjsh jb`e th phbct hut tnmt tne lhurtn mcf lbltn cukders mlter tne feabkmj bcpb mre 5 mcf 2 mcf bc pnb tne tnbrf mcf lhurtn cukders mlter tne feabkmj mre hce mcfebont wnere cbce-lbltns fbvbfef hut bs hce phbct ebont, mcf, lurtner, tne lbrst mcfseahcf cukders mlter tne feabkmj bc pnb mff up th km`e ?, tne mvermoe hl 2 mcf 5,mcf sudtrmat th km`e lbve, mcf tne seahcf mcf tnbrf fbobts mlter tne feabkmj mff upth cbce. Qh cht hcjy fhes tne shjmr systek ucbly pb mcf pnb tnrhuon cbce-lbltns, pb
mcf pnb tm`ec mjhce express cbce-lbltns bc tne dest phssbdje wmys.
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4<
Qukkmry Mdhut Cbce-Lbltns
Bc Qukkmry, tnbs khst demutbluj ahcstmct bc Cmture, hl cbce-lbltns, wnban ucblbes pb mcf
tne ohjfec rmtbh, tne twh khst demutbluj rmtbhs bc kmtnekmtbas, bs tne khst phpujmr
mrrmcoekect hl petmjs mrhucf m ljhwer, mcf bs bc tne rmtbh hl tne khjmr kmsses hl ohjf th
sbjver, tne khst preabhus hl tne ketmjs. Hce ahujf hcjy ouess tnmt suan whujf dechtbaemdje tnrhuonhut tne ucbverse mcf whujf de chtbaef dy htner bctejjboect jble bc tne
ucbverse, mcf, ms suan tne rejmtbhcsnbp whujf de bfemj lhr trmcskbssbhc hl m kessmoe dy
htner bctejjboect jble lhrks bc tne ucbverse th smy th tne reaebver9 ‚B mk nere mcf nmve
chtbaef bt‛. Vne aurbhus tnbco bs tnmt bt exbsts bc hur shjmr systek bc tne rmtbh hl tne hrdbt hl Qmturc mt bts ajhsest mpprhman th tne suc ahkpmref th tne hrdbt hl Iupbter mt bts ajhsest
mpprhman th tne suc, kystbamjjy puttbco tne Emrtn mt hce ucbt lrhk tne Quc (Iupbter mcf
Qmturc debco tne jmroest mcf khst kmssbve bc tne shjmr systek, tne Emrtn tnmt pjmcet wnbannmrdhrs bctejjboect jble bc tne Qhjmr Qystek), mcf bc tne rmtbh hl tne Quc‒s rmfbus th tne
hrdbtmj rmfbus hl tne khhc (khhc-emrtn sepmrmtbhc). Vne questbhc bs wny fhes tnbs
rejmtbhcsnbp lhr pb mcf tne ohjfec rmtbh hl cbce-lbltns cht iust exbst tnrhuonhut tne
Ucbverse bc ohjf, sbjver, mcf pernmps ljhwer petmj mrrmcoekects, dut khre jhamjjy bc hurshjmr systek8 Fhes bt kemc nukmcs nmve shke `bcf hl fbvbce speabmjcess bc tne ahskhs8
_nbje we amc `chw tnmt tne cbce-lbltns pnechkechc whujf de represectef dy ohjf mcf
sbjver tnrhuonhut tne ucbverse, we aurrectjy amccht `chw wnetner tne bcnmdbtmcts hl htner
stmr systeks nmve bt bc tnebr suc (stmr) tney hrdbt mcf m khhc tnmt kbont hrdbt tnebr pjmcethr bc tne rmtbh hl tne hrdbts hl tne jmroest pjmcets bc tnebr stmr systek puttbco tnebr pjmcet mt
hce ucbt lrhk tnebr stmr. Vne mcswer th tnbs ecbokm, B tnbc`, kust de hl extrmhrfbcmry
prhlucfbty.
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(pb) mcf (e)
B nmve tmj`ef mdhut nhw 2/5, wnban B nmve lhucf exbsts bc Cmture mcf tne Ucbverse,
ucblbes pb mcf tne ohjfec rmtbh (pnb)9
(pb) + (pnb) ; 1.=6= + =.<=> ; 6.?52
deamuse tne lbrst tnree cukders mlter tne feabkmj mre ?, 5 mcf 2. Qevec bs tne mvermoe hl
cbce mcf lbve, mcf tne seahcf cukder bs hur 5 bc cbce-lbltns mcf tne tnbrf cukder bs tne 2
bc cbce-lbltns.
Bt whujf seek 2/5 ucblbes eujer‒s cukder, e, mcf pb, ms wejj9
(pb) + (e) ; 1.=6= + 4.?=> ; 5.>52
Vne seahcf cukder mlter tne feabkmj bs tne 5 bc cbce-lbltns, mcf tne tnbrf cukder mlter tne
feabkmj bs tne 2 bc cbce-lbltns. Vne lbrst cukder mlter tne feabkmj bs ebont. Vnbs bssbocblbamct deamuse tne > bs tne > bc =.>, wnban bs 2/5 fbvbfef hut. Vne hce wbjj tm`e yhumjj tne wmy mrhucf m abraje, wnmt bs jelt bs 7.>.
Bmc Demrfsjey
Imcumry =?, 47=1
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4>
B nmve chw fbsahveref tnmt Kmcuej wms bc Ecojmcf lhr khre tnmc hce remshc. Ne wms th
keet wbtn m Lrecankmc wnh wms m represectmtbve lhr tne Duremu Hl _ebonts McfKemsures hc m kbssbhc th anmcoe tne ketnhf hl felbcbco tnmt fbstmcae amjjef tne
`bjhketer.
Mppmrectjy bt nmf shketnbco th fh wbtn nbs nhse ahjjeatbhc cukderbco lblteec nhses mcfnbs leejbco tnmt Ohf wms mc bfem hl wnban tnere mre twh ejekects. Bt whujf seek ne
amrrbef m oremt searet tnmt wms nmcfef fhwc th nbk lrhk nbs mcaesthrs ms tney pmssef
tnrhuon tne whrjf dy lhht mt tbkes, amkej mt htner tbkes, mcf amrmvmc mt htner tbkes
ahkpjetejy uc`chwc, stmrtbco bc Bcfbm mcf ecfbco bc Qpmbc.
Vne Fbllerectbmj Equmtbhc
B tnhuont bt wms remjjy tbke B shjve m fbllerectbmj equmtbhc. B anhse Vne Urmcus Equmtbhc._e chw feterkbce obvec tne maaejermtbhc bc tne Urmcus equmtbhc bs 1.1 emrtn ormvbtbes,tnec wnmt bs tne bcbtbmj vejhabty bc tne equmtbhc, wnban bs tne cukder 18
(v) ; 1 + 1.1t (Vne Urmcus Equmtbhc)
(v);mt;(11/=7)t wnere \ bs vejhabty, m bs maaejermtbhc, mcf t bs tbke.
1;(11/=7)t
(t) ; 17/11
2>7 ak/s/s ; o ; tne surlmae ormvbty hl tne emrtn
(2>7 ak/s/s)(1.1);1,416 ak/s/s
(1,416 ak/s/s)(17/11 s) ; 4,267 ak/s ; vX7 vX7 bs tne bcbtbmj vejhabty
Vnus we amc wrbte tne Urmcus equmtbhc ms9
(v) ; 4,267 ak/s + (1,416 ak/s/s)t
Vnbs bs tne fbllerectbmj equmtbhc9
(fx) ; (4,267 ak/s)ft + (1,416 ak/s/s)t ft
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42
Vne hcjy tnbco we jma` bc shjvbco tnbs bs m tbke lhr wnban we amc ferbve m fbstmcae.
Ajemrjy bl tne Qnmkmc nmf shke searet, bt wms bc tne nhse ahjjeatbhc ne snhwef ke. Hl ahurse, tnec, tne tbke bs =5 seahcfs. Vne resujt bs
(xX7) ; (4,267 ak/s)=5 + ((=/4)(1,416) ak/s/s)=5S4 ; 66,=77 +1<1,>45 ; 67?245 ak
67?245 ak/=77/=777 ; 6.7?245 `k
Chtbae tne cukders mlter tne feabkmj mre ?245. Vne sevec bs tne mvermoe hl tne cbce mcf
tne lbve, mcf tne cbce mcf lbve km`e up tne kysterbhus cbce-lbltns. 4 bs tne twh ejekectstnmt mre tne bfem tnmt bs Ohf. Bt bs tne ybc mcf tne ymco hl cbce-lbltns mcf lbve-tnbrfs. Dut
khre bcarefbdjy tne vmjue bs mjkhst perleatjy lhur `bjhketers. Vnus Kmcuej wect th
Ecojmcf bc ky dejbel cht iust th specf tbke wbtn tne mweshke Qnebjm Anmcfrm, dut th oet
Vne Duremu hl _ebonts mcf Kemsures th felbce tne jecotn hl m `bjhketer ms9
(=/6) (Bcteormj P(4,267 ak/s)ft + (1,416 ak/s/s) t ft[ kbcus 7.7?245)
Mjj tnmt fbvbfef dy =77, tnec dy =777.
Vnmt relers th tne bcteormj
=77 bs =77 ak/k
=777 bs =777 k/`k
Vnmt bcteormj evmjumtef lrhk 7 th =5 seahcfs.
Nhw ahujf ne nmve `chwc sh kuan mdhut tne Ucbverse mcf ahcceatef bt th tne `bjhketer,wnec Vne Ketrba Ahkkbttee bc khferc tbkes felbcef tne `bjhketer ms hce tectnhusmcftn hl tne fbstmcae lrhk tne Chrtn Whje th Vne Equmthr8
Kmurbae Anmtejmbc, wnh wms tne fbreathr hl fevejhpbco tne ahkkucbamtbhcs systek lhrtne CMQM Mphjjh Kbssbhcs, kmy nmve tne mcswer bc nbs dhh` ‚Hur Ahskba Mcaesthrs‛.Bt kmy de tnmt bt wms evec `chwc jhcoer moh tnmc tnmt fmy Kmcuej‒s mcaesthrs jelt Bcfbm.Anmtejmbc wrbtes9
‚Vnbs bs wnere ky bcterest deamke remjjy mrhusef mcf ky whr` deamke exabtbco…Mjjucbts hl kemsure bc tne fbstmct pmst hl hur abvbjbzmtbhc nmf tne smke dmsba systek bc tnebrlhucfmtbhcs ‑ mjj were feterkbcef lrhk tne exmat fbkecsbhcs hl hur pjmcet Emrtn. Msbcarefbdje ms tnbs kmy shucf th tne ucbcbtbmtef, hur mcaesthrs ferbvef tnebr leet mcf bcaneslrhk tne jecotn hl feoree hl jmtbtufe hr jhcobtufe…. Nhw ahke tnec tnmt hur lhrelmtnersdma` bc tne Qthce Moe nmf vmjues sh exmat, wnban we hursejves were hcjy mdje th hdtmbcmlter 6 Hathder, =25?, wnec tne Qhvbet smtejjbte Qputcb` stmrtef th trmae mcf kemsure tne
lbrst hrdbts mrhucf tne ojhde8… _e tnec hdtmbcef tne exmat kemsurekects dy hdservbcotne brreoujmrbtbes bc tne hrdbts hl tne lbrst mrtblbabmj smtejjbtes bc hrfer th amjaujmte tne truesnmpe mcf fbkecsbhcs hr hur ojhde.‛
Anmtejmbc suooests extrmterrestrbmjs, kemsuref tne emrtn dy hrdbtbco bt bc tne smke wmy mcf
omve hur ucbts hl kemsurekect th hur pmst, fbstmct mcaesthrs, <5,777 yemrs moh. Vne
mcaesthrs hl Kmcuej, `cew tnbs mt jemst m tnhusmcf yemrs moh, mcf ahcceatef bt, lurtner, th
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‚Vne Ahskhs‛. Vne wbcf djhws bc mc ecfjess sem hl smcf. Tbfbco hc bt bs m vhbae
drem`bco up mcf fbsmppemrbco bcth tne mbr9 ‚Jm tbjm, Oumfmamjb‛.
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1=
M Qeahcf Jhh` Mt Vne Urmcus Bcteormj
Urmcus Bcteormj Lrhk 7 Vh =5 Qeahcfs
(4,267ak /s)ft + (1,416ak /s /s)7
=5
" tft 7
=5
" ; 6.7?245`k
_nban amc de wrbttec bc `bjhketers9
6+(2+5)/4(=77) + 2/=777 + 4/(=7,777) + 5/=77,777
; 6+(7.7?)+(7.772)+(7.7774)+(7.77775)
_e amc mjsh wrbte9
6 `k + ?7 k + 2 k + 7.4 k + 7.75 k ; 6 `k + ?2.45 k
Hr,
6 `k + ?777 ak + 277 ak + 47 ak + 5 ak ; 6 `k + ?,245 ak
Jet‒s ahcvert tne pmrt deyhcf 6 `k th leet9
(?,245 ak)(7.714>7>6 lt/ak) ; 4<7.77<5? leet
Bt bs mjkhst exmatjy 4<7 leet. Bt whujf seek usbco tne Qnmkmc‒s =5 seahcfs bc Vne
Urmcus Bcteormj wmcts th ahcceat tne ketrba systek th leet. Bt bs maaurmte th mdhut sbx mcfm nmjl tnhusmcftns hl m lhht. Bl we ahcsbfer tne hrbobc hl tne ketrba systek debco bc tne
fbkecsbhcs hl tne Emrtn, mcf tne hdsaure hrbobcs hl tne lhht, tnbs bs rmtner rekmr`mdje,espeabmjjy wnec hce ahcsbfers tne hrbobcs hl Vne Urmcus Equmtbhc.
Chw we tm`e tne seahcf jhh`9
(4<7.77<5? lt)(=4 bc/lt) ; 1,=47.7?>>6 bcanes
Bt bs mjkhst 1,=47 bcanes! Jet‒s remrrmcoe tnhse cukders. _e oet9
7, =, 4, 1,...
Bs bt tnmt extrmterrestrbmjs omve us tne bcan, tne lhht, mcf ketrba systek bc mcabect tbkes msKmurbae Anmtejjmbc hl CMQM suooestef bc nbs dhh`, Hur Ahskba Mcaesthrs8 Vnere nms
mjwmys deec m fedmte detweec Eurhpe mcf Mkerbam ms th wnetner Mkerbam snhujf mfhpttne ketrba systek bc everyfmy jble. Mkerbamcs mjremfy use bt bc tne sabecaes. Bs tnere m
remshc lhr tnese fbllerect systeks hl kemsurekect8 _ere tney dhtn kemct th de bc tnmt
tney mre ahcceatef th hce mchtner tnrhuon tne Ucbverse mcf Cmture8
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Vne Qhurae Hl Hce Lhurtn Bc Vne Urmcus Bcteormj
= `k ; =/(=7,777)(=/6)A wnere A ; 4(pb)TXe
A bs tne abrauklerecae hl tne Emrtn mcf TXe bs tne rmfbus hl tne Emrtn.
TXe ;<,1?> `k
_e amc smy9
6 `k ; (=/=7,777)A
Urmcus Bcteormj (=/6) (Bcteormj P(4,267 ak/s)ft + (1,416 ak/s/s) t ft[ kbcus 7.7?245)
Mjj tnmt fbvbfef dy =77, tnec dy =777.
Vnmt relers th tne bcteormj
=77 bs =77 ak/k=777 bs =777 k/`k
Vnmt bcteormj evmjumtef lrhk 7 th =5 seahcfs.
_e mjsh amjj tne lhjjhwbco Vne Urmcus Bcteormj9
(4,267ak /s)ft + (1,416ak /s /s)7
=5
" tft 7
=5
" ; 6.7?245`k
Vne lmathr hl hce lhurtn ecters deamuse tne `bjhketer bs felbcef dy tne fbstmcae lrhk tnetne phje th tne equmthr, cht tne abrauklerecae hl tne Emrtn.
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11
Mombc, we lhucf 2/5 reaurrect bc tne Ucbverse mcf Cmture.
Vne Oypsy Qnmkmc nms bcfbamtef tnmt =5 bs mt tne nemrt hl
kmtters. _e usef 2,5, mcf =5 th ahcstruat tne lhjjhwbco
qumfrmtba9
Vne mrem hl m reatmcoje bs =5. Vne jecotn, j, bs 2 khre tnmc tne
wbftn kujtbpjbef dy 59
w4+2w " 1 ; 7
w ; 7.14
_e tnec kmfe m qumfrmtba bc tbke9
=5 ;
=
4ot
4
t 4;
17
o
Deamuse hl tne resujt lhr w, we anhse o ; 14 leet/sea/sea ms
hpphsef th tne vmjue bc keters o ; 2.> keters/sea/sea
t 4 ;
17 lt
14 lt /sea/sea
t ; 7.2<>sea
_e chte tnmt =-7.2<> ;7.714
B lbcf tnmt bcterestbco. Vne Qnmkmc‒s =5 seahcfs fesarbdef
keters bc tne Urmcus Bcteormj mcf tne cukders bc cbce-lbltns
mcf tnebr mvermoe, cht th kectbhc tnere wms tne twh usef th
mvermoe cbce mcf lbve, chw bt bs prhlhucfjy ahcceatef th tne 14
hl emrtn surlmae ormvbty bc leet.
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15
Whucfs Mcf @bjhormks
Emrjy hc bc ky whr`, wnec B lbrst chtbaef cbce-lbltns bc tne shjmr systek mcf cmture, B wms
bctrbouef dy tne lmat tnmt tnere bs cbce-lbltns hl m feoree aectbormfe per every feoree hl
Lmnrecnebt. B nmf trbef th lbcf tne pnysbamj ahcceatbhc ahcaercbco tnbs, mcf jemrcef
Lmnrecnebt wms ahcstruatef sh tnmt lreezbco tekpermture, hr cemr tnere, jbtermjjy tnetekpermture kemsuref dy m tnerkhketer bc m kbxture hl smjt mcf bae, pernmps shke wmter,
wms th de tm`ec ms 14 feorees mcf tne upper jbkbt wms feterkbcef dy tne nukmc dhfy
tekpermture ms kemsuref dy m tnerkhketer bc mc mrkpbt th de m vmjue mrhucf 2? hr 2>.
_ny tnese vmjues were anhsec B ahujf cht lbcf mcy remshc lhr tnmt wms fhaukectef. B fbfphst tnbs sthry th shke `bcf hl m fbsaussbhc orhup. Jmter B nmf phstef ky fbsahvery hl
cbce-lbltns th tne Ihsepn Amkpdejj fbsaussbhc lhruk mcf shkehce tnere smbf cbce-lbltns
wms bc tne equmtbhc tnmt ahcverts aectbormfe th Lmnrecnebt. B cever tmj`ef mdhut ky
emrjber whr` bc tnmt mrem, iust smbf, yes tnere bs cbce-lbltns feoree aectbormfe per everyfeoree hl Lmnrecnebt. Ne `ept smybco yhu nmve th mff tnbrty-twh. B ahujf cht ahcvbcae
nbk wnmt B wms smybco wms true. Mffbco tne tnbrty-twh bs th zerh tne rejmtbhcsnbp sh hce
amc ahcvert aectbormfe th Lmnrecnebt. Vnmt bs tnebr samjes mre fbllerect9 Aejsbus deobcs mt7 feorees bs lreezbco mcf Lmnrecnebt deobcs mt 14 bs lreezbco tekpermture. Vnmt fhes chtanmcoe tne lmat tnmt tnere bs cbce-lbltns feoree aectbormfe per every feoree hl Lmnrecnebt.
Ne wms presectbco tne lhrkujm tnmt ahcverts hce tekpermture th tne htner.
Vh tne kmtter mt nmcf9 Vne Oypsy Qnmkmc‒s =5 seeks th reahcabje ketrba fbstmcaes wbtnleet, dhtn systeks use tne seahcf th kemsure tbke. Vne Urmcus bcteormj bs ferbvef lrhk
cbce-lbltns, wnban we see ucblbes tne ketrba kemsurekect hl tekpermture wbtn tnmt hl tne
lhht-phucfs Lmnrecnebt. Vnmt hcjy jemves us ceefbco th lbcf tne ahcceatbhc detweec tneketrba systek‒s ormks mcf `bjhormks wbtn tne phucf, sh we nmve femjt wbtn tne kmtter
wnere kmss mcf webont mre ahcaercef. M ormk bs cbaejy felbcef ms tne mkhuct hl wmter
bc m audba aectbketer. Mjj B amc smy, mt tnbs phbct, bs tnmt hce phucf bs 651.52 ormks, mcftnmt km`es bt exmatjy 7.52 ormks lrhk m wnhje cukder. Bt nms shketnbco th fh wbtn cbce-lbltns8
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1<
Oettbco M Qecse Hl Vne Urmcus Equmtbhc
Vnus we amc wrbte tne Urmcus equmtbhc ms9
(v) ; 4,267 ak/s + (1,416 ak/s/s)t
Vnbs bs tne fbllerectbmj equmtbhc9
(fx) ; (4,267 ak/s)ft + (1,416 ak/s/s)t ft
Urmcus Bcteormj Lrhk 7 Vh =5 Qeahcfs
(4,267ak /s)ft + (1,416ak /s /s)7
=5
" tft 7
=5
" ; 6.7?245`k
Bkkefbmtejy we wrbte9
6.7?246 `k/=5 seahcfs ;7.4?=25 `k/s ;7.=<>2> kbjes/seahcf ;2?2.74 `k/nhur;<7>.14> kbjes/nhur
Kman = ; ?<> kpn ;=,415 `k/nhur
<7>.14>/?<> ; 7.?2472 ~ 7.>2?2.74/=,415 ; 7.?24? ~ 7.>
Vne Urmcus Bcteormj ybejfs m speef ajhse th kman = bc fry mbr mt 47 feorees A (<> feorees
L) mt sem jevej, dut sudshcba. Bt bs kman 7.> wnec tne snmkmc‒s =5 seahcfs mre mppjbef.
Bl we wrbte, wnere =.415 `k/nr (kman =) ; 7.161 `k/s, tnec916,177 ak/s ;4,267 ak/s + (1416 ak/s/s)t
mcft;2.<2<2<2<2? seahcfs ; 2 41/11 s ; 147/11 seahcfs ~ 2.? seahcfs
Qh, tne Urmcus equmtbhc bs m tbke hl 2.? seahcfs th reman kman =. Wuttbco tnmt tbke bc tnebcteormj9
^ ; (4,267)(147/11) + =/4(1416(147/11)S4 ; =>7,55? ak =.>755? `k ~ =.>`k
Vnus bc tne Urmcus Equmtbhc we reman kman hce bc mdhut 2.? seahcfs mlter trmvejbco m
fbstmcae hl mdhut =.> `bjhketers. Jet‒s ahcvert tnmt th kbjes9
(=.>`k)(7.<4=1?=kb/`k);=.==>6?> kbjes
Hcae mombc we see cbce-lbltns ucblybco tne lhht-phucf systek th tne ketrba systek bc tnmt
=.> bs cbce-lbltns mcf m kbje bs mdhut =.> `bjhketers. Vnmt bs bl we tnbc` hl tne kbje ms pmrt
hl tne lhht-phucf systek.
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1?
Vne Urmcus Bcteormj Bs Bctrboubco
Vne Urmcus Bcteormj remanes kman hce bc =.> `bjhketers, wnban bs tne mkhuct hl
`bjhketers bc m kbje mcf bs tne 2/5 tnmt haaurs bc Cmture mcf tne Ucbverse, cht th kectbhc
tnmt ucblbes pb mcf ohjfec rmtbh mcf pb mcf Eujer‒s cukder e. _e nmve mjremfy snhwc
nhw tne Urmcus Bcteormj fesarbdes, `bjhketers, cbce-lbltns mcf leet mcf bcanes, wnecevmjumtef mt tne Oypsy Qnmkmc‒s Kysterbhus =5 bc tne lhrk hl =5 seahcfs. Lblteec bs tne
feorees tne Emrtn rhtmtes tnrhuon bc mc nhur. _e nmve snhwc nhw cbce-lbltns ucblbes
ormks mcf phucfs mcf aectbormfe mcf lmnrecnebt.
Vnus, cht hcjy fhes tne Urmcus Bcteormj fesarbde `bjhketers, bt fesarbdes kbjes.
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1>
Mc Mcabect Kessmoe Lrhk Extrmterrestrbmjs8 (\hjts Mcf Eros)
Ky dhh` M Vnhrhuon Fbkecsbhcmj Mcmjysbs bs mdhut nhw B prhvbfeevbfecae bc supphrt hl tne bfem tnmt extrmterrestrbmjs omve us hur ucbts hl kemsurekect, jb`e tne lhht, tne keter, tne seahcf, bc Mcabect tbkes fespbte
tne nbsthry tnmt tejjs us tne ketrba systek bs khferc, mcf tne lhht-phucfsystek, pernmps m jbttje mkdbouhus bc bts nbsthry. B tnbc` mjhco tne wmy bcfhbco tnbs B kmy nmve lhucf mc ecaryptef kessmoe lrhk extrmterrestrbmjs bctne cukder9
4.7444==77>
Bcshlmr ms bt amke th us lrhk cmturmj ahcstmcts jb`e tne anmroe hl mc ejeatrhc,tne hrdbtmj perbhf hl tne Emrtn, mcf cukders we bcvectef jb`e tne kemsure hl ejeatrhkhtbve phtectbmj, tne vhjt. Vne bfem bs tnmt extrmterrestrbmjs shkenhwthjf us th kemsure ejeatrhkhtbve phtectbmj wbtn m ucbt hl vhjts deamuse bt
whujf prhfuae tne mdhve cukder. B mk bcterestef bc bt deamuse hl tnerepetbtbhc hl hces mcf twhs, mcf tne sepmrmtbhc hl cukders dy zerhs.
Jet us jhh` mt tne pmrt mlter tne feabkmj. Bt bs9
7444==77>
Bt bs tne seahcf cukder tnree tbkes, tne lbrst cukder twh tbkes mcf tne jmst
cukder bs tne cukder hl fbobts tnmt preaefe bt.
Vne tnree twhs mcf tne twh hces mff up th tne jmst fbobt, ebont.
Vne twh hces mff up th eman hl tne tnree twhs.
Cever nmve B fbvbfef hut fmtm ahcaercbco tne shjmr systek mcf cmturmjahcstmcts mcf oht m cukder sh strmcoe. Usumjjy B oet stull jb`e
=.14<556>?Hr
=.<<<<<<?
Mcf
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12
1.=6=
Hr
=.<=>
Bl mcyhce nms mc bfem ms th nhw th fearypt bt, pjemse jet ke `chw (B tnbc` tnelbrst mpprhman whujf de th jhh` bcth dbcmry, hr mcy rejmtef ahcaept). Ky lbrstmpprhman bs tnmt bt bs shke `bcf hl dbcmry ahfbco hr htner ahfbco lhr m abraubt.Lbcf tne abraubt mcf jhh` mt wnmt bt fhes, th see wnmt tney whujf de trybco thtejj us. Nere bs nhw bt wms ferbvef9
M fbhfe bs kmfe hl sbjbahc (smcf) fhpef wbtn pnhspnhrhus mcf dhrhc, mjj
cmturmjjy haaurrbco ejekects kmfe (lhroef) bc bcterbhr hl stmrs. M sbjbahc
fbhfe ceefs 7.< vhjts th ahcfuat m aurrect. Bc m fbhfe omte m nbon vhjtmoe bs
sbx vhjts mcf tne abraubt bs hc mcf m jhw vhjtmoe, hr orhucf (zerh), tne abraubt
bs hll. Hll bs ahfbco lhr zerh mcf hc bs ahfbco lhr =. Yerhs mcf hces amc de
struco thoetner th km`e cukders, mcf jetters bc tne mjpnmdet.
Kmcuej, tne Oypsy Qnmkmc, smbf9 ‚Ohf bs mc Bfem, Vnere mre twh ejekects.‛
_e amc tm`e tnbs th de hur Rbc mcf Rmco hl 2/5 mcf 5/1. Jhw vhjtmoe mcf
tne abraubt bs hll0 nbon vhjtmoe mcf tne abraubt bs hc. Vnese, mombc, mre tne twh
ejekects hl tne Qnmkmc‒s ybc mcf ymco.
Deamuse yhu nmve th ruc m fbhfe mt jemst 7.< vhjts, tnbs bs sudtrmatef lrhk tne
sbx vhjts tnmt turc tne fbhfe hc, sh remjjy bt hpermtes hc sjbontjy jess tnmc sbxvhjts. Vnbs vhjtmoe frhp hl 7.< \hjts bc tne abraubt bs wnmt we wmct th jhh`
mt. _e wbjj evmjumte tne vhjtmoe frhp hver tne Qnmkmc‒s kysterbhus =5
seahcfs mcf hdtmbc mc mkhuct hl phwer, tnec mppjy tnmt phwer hver hce yemr
‑ tne tbke bt tm`es tne emrtn th oh mrhucf tne Quc. _e nmve mjremfy lhucf
tnmt tne Qnmkmc‒s =5 cht hcjy ucblbes keters wbtn tne ucbverse, dut keters
wbtn leet, mkmzbcojy bc tne Urmcus Bcteormj hutjbcef dhtn bc Vne Expjhbts Hl
Kmcuej mcf Lurtner Expjhbts Hl Kmcuej.
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67
Chw we fh tne amjaujmtbhc9
Hce vhjt bs tne eceroy hl mc ejeatrhc lmjjbco tnrhuon m phtectbmj fbllerecae hl hce vhjt, wnban bs equmj th =.<74E-=2 Ihujes.
Hce Ihuje bs =7,777,777 eros
(7.< \hjts)(=.<74E-=2 Ihujes) ; 2.<=4E-47 Ihujes
(2.<=4E-47 Ihujes)(=7,777,777 eros/Ihuje) ; 2.<=4E-=1 eros
(2.<=4E-=1eros)/(=5 seahcfs) ; <.67>E-=6 eros/seahcf
1<5.45 * 46 * <7 * <7 ; 1=,55?,<77 seahcfs/yemr
(<.67>E-=6 eros/sea)(1=,55?,<77 seahcfs) ; 4.7444==77> kbarheros ; 4.7
kbarheros
Bt bs mjkhst exmatjy twh kbarheros! (Bs tne twh kbarheros prhkptbco tnmt wefeahfe tne kessmoe bc dbcmry8)
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6=
Feahfbco Vne Kessmoe
Vne kessmoe bs9
7444==77>
Vne 444 mffs up th sbx, wnban bc dbcmry bs ==7. Vne cext seokectbs ==77, wnban bs m cbddje, mcf bs tne cukder =4. Vnbs seokect bsbc dbcmry th deobc wbtn. Vne jmst fbobt bs mc ebont, wnban bs =777 bcdbcmry. Vnus we nmve, bcajufbco tne lbrst fbobt, m zerh, wnban bs mdbt9
(7) (==7) (==77) (=777)
_e wrbte tnbs ms tnree cbddjes9
(7==7) (==77) (=777)
Vnus 7444==77> trmcsjmtes ms 7==7 ==77 =777
_nban mre tne tnree cukders9
<, =4, >
Vnese tnree cukders fbvbfe cbaejy bcth tne 1<7 feorees hl m abraje9
1<7/=4 ; 17 1<7/< ; <7 1<7/> ; 65
Vnese mre tne mcojes bc tne tnree speabmj trbmcojes wbtn wnban weamc wrbte hut tne trbohchketrba lucatbhcs hl bkphrtmct mcojes bcajhsef lhrk9
17-<7-27 <7-<7-<7 65-65-27
<, =4, > nmve tne ahkkhc fechkbcmthr hl twh. Vnbs obves us tnetnree cukders 1, <, 69
1<6
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_nban bs very ajhse th tne cukder hl Emrtn fmys bc m yemr (1<5).Mre extrmterrestrbmjs phbctbco hut tnmt tne cukder hl Emrtn fmys bc myemr mre ajhsejy ahcceatef th tne tnree speabmj trbmcojes8
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_e chw ahcceatef tne lbrst lhur phbcts hl tne Ceptuce equmtbhc mcf bcteormtef lrhk hce
th lhur, tne equmtbhc9
L(x) ; ?.4x ‑6
Vne bccer terrestrbmj pjmcets.
_e thh` tne ferbvmtbve hl tne Urmcus equmtbhc9
L(x) ; 1 + 1.1x
Qh tnmt
L‒(x) ; 1.1
_e ahcsbferef tne bcteormj tne kmss hl m pjmcet bc emrtn kmsses, wnban amke hut th de 64.
_e ahcsbferef tne 1.1 th de tne maaejermtbhc mt bts surlmae bc emrtn ormvbtbes. @chwbcotnese twh qumctbtbes we feterkbcef tne pjmcet wms mdhut tnree mcf m nmjl tbkes jmroer tnmctne Emrtn. @chwbco bts kmss mcf sbze, we ahujf feterkbce bts fecsbty, mcf lrhk tnmt bts
ahkphsbtbhc, wnban turcef hut th de Eurhpbuk, ejekect <1, wnban bs pnhspnhresaect.
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6?
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Bt bs bcterestbco tnmt tne nyphtnetbamj pjmcet whujf de ahkphsef hl
Eurhpbuk bl we exajufe tne fbmthkba ejekects jb`e bhfbce, wnban
bs hcjy ajhser bc fecsbty dy m tnhusmcftn hl m ormk per audba
aectbketer bc fecsbty. Vne ejekect bs cmkef lhr
Eurhpe, mcf tnbs fbsahvery deomc wbtn ky remjbzmtbhc tnmt cbce-lbltns wms bc tne ucbverse, wnban jemf th tne fbsahvery tnmt bt
ucblbef pb mcf pnb, tnmt bt wms tne ybc lhr wnban tne ymco wms lbve-
tnbrfs, mcf tnmt cbce-lbltns wms bc tne prhphrtbhcs hl tne khchjbtn
hl Mrtnur A. Ajmr`e's mcf Qtmcjey @udrba`'s 477=9 M Qpmae
Hfyssey lhr wnban Iupbter deamke m stmr lhr tne khhc Eurhpm,
wnere jble whujf deobc hc mchtner whrjf bc hur shjmr systek. Bt bs
mc ectmcojekect hl m shrt. Temf, Lbatbhc-Temjbty Ectmcojekect9
Jevbcshc, Msbkhv, Mcf Ajmr`e dy hpecbco tne pudjbamtbhc bc tnbsphst. Vne prhphrtbhcs hl tne khchjbtn mre = dy 6 dy 2, = + 6 ; 5.
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Ahcceatbco Eurhpbuk Mcf Eurhpbm _btn Eurhpm
_e ahkpmre tne khjmr kmss hl Eurhpbuk th tnmt hl Qbjbahc9
Eu/Qb ;=5=.2?/4>.72 ; 5.6
_nban bs Iupbter‒s lurtnest fbstmcae lrhk tne Quc bc bts hrdbt mrhucf tne Quc bc Emrtn-Quc
sepmrmtbhcs, mcf, bs tne kmss hl Qmturc ahkpmref th tne kmss hl Ceptuce. Bt bs mjsh tne
tnbrf terk bc tne sequecae =.>c, lrhk wnban tne Ceptuce Equmtbhc bs ferbvef. Lurtner,
tnbs bs bkphrtmct deamuse tne Emrtn bs tne tnbrf pjmcet lrhk tne Quc mcf =.> bs cbce-lbltns,hur ybc hl tne Ucbverse.
B feabfef th ahkpmre Eurhpbuk (Eu) th Qbjbahc (Qb), deamuse Eurhpbm bs ahcceatef th
Eurhpm, tne khhc mrhucf Iupbter wnere m cew jble deobcs bc tne khvbe 477=9 M QpmaeHfyssey. Qb bs bc tne smke orhup ms amrdhc, tne lbrst hce mlter bt. Jble bs dmsef hc amrdhc,
mcf bt whujf lhjjhw tnmt cew jble whujf de dmsef hc sbjbahc.
Bmc Demrfsjey, Hat 46, 47=4
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5=
Eurhpbm Mcf Eurhpm Mcf Vne Bkphrtmcae Hl Vne Qnmkmc‒s =5
Bt bs mpprhprbmte tnmt Eurhpbm bs ahcceatef th Eurhpm, tne seahcf Omjbjemc Khhc lrhk
Iupbter, cht iust dy cmke, dut bc sh lmr ms bts ahcceatbhc th Qbjbahc bc Vne Ceptuce
Equmtbhc. Bt whr`s hut oremt, deamuse bt bs tne pjmae bc tne Qhjmr Qystek tnmt bs tne dest
amcfbfmte lhr jble deyhcf Emrtn9 Bt nms m tecuhus mtkhspnere ahkphsef prbkmrbjy hl hxyoec mcf bs ahveref wbtn wmter bae, tnmt kmy nmve wmter bc bts jbqubf lhrk decemtn bts
surlmae.
Vne khhc bs tne rbont sbze suan tnmt ms seec lrhk tne Emrtn bs mppemrs mdhut tne smke sbzems tne Quc. Nhw lmr whujf Eurhpm nmve th de lrhk Iupbter th mppemr tne smke sbze ms tne
suc fhes lrhk Iupbter.
Qhjmr Tmfbus/Eurhpm Tmfbus ; Iupbter-Quc Qepmrmtbhc/x
<25,227 `k/=,5<7.> `k ; ??>,577,777 `k/x
66< ; ??>,577,777 `k/x
x ; =,?65,5=5.<25 `k
=,?65,5=5.<25/=,5<7 ; =,==2 ~ (=,=77 rhucfbco th cemrest =77)
Eurhpm kust de mdhut hce tnhusmcf mcf hce nucfref tbkes lurtner lrhk Iupbter tnmc bt bs
bc rmfbb, th see bt, lrhk Iupbter tne smke sbze ms tne Quc. Vnbs bs msthcbsnbcojy ajhse th mperleat kujtbpje hl =77 wbtn ==. _e wbjj tm`e tnbs th kemc we mre hc tne rbont trma`
thwmrfs shjvbco tne kystery hl hur nyphtnetbamj pjmcet, Eurhpbm. _e wbjj wrbte tne =77
tbkes ==, ms9
(4)(5)(=7)(==)
_e nmve smbf tnmt ybc bs 2/5 mcf ymco 5/1. _e sudtrmat tne twh th oet 4/=5. _e mff tne 5
bc tne mdhve prhfuat th tne tec bc tne mdhve prhfuat th oet =5. _e fbvbfe tnmt bcth tnetwh bc tne mdhve prhfuat, mcf cht hcjy fh we nmve hur 4/=5, dut ejevec bs jelt. _e fh tne
khst hdvbhus tnbco, mcf jbst tne pjmcets cht dy hrdbtmj cukder, dut dy prbke cukders9
Keraury (4)\ecus (1)
Emrtn (5)Kmrs (?)
Iupbter (==)
Mcf Iupbter bs tne ejevec bc tne mdhve prhfuat, tne pjmcet we were ahcsbferbco! _e see
we dmsef hur cew pnysbas hc m ahjjeatbhc hl =5 rudder nhses bc m amve bc Qpmbc, mcf we
fbsahveref m oremt kystery.
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Vne Eurhpbuk Qpnere
Nyfrhpsnere9 Vhtmj wmter hc, ucfer, mcf hver tne Emrtn
_b`bpefbm stmtes tnmt tne nyfrhspnere bs =.6E=> Vhcces
(=.6E=> t)(=,777 `o)(=,777 o) ; =.6E46 o
_e ms` nhw kuan Eurhpbuk bs requbref th remat wbtn tne ectbre nyfrhspnere8
Vne rematbhc hl Eurhpbuk wbtn wmter bs9
4Eu + <NX4H -! 4Eu(HN)X1 + 1NX4
Vnmt bs, sbx khjes hl N4H mre requbref lhr every twh khjes hl Eurhpbuk th km`e twh
khjes hl Eurhpbuk Nyfrhxbfe mcf Vnree khjes hl Nyfrhoec oms. B whujf smy tnmt bs
nhw tnmt equmtbhc remfs, tnhuon ky anekbamj chkecajmture bs m jbttje rusty. B whujf smysbcae tne eurhpbuk fbspjmaes tne nyfrhoec, tnmt tnbs bs m sbcoje fbspjmaekect rematbhc. Bmk jbttje rusty hc ky rematbhc ajmssblbamtbhc ms wejj. Teomrfjess, tne equmtbhc ajemrjy
stmtes tnmt hce tnbrf hl tne khjes hl N47 mre tne khjes hl Eurhpbuk requbref lhr tne
rematbhc th tm`e pjmae (4/<; =/1). _e wrbte9
NX4 ; 4(=.7=) ; 4.74 o/khj
H ; =<.77 o/khj
N4H ; 4.74 + =<.77 ; =>.74 o/khj
Dy jhh`bco up tne khjmr kmsses hl tne ejekects bc tne perbhfba tmdje hl tne ejekects.
((= khj N4H)/(=>.74 o N4H))x((=.6E46 o N4H)/(nyfrhspnere))
; ?.>E44 khj N4H/nyfrhspnere
=/1(?.>E44 khj N4H) ; 4.<E44 khj Eu
Eu ; =5=.2? o Eu/ khj
(4.<E44 khj Eu)(=5=.2? o Eu/ khj) ; 1.25E46 o Eu
Vne fecsbty hl Eurhpbuk mt QVW bs 5.461 o/akS1
(akS1/5.461 o)(1.25E46 o) ; ?.51E41 akS1
Bs tne vhjuke hl tne dhfy ahkphsef hl 1.25E46 ormks hl Eurhpbuk. Bl bt bs m spnere,
tnec tne rmfbus hl bt bs9
(6/1)(pb)rS1 ; ?.51E41 akS1
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rS1 ; =.>E41 akS1
r ; 5<,6<4,=<4 ak
(5<,5<4,=<4 ak)/(=77 ak)(=777 k) ; 5<6.<4 `k ~ 5<5 `k
Vne Eurhpbuk Qpnere whujf nmve m rmfbus hl 5<5 `bjhketers. Vnmt hl tne khhc hl
Iupbter amjjef Eurhpm bs9
=,5<< `k
=,5<</5<5 ; 4.??
Vne rmfbus hl tne khhc hrdbtbco tne Emrtn bs9
=,?1> `k
=,?1>/5<5 ; 1.= ~ pb ~ 1
Vne khhc bs mdhut tnree tbkes jmroer tnmc tne Eurhpbuk Qpnere, hr mdhut pb tbkes jmroer.
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Vne Oypsy Oecesbs Wrhieat
Vnere mre tnree wmys bc wnban tne Oypsy Qnmkmc, Kmcuej, ahujf nmve usef nbs nhse
ahjjeatbhc th km`e ke tnbc` mdhut tne cukder =5. Ne ahujf nmve snhwc ke m ahjjeatbhc
hl =6 rudder nhses, lhr wnban B dhuont nbk nbs lblteectn rudder nhse, hr, ne ahujf nmve
snhwef ke m ahjjeatbhc hl =5 rudder nhses lhr wnban B dhuont nbk nbs sbxteectn ruddernhse. Vwh lblteectns turcef hut th de tne fbllerecae detweec tne vmjues B hdtmbcef lhr ybc
mcf ymco. _e `chw twh represects tne pnbjhshpny hl twh bc Vmhbsk, dut pernmps ne
wmctef ke th tnbc` cht iust hl lblteec, dut mjsh dy tne mdhve remshcbco, =6, =5, mcf =<.
Bcterestbcojy, tne anekbamj ejekects Amrdhc, Cbtrhoec, mcf Hxyoec mre tnese tnreeejekects, mcf tne khst bkphrtmct chc-ketmjs bc tne perbhfba tmdje. Amrdhc bs tne dmsbs hl
jble, km`bco hromcba kmtter bc tne lhrk hl nyfrhamrdhcs. Cbtrhoec bs mdhut ?5% hl tne
Emrtn mtkhspnere, mcf Hxyoec mdhut 45%. Vney mre tne twh khst mducfmct ejekects bc
tne emrtn mtkhspnere, dhtn dy kmss mcf cukder hl fbmthkba khjeaujes. Vne Cbtrhoec bstm`ec hut hl tne mtkhspnere mcf lbxef dy dmaterbm lhr kmcy `bcfs hl pjmcts th amrry hut
tnebr dbhanekbamj prhaesses. Hxyoec bs kmfe dy pjmcts mcf pjmc`thc lhr khst hl jble th
dremtne. Kmcuej, tne Oypsy Qnmkmc, wms tmj`bco mdhut shke ajue th tne dmsba lrmkewhr`hl tne Emrtn tnmt bs resphcsbdje lhr tne exbstecae mcf ahctbcumtbhc hl jble hc Emrtn.
Bt whujf seek bl tne Oypsbes nmve suan searets mdhut suan tnbcos, we snhujf jhh` bcth tne
Urmcus mcf Ceptuce equmtbhcs B ferbvef lrhk tne pmtn Kmcuej sect ke hc, hr bcth tnebr
syctnesbs, wnban bs tne bfem denbcf tne pjmcet we ferbvef tnmt we nmve amjjef Eurhpbm.Vne prhieat ahujf de amjjef M Oecesbs Wrhieat. Brhcbamjjy B nmf ahke th leej tne Oypsbes
hl Qpmbc nmve deec whr`bco hc suan m prhieat, ever sbcae tne terk wms ahbcef bc m Qtmr
Vre` khvbe.
Bmc Demrfsjey Imcumry 1, 47=1
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Vne Wrhdjek Mt Nmcf Bc Ky Extrmterrestrbmj Mcmjysbs 7=
Bc ky whr`, M Vnhrhuon Fbkecsbhcmj Mcmjysbs (Extrmterrestrbmj Mcmjysbs 7=), B suooest
tnmt tne sevectn mcf ebontn pjmcets, Urmcus mcf Ceptuce, tne jmst twh pjmcets hut lrhk tne
suc, nmve shketnbco th fh wbtn twh prhormks nukmcs mre ekdmr`bco hc9 nyperspmabmj
trmvej wnere Ceptuce bs ahcaercef, mcf m prhieat oecesbs wnere Urmcus bs ahcaercef,prhieat oecesbs debco jb`e km`bco emrtn bcth mc Msbkhvbmc Ombm. Vne anhbae detweec twh
suan prhormks bs put delhre Ohjmc Vrevbze dy tne rhdht Fmceej Hjbvmw, bc Lhucfmtbhc
mcf Emrtn, dy Bsmma Msbkhv. Nhwever, bl we ahcsbfer tnmt extrmterrestrbmjs omve us hur
kytnhjhoy, dhtn tne =4 semt pmctnehc hl Mcabect Oreeae tnmt smt uphc Hjykpus, mcf tne=4 semt pmctnehc hl tne \efms bc Bcfbm, lrhk tne shurae bc Mcabect Quker wnere
abvbjbzmtbhc deomc, tnec bcfeef we see tne sboc bcshlmr ms tne Oree` Ohf, Ceptuce, bs tne
sem ohf, mcf m nyperspmabmj spmae prhormk bs settbco smbj uphc tne ahskba haemc th use
tne ketmpnhr hl Amrj Qmomc, mcf Urmcus wms tne shc mcf nusdmcf lhr Ombm, tne aremthr hl Emrtn, lhr wnhk we ouess tne Msbkhvbmc Ombm wms cmkef, cht th kectbhc Ombm Vnehry
hl Imkes Jhvejha`, wnh tnehrbzef tnmt Emrtn bs jb`e m nuoe superhromcbzk, m sbkbjmr
ahcaept th tne Msbkhvbmc Ombm mcf th m prhieat oecesbs, wnhse cmkbco ahkes lrhk m QtmrVre` khvbe, mcf bs sbkbjmr bc bfem th tne Jhvejha`bmc mcf Msbkhvbmc Ombm.
Quan tnbcos debco bc hur kytnhjhoy, mcf sabecae lbatbhc, suan ms Qtmr Vre`, mcf
Lhucfmtbhc mcf Emrtn, kmy de shketnbco th tm`e khre serbhusjy ms remj, bl hce remfs ky
whr` Lbatbhc-Temjbty Ectmcojekect. Bcfeef, bt whujf seek bc tnmt, Wmuj Jevbcshc, BsmmaMsbkhv, mcf Mrtnur A. Ajmr`e mre ectmcojef wbtn nukmc festbcy, bcshlmr ms tnebr lbatbhc
bs matumjjy evbfecae bc supphrt hl tne trmieathry thwmrfs nypefrbve, wnban bs lurtner
supphrtef dy tne Qnejbm` \ersbhc hl Vne Ka@eccm Vbkewmve, mcf tne ohjfec rmtbhahciuomte bl yhu remf tne Anmpter tbtjef ‚Lbatbhc-Temjbty Ectmcojekect‛ bc ky whr` M
‚Vnhrhuon Fbkecsbhcmj Mcmjysbs‛. Bc tne smke whr` bt bs ajemr tnmt B wms set hc ky
ahurse hl fbsahvery dy Oypsbes, evec ms lmr ms B nmve ahke th dejbeve tney mre whr`bcohc m prhieat oecesbs mcf tnmt tney mre tne remshc B nmve deec fhbco tne very smke. _hujfbt de thh dhjf th suooest, lrhk everytnbco tnmt nms deec smbf nere, tnmt Mjbecs sect Oreeae
bc tne fbreatbhc hl nyperspmabmj trmvej, mcf tnmt tney sect Bcfbm hc m ahurse lhr Ombm, hr m
prhieat oecesbs, bc tnmt Oypsbes mre lrhk Bcfbm8 B smy tnbs bc ahcceatbhc wbtn tne bfem tnmt
dhtn Mcabect Oreeae, mcf tne \efms hl Bcfbm nmve twejve semt pmctnehcs hl Qukerbmchrbobc. Jet us tm`e m jhh` mt tnmt nbsthry mcf wnmt bt seeks th bkpjy, drbeljy.
Bmc Demrfsjey Kmran 1=, 47=1
_e Mre Bc M Vnbrf Vrmcsbtbhc
_e fbo up tne Mssyrbmc rubcs bc Keshphtmkbm, mcf lbcf tnese pehpje nmf mc ucferjybco
jmcoumoe decemtn tnebr hwc. Qh we fbo feeper mcf lbcf Vne Qukerbmcs, wnhse hrbobcsmre uc`chwc, dut tnmt bcvectef abvbjbzmtbhc9 textbjes, phttery, morbaujture, wrbttec
jmcoumoe, khcey, kmtnekmtbas, ohverckect mcf bcstbtutbhcmjbzef rejbobhc mdhut =4,777
yemrs moh.
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Vne keanmcbsk hl tne spremf hl tnebr aujture tnrhuon tne whrjf bs9 Vne Nbttbtes hl tne
westerc tbp hl Msbm spremf tne pmctnehc hl twejve semts lhr tne Ohfs emst th Bcfbm (Vne\efms) mcf west th Oreeae (Hjykpus). Vney fh tnbs vbm tne Nhrbtes, hr Nurrbmcs, wnh
were hl Qukerbmc aujture ms tney nmf m @bcofhk tnmt spremf lrhk tne westerc dhrfer hl
Keshphtmkbm th Mcmthjbm, tne Emsterc dhrfer hl Vur`ey.
Vne whrsnbp hl tne lbrst Ohf lrhk wnban mjj htners bc tne whrjf were khfejef wms cmkef
Mc, hr Mcu. Ne mcf nbs wble, Mctu, smt uphc tne tnrhces bc tne nemvecs mcf were @bco
mcf ]ueec hl tne Ohfs. Bc wrbtbco tne fbvbce cmkes, tne Qukerbmcs put m stmr delhre tne
jetters spejjbco tnek.
Mcu mcf Mctu, maahrfbco th mcabect Qukerbmc Auceblhrk vbsbtef emrtn mt tne tekpje bc
Uru`. Vney fbf cht stmy. Ne wnh stmyef wms tnebr shc Ejbj. Ne wms ahcsbferef jhrf hl
tne jmcf, mcf omve tne Qukerbmcs teanchjhoy. Jmter, tne Nedrew Ohf, Ejhnbk, bs smbf thnmve m wble ms wejj. Ner cmke bs Msnerm. Vney mre pmrmjjejs th Mcu mcf Mctu.
_e mre bcterestef bc tnree trmcsbtbhcs. 477,777 yemrs moh, mcmthkbamjjy khferc nukmcs,khre tnmc jb`ejy fesaecfef lrhk Nhkh Ereatus, mre anbppbco sthces, mcf nuctbco. Mjj hl tne suffec, =77,777 yemrs moh tney mre anbppbco sthces bcth mjtmrs mcf bcvectef
snmkmcbsk. Vne amve pmbctbcos bc Lrmcae mcf Qpmbc snhw nhw tney nmve chw bcvectef
Qnmkmcbsk, tne amve pmbctbco fepbatbco tnebr ihurcey th tne spbrbt whrjf tnrhuon tnebr
Qnmkmc, wnh pernmps kmfe tne ihurcey wbtn cmturmj nmjjuabchoecba. Vnesenmjjuabchoecba kbont nmve deec tne amuse hl tnbs trmcsbtbhc th prhthahcsabhuscess.
Vne cext trmcsbtbhc we mre bcterestef bc bs Qnmkmcbstba anmcoehver lrhk whrsnbpbcospbrbts th settjbco fhwc, fhbco morbaujture mcf whrsnbppbco tne Ohfs bc tne s`y, Mcu, mcf
Mctu. Mombc, mdhut =4,777 yemrs moh.
_e kmy de ecterbco m trmcsbtbhc chw, lrhk whrsnbppbco ohfs bc tne s`y, th mdmcfhcbcoOhf mcf deahkbco tne stmranbjf, m pehpje mfmptef th jbvbco bc spmae, deyhcf Emrtn. Vnbs
seeks th de tne kessmoe hl Mrtnur A. Ajmr`e bc nbs Qpmae Hfyssey Chvejs. Vnbs ahujf de
m spbrbtumj Ihurcey ms wejj. _e fhc‒t `chw wnmt we wbjj lbcf mkhco tne stmrs. Vnere
kmy de m stejjmr shabety mjremfy hut tnere wbtn wnban we nmve th bcteormte.
Bmc Demrfsjey
Kmran ==, 47=1
Vnmt _nban B Nmf Emrjber _rbttec
Anmpter =?9 Vne Wrhdjek9 Ombm hr Qpmae Expjhrmtbhc8
Bt nms deec put lhrwmrf bc Ulhjhoy, tne stufy hl wnetner hr cht bctejjboect jble bc tne
Ucbverse nms vbsbtef emrtn, tnmt bcfeef bt nms mcf tnmt tney nmve nmf m nmcf bc hur debco
nere, tnmt we mre bc tnebr nmcfs, tnmt we nmve nmf m rejmtbhcsnbp wbtn tnek sbcae tne
deobccbco hl reahrfef nbsthry, dy lmtner hl Ulhjhoy, Thdert Femc. Bt nms deec suooesteftnmt kuan bc hur nbsthry nms deec drhuont mdhut dy mjbecs, sh Jehcmrf tnhuont tne austhk
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5?
hl cmkbco pjmcets mlter Oree` mcf Thkmc Ohfs wms amusef dy Mjbecs, mcf tne cmkes we
anhse mcf tne sthrbes wrbttec mdhut tnese ohfs were lhr m remshc tne mjbecs nmf. Qh,tnerelhre, ne snhujf bcterpret tne kemcbco hl tne pjmcets tnrhuon tne Ohfs mlter wnban
tney mre cmkef. Mlter mjj nbs Ceptuce equmtbhc phbctef ms wejj th tne Oree` Ohf Urmcus,
mcf ne lejt th anhhse detweec tne twh ne whujf nmve th jhh` mt Qmturc mcf Iupbter.
Vne pjmcet Qmturc wms cmkef lhr m kmihr Ohf wnhse Oree` ahucterpmrt wms Arhcus, wnh
wms tne shc hl Urmcus mcf Ombm dut wms hvertnrhwc dy nbs shc Yeus. Mpprhprbmte bc sh
lmr ms Qmturc bs m oms obmct mcf tne seahcf jmroest pjmcet bc tne Qhjmr Qystek. Vne jmroest
pjmcet bc tne shjmr systek, m oms obmct ms wejj, bs Iupbter, wnban ahrresphcfs th tne th tnevery Oree` Ohf Yeus, wnh hvertnrew Arhcus mcf smt uphc tne tnrhce mt Hjykpus.
Jehcmrf `cew we nmf th anhhse detweec tne pjmcet Urmcus mcf Ceptuce. Detweec tne
Ombm hl Jhvejha` mcf Msbkhv mcf spmae expjhrmtbhc. Arhcus debco tne shc hl Urmcusmcf Ombm, whujf kemc tne pjmcet Qmturc ahrresphcfef th wms Urmcus, wnban kemct we
snhujf anhhse tne whrjf hl tne Ombm hl Msbkhv mcf Jhvejha`. Nhwever Iupbter (Yeus)
whujf bcfbamte we anhhse tne pjmcet Ceptuce (Whsebfhc), hr spmae expjhrmtbhc. Mlter mjj,tne lbrst kbssbhc th jmcf kmc hc tne khhc wms cmkef mlter Mphjjh, tne shc hl Yeus.
Whsebfhc wms tne shc hl Arhcus mcf Tnem mcf drhtner th Yeus. Bl tnere wms hce tnbco
Jehcmrf `cew, tne fbstmcae lrhk tne Quc th Qmturc wms tne fbstmcae lrhk mc mdshjute
kmocbtufe zerh stmr th bts nmdbtmdje zhce, ms ne amjaujmtef bt, mcf ne nmf remshc th dejbevemdshjute kmocbtufe zerh stmrs, wnban mre vbsumjjy djue, mre bkphrtmct. Qh, Qmturc wms
bkphrtmct, tnhuon ne whujf anhhse Iupbter (Yeus), hr Ceptuce (Whsebfhc) bc htner whrfs,
wnban wms spmae trmvej, hver tne Ombm hl Msbkhv mcf Jhvejha` (hr Qmturc wnban bsArhcus, bc htner whrfs).
Bt wms mjj very ahclusbco mcf ne nmf iust stmrtef remfbco Vne Bjbmf mcf lejt ne kmy anmcoenbs kbcf mlter ne remf Vne Hfyssey. Vnmt wnban ne lejt remjjy ceefef th de fhce wms thnmve m sanhjmr bc Oree` mcf Thkmc nbsthry evmjumte tne wnhje tnbco. Ne nmf yet th jemrc
mcytnbco mdhut Chrse Kytnhjhoy th mff th nbs prhdjek.
Bmc DemrfsjeyQhketbke Bc 47=4
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5>
Qet Vnehry 7=
M set bs m ahjjeatbhc hl vmjues orhupef maahrfbco th hce bfem. Vnmt bs tney mjj
dejhco th tne set bl tney nmve shketnbco bc ahkkhc. Bt bs ky nhpe tnmt tnbs
cew set wbjj resujt bc…
Vne cew set bs, m pjmcet dejhcos th tne set bl bt nms twh vmjues tne smke bc
terks hl hur nhke pjmcet, Emrtn. Nere bs wnmt B nmve lhucf mjhco tnhse
jbces9
Iupbter9 Bts hrdbtmj perbhf, hr yemr, kemsuref bc Emrtn yemrs, bs mdhut tne
smke ms bts rmfbus (fbstmcae lrhk bts aecter th bts surlmae) bl bt bs kemsuref bc
emrtn rmfbb.
Keraury9 Bts fbstmcae lrhk tne suc (hrdbtmj rmfbus) bl kemsuref bc terks hl tne hrdbtmj rmfbus hl emrtn, bs tne smke ms bts rmfbus bl kemsuref bc emrtn rmfbb.
Kmrs9 Vnhuon bt bs skmjjer tnmc tne emrtn bt spbcs sjhwer sh tnmt bts fmy bs tne
smke furmtbhc ms tnmt hl tne emrtn. Bt nms mc bcajbcmtbhc th bts hrdbt tne smke
ms tne emrtn.
Ceptuce9 Vnhuon bt bs khre kmssbve tnmc tne emrtn, bt nms tne smke surlmae
ormvbty ms tne emrtn deamuse bt bs kuan jmroer. Bt nms mc bcajbcmtbhc th bts hrdbt
tnmt bs tne smke ms tne emrtn.
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52
Qet Vnehry 74
Bc ky pmper Qet Vnehry 7= B orhup lhur pjmcets bcth hce set, Keraury, Kmrs,
Ceptuce, mcf Iupbter felbcbco tne set ms m pjmcet dejhcos th bt bl bt nms twh
anmrmaterbstbas tne smke bc terks hl hur nhke pjmcet Emrtn. Vnmt jemves tnree
pjmcets hutsbfe hl tne set, \ecus, Qmturc, mcf Urmcus. B lbcf tney ahkprbse m
set ms wejj. Bt bs felbcef m pjmcet dejhcos th tne set bl bt nms tnree
anmrmaterbstbas tne smke ms Emrtn, hr mt jemst hce tnmt ahkes bc seahcf pjmae
th tnhse bc Qet 7= hr tbes wbtn hce bc Qet 7=.
_nec B smy anmrmaterbstba, B kemc pnysbamj anmrmaterbstba ms tney exbst bc tne
lbejf hl pnysbas, jb`e kmss, sbze, hrdbtmj perbhf, rhtmtbhcmj vejhabty, mcf sh
lhrtn. Cht anmrmaterbstbas suan ms sbkbjmr ahkphcects th tne anekbamj
ahkphsbtbhc hl tnebr mtkhspneres9 tnmt whujf de tne remjk hl anekbstry.
Vne Anmrmaterbstbas lhr tnbs Qet 74 mre9
\ecus9 Bt nms m sbze ajhse th tnmt hl tne Emrtn. Bts rmfbus bs 7.262 Emrtn rmfbb.
Bt nms m kmss ajhse th tnmt hl tne Emrtn (7.>=57 tnmt hl tne Emrtn). Mcf, m
surlmae ormvbty ajhse th tnmt hl tne Emrtn (7.>?2o).
Qmturc9 Bt nms mc bcajbcmtbhc th bts hrdbtmj pjmce ajhse tnmt hl wnmt tne Emrtn
nms. Bt bs 42 feorees (B nmve smbf tnbs bs thh fbllerect tnmc tne Emrtn th
qumjbly Qmturc lhr set 7=), seahcf th Kmrs (41.2>) mcf Ceptuce (4>.>) bc Qet7=. Vnmt hl tne Emrtn bs 41.65 feorees. Vnhuon bt bs kuan khre kmssbve tnmc
tne Emrtn, bt bs kuan jmroer, sh bt nms m surlmae ormvbty ajhse th tnmt hl tne
Emrtn (7.245o) mcf bs ajhse echuon th smy bt tbes wbtn tnmt hl Ceptuce
(=.=45o).
Urmcus9 Vnhuon bt bs kuan khre kmssbve tnmc tne emrtn, bts surlmae ormvbty
bs ajhse th tne smke deamuse bt bs kuan jmroer (7.?26o). Vnbs ahkes bc
seahcf pjmae th Ceptuce hl Qet 7= (=.=45o).
Qh we nmve Qet 7= ; (Keraury, Kmrs, Ceptuce, Iupbter) Qet 74 ; (\ecus, Qmturc, Urmcus)
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<7
Tesemran Hl Bsntmr Nms Dest Whssbdje Tesujt
_e nmve aecteref hc Bsntmr deamuse sne wms tne ajue we were jemf th pursubco. Qne bs
represectef dy tne pjmcet \ecus (bkphrtmct) mcf wms `chwc ms \ecus th tne Thkmcs, ms
Mpnrhfbte th tne Mcabect Oree`s, mcf Mstmrte th tne Nedrews. Vne Qukerbmcs nmf
cukders th rmc` tne Ohfs mcf 57 wms tne nbonest. Cmturmjjy tnmt wms mssbocef th Mcu.Bcterestbcojy, Bsntmr wms obvec tne cukder =5 dy tne Qukerbmcs. Vnbs bs ohhf deamuse =5
bs hce hl tne tnree cukders bc ky Ahskhjhoy tnmt wms obvec th us dy tne Oypsy Qnmkmc
Kmcuej. B nmf wrbttec9
Vne Bkphrtmcae Hl ?.4 Bc Vne Ceptuce Equmtbhc
Bkmobce ky surprbse wnec Fhvbf @rmlanhw (Vne Iewbsn Dhnekbmc) smbf ‑ tmj̀ bco mdhut
nbs dhh` 47=4 Mcf Vne Amdmjm -- tnmt \ecus wms ohbco th trmcsbt tne suc lhr sbx kbcutes
hc tne sbxtn hl Iuce (47=4) wnban bs tne sbxtn hl Qbvhc wnban bs tne smke fmy tne Iewbsn
pehpje reaebvef tne Vhrmn, mdhut 1577 yemrs moh deamuse ky Ceptuce Equmtbhc bs dmsef
mrhucf \ecus aremtbco tne kujtbpjber hl ?.4, mcf @rmlanhw lurtner phbctef hut tnmt ?4 bstne nbonest oekmtrbm lhr tne cmke hl tne Ohf hl Bsrmej, RN_N.
Lhr khctns tnmt prehaaupbef, ky kbcf ms th wnmt bt kemct, uctbj tne cext ajue amke. B
jemrcef delhre tne Iews reaebvef tne Vhrmn, tney were Mkhrbtes hl Qyrbm mcf Amccmc
wnh evectumjjy kbormtef th Keshphtmkbm (Brmq) th jbve bc tne M``mfbmc Ekpbre wbtn tne
Qukerbmcs. Bt whujf seek tne Qukerbmcs hl Cbceven whrsnbpef Bsntmr. _ny bs tnmt
bkphrtmct th mjj hl tnbs8 B wrhte tne lhjjhwbco9
Vne Ahcstmct hl Cbceven, wnban wms bc Mcabect Qukerbmc Aucblhrk tmdjets wmsreahocbzef th de, dy Kmurbae Anmtejmbc, wnh wms bc anmroe hl fevejhpbco tneahkkucbamtbhc systeks lhr tne Mphjjh Kbssbhcs (jmcfbco hc tne khhc), tne jhcoshuont mlter cukder tnmt whujf fesarbde every ayaje bc tne shjmr systek, nmsverblbef ky Ceptuce Equmtbhc. B lbcf tnbs bcterestbco deamuse bc tne Mssyrbmc Tejbobhc (Msnurbsk), Bsntmr represects \ecus, mcf wms tne pmtrhcess hl Cbceven,wnere tne ahcstmct wms lhucf. \ecus bs tne kujtbpjber hl ?.4 bc ky Ceptuce Equmtbhc, wnban ahkes lrhk tne rmtbh hl vecus hrdbt th emrtn hrdbt kujtbpjbef dytne kmss hl emrtn fbvbfef dy tne kmss hl tne kmrs. Lurtner tne jmtter rmtbh bs =7 shtne lhrker bs 7.?4. Chw Kmurbae Anmtejmbc nms kmfe tne ahkpejjbco mroukect bcnbs dhh` Hur Ahskba Mcaesthrs, tnmt tne Qukerbmcs ahujf cht nmve ferbvef tnbscukder, tnmt khferc kmtnekmtbabmcs jhh`ef lhr mcf ahujf cht lbcf, dut tnmt bt nmf th de obvec th tnek dy ohfs hr mstrhcmuts. Ne km`es tne mroukect tnmt we mre tnefesaecfmcts hl mcabect mstrhcmuts. Ne lurtner suooests kmcy hl hur Ohfs nmve
shketnbco th fh wbtn tnese Mcabect Mstrhcmuts, wnh omve us teanchjhoy suan msketmjjuroy mcf sh hc.
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<=
Vne Kemcbco Hl Vne Wjmcets
_e nmve kmfe twh sets hut hl tne pjmcets dmsef hc tnebr pnysbamj anmrmaterbstbas. Vney
mre9
Qet 7= ; (Keraury, Kmrs, Iupbter, Ceptuce)Qet 74 ; (\ecus, Qmturc, Urmcus)
Nhw we mrrbvef mt tnek mre bc tne anmpters Qet Vnehry 7= mcf Qet Vnehry 74. Vnbs bs
evbfecae bc supphrt hl tne bfem tnmt Ceptuce represects nyperspmtbmj trmvej (Ceptuce bsQem Ohf mcf nyperspmabmj trmvej bs settbco smbj uphc tne ahskba haemc), tnmt bt phbcts th
Iupbter (Iupbter‒s bs tne lmtner hl Mphjjh mcf Vne Mphjjh Kbssbhcs were tne lbrst kbssbhcs
th Vne Khhc), mcf bc tnmt Kmrs prhkbses th de Cew Emrtn.
Lurtner, bt bs evbfecae bc supphrt hl tne bfem tnmt Urmcus represects km`bco tne Emrtn bcth
mc Msbkhvbmc hr Jhvejha`bmc Ombm, tnmt bs m Wrhieat Oecesbs deamuse bt bs Oehecobceerbco
mcf Urmcus wms tne shc mcf nusdmcf hl Ombm, tne aremthr hl Emrtn. Mcf, lurtner bc tnmt\ecus bs m lmbjef Emrtn, mcf nms deec hl oremt bcterest th ohverckects th stufy nhwpjmcets amc de kmfe th suaaeef ms lmr ms debco nmdbtmdje. _e whujf smy bcshlmr ms
Cetpuce phbcts th Iupbter, tnmt Urmcus phbcts th Qmturc.
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<4
Tesemran Hl Bsntmr Nms Dest Whssbdje Tesujt
_e nmve aecteref hc Bsntmr deamuse sne wms tne ajue we were jemf th pursubco. Qne bs
represectef dy tne pjmcet \ecus (bkphrtmct) mcf wms `chwc ms \ecus th tne Thkmcs, ms
Mpnrhfbte th tne Mcabect Oree`s, mcf Mstmrte th tne Nedrews. Vne Qukerbmcs nmf
cukders th rmc` tne Ohfs mcf 57 wms tne nbonest. Cmturmjjy tnmt wms mssbocef th Mcu.Bcterestbcojy, Bsntmr wms obvec tne cukder =5 dy tne Qukerbmcs. Vnbs bs ohhf deamuse =5
bs hce hl tne tnree cukders bc ky Ahskhjhoy tnmt wms obvec th us dy tne Oypsy Qnmkmc
Kmcuej.
Bsntmr Mcf Ner Tmc`bco
Bt bs mpprhprbmte tnmt Bsntmr (\ecus) wms rmc`ef =5 dy tne Qukerbmcs bcshlmr ms sne wms
tne pmtrhcess hl Cbceven, mcf tne Cbceven Ahcstmct wms lhucf bc Cbceven deamuse =5 bsjb`e m Cbceven Ahcstmct lhr fbkecsbhcmj mcmjysbs. Vne Cbceven Ahcstmct bs jb`e m
ahkkhc fechkbcmthr lhr perbhfs mcf ayajes bc tne shjmr systek.
Bmc DemrfsjeyMprbj 4, 47=1
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<1
Qukerbmc Mstrhchkers
Vne Qukerbmcs were extrmhrfbcmry mstrhchkers. Bt whujf seek tney fbf cht iust reahrf
tne aejestbmj ayajes lrhk hdservmtbhc, dut nmf lhrkujms tnmt prefbatef tnek. _e hltec
spem` hl tne sabecae hl anekbstry ms ahkbco lrhk mjaneky, mcf tne sabecae hl mstrhchky
ahkbco lrhk mstrhjhoy, dut bt whujf seek tne ms tnbs kmy nmve deec tne amse kuan jmterbc nbsthry, remjjy delhre tnmt bc Keshphtmkbm, mstrhjhoy hl tne Anmjfemcs amke lrhk tne
mstrhchky hl tne Qukerbmcs delhre tnek tnmt fmtef dma` mdhut 6577 DA. Vh tne
Qukerbmcs tne Emrtn wms spnerbamj, m ojhde, cht ljmt, ucjb`e tne Mcabect Oree`s dejbevef,
uctbj shke hl tnek deomc th smy mombc tnmt tne Emrtn wms rhucf. Vne Emrtn fbf deahkeljmt hcae khre, uctbj shkewnmt jmter wnec Ahpercbaus jhh`ef thwmrfs mcabect Oree`
texts tnmt nmf bt rhucf. Dut khst mkmzbcojy, tne Qukerbmcs cht hcjy nmf m spnerbamj
mstrhchky, tney fepbatef tne s`y ms nmvbco ahcstejjmtbhcs bc dhtn tne chrtnerc mcf
shutnerc nekbspnere, evec tnhuon tney ahujf cht see tne shutnerc ahcstejjmtbhcs lrhktnebr phsbtbhc mdhve tne equmthr. Vnbs ahupjef wbtn tne lmat tney nmf lhrkujms lhr tne
khtbhcs hl aejestbmj dhfbes, whujf bcfbamte tnebr shurae hl `chwjefoe amke lrhk
extrmterrestrbmjs.
Vnmt wnban B whujf jb`e th phbct hut, tnhuon, bs tne ahcstmct reaurrecae hl \ecus bc ky
resemran. Qne (Bsntmr) wms tne pmtrhcess hl Cbceven (lertbjbty ohffess), bc Keshphtmkbm,
wnere tne Cbceven ahcstmct wms lhucf bc Qukerbmc texts, wnban bs tne ahkkhc
fechkbcmthr th mjj aejestbmj ayajes bc tne shjmr systek, ms fbsahveref dy KmurbaeAnmtejjmbc hl CMQM (remf nbs dhh` Hur Ahskba Mcaesthrs). \ecus bs tne shurae hl ?.4 bc
ky Ceptuce equmtbhc, mcf represects lmbjure cht iust bc tnmt equmtbhc dut bc ?4 nhurs mre
tnhse obvec lhr wnec tne ME-15 ucbt wbjj lmbj bc 477=0 M Qpmae Hfyssey. Nhwever, bcky set tnehry 7= mcf 74 \ecus bs msshabmtef wbtn Ombm, hr m Wrhieat Oecesbs, wnbje Kmrs
bs msshabmtef wbtn spmae expjhrmtbhc. B mk bcterestef th chw jemrc tnmt tne whddje hl tne
Emrtn, hr preaessbhc hl tne mxbs, tne tbke bt tm`es th stmrt mt phbctbco th tne Chrtn Qtmr, mcfreturc th bt bs, hce feoree per ?4 yemrs obvbco bt m perbhf hl 45,247 yemrs wnban bs ?4 tbkestne feorees bc m abraje.
B lbcf bt bcterestbco tnmt tne Qukerbmcs, ms B nmve smbf, omve tne vmjue hl =5 th Bsntmr, hr
\ecus. =5 bs tne kmoba cukder usef bc ky Ahskhjhoy, cht iust th ucbly tne lhht-phucfsystek wbtn tne ketrba systek, dut th rejmte dhtn systeks th Vne Ahskhs. ?.4 bs tne
lhurtn cukder bc ky Ceptuce Qequecae. _e `chw tnmt ky ahskhjhobamj cukders wmct
th fesarbde hur ucbts hl kemsurekect bc terks hl cmture. Bc tnbs amse tnmt bs tne ucbt hl
hce feoree.
_e snhujf mjsh km`e ajemr tnmt tne Qukerbmc Mstrhchkers were tne Mcabect Oree`shurae lhr tne cmkbco hl tne ahcstejjmtbhcs, mcf ms suan tnebr systek rekmbcs bctmat th tnbs
fmy. Hce kbont phbct hut, mombc, tnmt ?4 bs tne nbonest oekmtrbm lhr tne Nedrew Ohf,RN_N.
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<6
Mppecfbxes
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<5
H lhr Emrtn ; =.6252?2E=1 ak T lhr Emrtn ; <,1?> `k K lhr Emrtn ; 5.2?<E4? o
Emrtn-Khhc Qepmrmtbhc9 1.>6E=7 akQhjmr Tmfbus9 <.2522E=7 ak
Khjmr Kmss hl Ohjf9 Mu ; =2<.2?
Khjmr Kmss hl Qbjver9 Mo ; =7?.>?
Qmturc (kbcbkuk fbstmcae lrhk suc) ; 2.7=6 MU ; =.16>E2 `k
Iupbter (kbcbkuk fbstmcae lrhk suc) ; 6.25= MU ; ?.672E> `k
Iupbter (kmxbkuk fbstmcae lrhk tne suc)9 5.655 MU ~ 5.6 Mstrhchkbamj Ucbts
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<<
Qbx-Lhjf Qykketry (Vne Cbce-Lbltns Mjohrbtnk bc Teverse)
1<7/< ; <7
1<7-<7 ; 177
177 ‑ <7 ; 467
467/1<7 ;4/1
(4/1) + = ; 5/1
Ahucterpmrt th cbce-lbltns bs lbve-tnbrfs.
Vne lbve-tnbrfs mcoje bs <7 feorees.
Qbxtyfeorees bs tne kemsure hl eman mcoje bc mc equbjmtermj trbmcoje, wnban bs hce hl tne
tnree tessejjmtbco reoujmr phjyohcs. M schwljm`e wbtn eman mrk sepmrmtef dy sbxty
feorees lhrks m reoujmr nexmohc wbtn bctercmj mcojes hl =47 feorees.
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<?
Vne Rmco Ejekects
@ ; phtmssbuk
Cm ; Qhfbuk
@/Cm ; 12.=7/44.22 ; =.?=
5/1 ;=.<? ~ =.?
@/Cm ~ 5/1
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<>
Vne Fmcae Hl Vne Nemvecs
Bt bs mc extrmhrfbcmry tnbco, tne fmcae hl tne aejestbmj dhfbes bc tne nemvecs tnmt nms deec
hdservef sbcae mcabect tbkes, mcf lhucf th de fesarbdmdje bc terks hl tne khst whcfrhus
mspeats hl dhtn cukder mcf oehketry.
Deamuse hl tne khtbhc hl tne emrtn mrhucf tne suc, tne stmrs wbjj mppemr bc tne smke
phsbtbhc bc tne s`y lhur kbcutes emrjber eman cbont, ms tne emrtn rhtmtes, km`bco tnek rbse
mcf set, sh tnmt bc tne ahurse hl tne 1<5 fmy yemr tney wbjj nmve kmfe m ahkpjete ihurceymrhucf tne s`y. Vne Emrtn ohes mrhucf tne Quc hcae bc tnbs 1<5 fmy yemr, mcf 1<5 bs
ajhse th 1<7, wnban mre tne cukder hl feorees bc m abraje. _e nmve fbvbfef up tne abraje
jb`e tnbs, deamuse 1<7 bs fbvbsbdje evecjy dy tne feorees bc speabmj trbmcojes9 Vne
equbjmtermj trbmcoje (<7-<7-<7), tne 65-65-27, mcf tne 17-<7-27, kmfe dy frmwbco bc tnemjtbtufe hl tne <7-<7-<7 trbmcoje.
Bc turc, tne Khhc ohes mrhucf tne Emrtn m jbttje khre tnmc twejve tbkes bc m yemr. Vwejvebs tne skmjjest mducfmct cukder. Bt bs evecjy fbvbsbdje dy =, 4, 1, 6, <, mcf =4. Bt cbaejyhrdbts tne Emrtn bc mdhut 17 fmys, mcf we mjremfy kectbhcef 17 fbvbfes cbaejy bcth 1<7.
Qh, we nmve tne twejve khctn yemr mcf tne 17 fmy khctn. _e fhudje hur skmjjest
mducfmct cukder, =4 th oet 46, mcf we fbvbfe hur fmy bcth 46 nhurs, tne fmy debco tne
tbke bt tm`es tne emrtn th revhjve hc bts mxbs.
_e tnec fbvbfe eman nhur bcth <7 kbcutes, mcf eman kbcute bcth <7 seahcfs. _e mjremfy
kectbhcef <7 fbvbfes cbaejy bcth 1<7 feorees. _e fbvbfe eman qumrter hl tne khhc bcth ?fmys, sh tnmt mlter m khctn we nmve ajhse th bts mpprhxbkmte hrdbtmj perbhf hl 17 fmys.
_e nmve fhce m ohhf ihd tnmt deomc wbtn tne mcabects, hl km`bco tne khtbhcs hl tneaejestbmj dhfbes, wnban mre jb`e m cmturmj ajha`, th lbt tnek wbtn tne `ey cukders, mcfoehketrbes. Bt whujf seek tnbs bs wnmt we nmve fhce. Bt bs mkmzbco th ke tnmt tne emrtn
mcf khhc amke mdhut bc m wmy tnmt tney khve sh ajhsejy th suan m saneke.
Chw B lbcf tnmt tnere bs m ybc mcf ymco bc tne Ucbverse hl 2/5 mcf 5/1, respeatbvejy lrhkwnban amc de ferbvef wnmt B amjj tne Urmcus equmtbhc, mcf, bt seeks th reahcabje tne
ketrba systek wbtn tne lhht phucf systek, mcf lurtner, tnhuon nukmc bcvectbhcs, snhw
tnek ahcceatef cht iust th hce mchtner, dut th tne Ahskhs.
Fh mjj stmr systeks bc tne Ucbverse, espeabmjjy tnhse tnmt nhst bctejjboect jble, nmve suan
mc extrmhrfbcmry struature ms hurs, pernmps bcfbamtbco tney mre bc tne Ucbverse lhr mremshc, ms hurs smys mdhut us8 Kmcuej ajmbkef ne nmf deec mjj marhss tne Omjmxy, mcf
tnmt tnhuon fbllerect, tney fbf.
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<2
Vne Ahcceatbhc Hl Wb Vh Vne Keter
Lbrst suooestef ms m felbcbtbhc lhr tne keter dy Anrbstbmc Nuyoecs9
(pb)S4 ; 2.>?
Bl o ; 2.>? k/sea/sea bcstemf hl 2.>= k/sea/sea
Vnec, lrhk
V;4(pb)sqrt(j/o) wnban bs tne perbhf hl m pecfujuk
_e wrbte9
V ; 4(pb)sqrt(j/o)
V ; 4(sqrt(pbS4)j/o) ; 4(sqrt(oj/o) ; 4(sqrt(j))
Bl hce keter ; j
Vnec V ; 4 seahcfs
Vnus we felbce m keter ms tne jecotn hl m strbco tnmt obves m pecfujuk tne perbhf hl twh
seahcfs. Vnmt bs m swbco th tne jelt hl hce seahcf mcf m swbco dma` th tne rbont hl hce
seahcf. Tekekder tnbs felbcbtbhc hl m keter whujf de ajhse tne keter wnere m `bjhketerbs hce tec tnhusmcftn hl tne fbstmcae lrhk tne phje th tne equmthr.
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Vne Ahupjbco Hl Kmrs Mcf Emrtn9 Kmcuej Qpem`s Vh Ke Dy Vejepnhce Lrhk Qpmbc Vh
Amjblhrcbm
Kmcuej9 ‚Bmc, B amc‒t oet hver wnmt yhu smbf emrjber tnmt twh hl tne Wytnmohremc Qhjbfs
nmve vhjukes, hce hl cbce tetrmnefrm mcf tne htner hl lbve tetrmnefrm. Vnere mre hcjy lbve
Wytnmohremc shjbfs mcf twh hl tnek nmve vhjukes tne smke cukders ms tne fbstmcae thIupbter mcf Qmturc bc tnebr ajhsest mpprhmanes th tne suc bl tne emrtn bs mt hce ucbt lrhk tne
suc! Vnbs kemcs tne tetrmnefrhc represects tne emrtn deamuse bt nms m vhjuke hl hce. Vnbs
bs bcterestbco deamuse tne shjmr rmfbus th tne emrtn-khhc fbstmcae bs 2 th 5, mcf 2 th 5 bs
tne khjmr kmss hl ohjf th tne khjmr kmss hl sbjver.‛
‚_ny bs tnbs sh bcarefbdje8 Bt bs bcarefbdje deamuse tne tetrmnefrhc mjsh nms lhur lmaes mcf
Kmrs bs tne lhurtn pjmcet. Bt bs mpprhprbmte tnmt tne tetrmnefrhc ahupjes emrtn mcf kmrs,
lurtner, bc tnmt bt bs lhur lmaef (kmrs bs tne lhurtn pjmcet lrhk tne suc), mcf eman lmae nmstnree vertbaes (emrtn bs tne tnbrf pjmcet lrhk tne suc). Rhu kmy cht tnbc` tnmt bs bcarefbdje
dut ahcsbfer amteohrbzbco tne pjmcets wbtn tne skmjjest mducfmct cukder, twejve.
Qkmjjest mducfmct cukder kemcs bt bs tne khst fbvbsbdje lhr bts sbze. Vwejve bs fbvbsbdjedy =, 4, 1, 6, mcf < m wnhje cukder hl tbkes. Vne suk hl tnese cukders bs =<, wnban bsoremter tnmc =4. Kmrs bs tne lhurtn pjmcet hut lrhk tne suc. Vwejve fbvbfef dy lhur bs
tnree, mcf tne emrtn bs tne tnbrf pjmcet hut lrhk tne suc. Vnus hcae mombc tne emrtn mcf
Kmrs mre ahupjef.‛
‚B amc ahupje tnek mombc. Ejekects mre mthks, mcf tne cukders hl pmrtbajes tnmt
ahcstbtute tnek feterkbce tne ejekect, mcf bts rejmtbve kmss, hr ‚khjmr kmss‛ ms bt bs
amjjef. Vne mtkhspnere hl Kmrs bs khstjy AH4, mdhut 25 peraect. Vne emrtn mtkhspnere bskhre tnmc 27 peraect hxyoec mcf cbtrhoec. B amjaujmte AH4 th nmve m khjmr kmss hl 66.7=
mcf emrtn mbr th nmve m khjmr kmss hl 4>.5?5<. Vne Kmrs hrdbtmj fbstmcae ahkpmref th tne
emrtn hrdbtmj fbstmcae bs mdhut =.5. Vne khjmr kmss hl AH4 ahkpmref th tne khjmr kmss hl mbr bs mdhut =.5. Vnmt bs tne kmrs-suc fbstmcae bs th tne emrtn-suc fbstmcae ms Kmrtbmc mbr bsth emrtn mbr.‛
‚Bt ohes lurtner tnmc tnmt. Bl tne emrtn surlmae ormvbty bs =, tnmt hl Kmrs bs 7.1>7. Vnmt bs m
rmtbh hl 4.<1. Vne khjmr kmss hl hxyoec oms (H4) wnmt we dremtn, bs 14.77. Vne khjmrkmss hl amrdhc, tne dmsbs hl jble ms we `chw bt, bs =4.7=. Vnmt bs m rmtbh hl 4.<<. Vnmt smys
bt tm`es mdhut tne smke eceroy th jblt m khje hl amrdhc hc emrtn, ms bt fhes th jblt m khje hl
hxyoec (H4) hc kmrs tne smke fbstmcae.‛
‚Emrtn mcf Kmrs mre yet lurtner ahupjef9‛
‚Vne emrtn mtkhspnere wms hcae khstjy amrdhc fbhxbfe (AH4) jb`e tne kmrs mtkhspnerebs thfmy, uctbj pjmct jble amke mjhco mcf stmrtef ahcvertbco tne amrdhc fbhxbfe bcth
hxyoec, usbco jbont lrhk tne suc mcf bc tne prhaess km`bco tne khst lucfmkectmj suomr,ojuahse (wnban bs mt tne dhtthk hl tne lhhf anmbc). M prhaess amjjef pnhthsyctnesbs.‛
‚Ojuahse bs A<N=4H<. B amjaujmte ojuahse nms m khjmr kmss hl =>7.=< mcf wmter, wnban
ahvers khst hl tne surlmae hl tne emrtn, anekbamj lhrkujm N4H, B amjaujmte nms m khjmr
kmss hl =>.7=<.‛
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?=
‚=>7.=< fbvbfef dy =>.7=< bs mdhut =7 mcf tne emrtn bs mdhut =7 tbkes ms kmssbve ms kmrs.
Vnmt bs, ojuahse bs th wmter ms tne emrtn kmss bs th tne kmss hl kmrs.‛
‚Rhu mre prhdmdjy whcferbco wny B mk sh mkmzef tnmt Kmrs mcf emrtn mre sh ahupjef
ekpbrbamjjy. _ejj tne pjmcet Keraury bs thh nht th supphrt nukmc jble deamuse bt bs sh
ajhse th tne suc, \ecus nms tne smke prhdjek. Dut tne emrtn bs tne cext pjmcet hut mcf tnerbont fbstmcae lrhk tne suc th de cht thh wmrk th supphrt jble.XVne cext pjmcet mlter tne
emrtn bs Kmrs, mcf bt kmy de ahjf, dut cht thh ahjf th ahjhcbze, hr evec hce fmy terrmlhrk
(km`e nmdbtmdje lhr nukmcs). Vne cext pjmcet mlter Kmrs bs Iupbter, cht iust thh ahjf, dut
khstjy oms, sh tnere bs chtnbco shjbf th stmcf hc. Vne cext pjmcet, Qmturc, evec ahjfer mcfkhstjy omsehus ms wejj. Vne trecf ahctbcues hc th Ceptuce mcf Urmcus. Wjuth bs iust tnbs
ahjf jbttje fwmrl pjmcet, wnhse tnbc mtkhspnere ahjjmpses wnec bt bs lurtner lrhk tne suc.‛
‚Rhu see tnec wny B mk sh mkmzef Kmrs mcf emrtn mre ahupjef dy tnese cukders, tney
matumjjy nmve hce tnbco bc ahkkhc, shjbf pjmcets, cht ajbkmtbamjjy thh nht lhr nukmcs, hrthh ahjf.‛
‚Vnese cukders tnmt ahupje Kmrs wbtn emrtn, seek th smy tne pjmcet bs tnere ms m steppbcosthce th tne stmrs, tnmt bt bs tbke th wmfe hut bcth tne ahskba haemc, th use tne ketmpnhr hl Amrj Qmomc, hr sbc`. Vnmt bs, lhr shke remshc we nmve wnmt we ceef, dut m anmjjecoe nms
deec put th us. _e nmve th hverahke hur prhdjeks, jb`e specfbco khcey mcf reshuraes
hc wmr bcstemf hl spmae expjhrmtbhc. Qpmae expjhrmtbhc amc shjve tne eahchkba arbsbs.
Ahjhcbzbco Kmrs whujf oecermte m kmssbve bcfustry tnmt whujf aremte whr` nere hc emrtnbc every seathr, lhr everyhce, mcf, bt whujf mjj de pmbf lhr dy tne reshuraes tnmt mre hut
tnere bc tne shjmr systek. Ms Amdmj smys th Wmsswhrtny bc Vnbcos th ahke dy N.O.
_ejjs9‛
‚‚Mcf bl we‒re ch khre tnmc mcbkmjs, we kust scmtan eman jbttje sarmp hl nmppbcess, mcf
jbve, mcf suller, mcf pmss, kmtterbco ch khre tnmc mjj tne htner mcbkmjs fh hr nmve fhce. Btbs tnbs, hr tnmt. Mjj tne ucbverse hr chtnbco. _nban snmjj bt de Wmsswhrtny8 _nban snmjj btde8‛‛
‚B dejbeve we mre mt tnmt tbke bc nbsthry, mcf tne CmchLEV kmr`s bt. Drbmc Objanrbst bs
whr`bco hc tne CmchLEV bfem. Lbejf Elleat Vrmcsbsthrs mre usef th anmroe jbontcmchpmrtbajes, sh tney amc de eieatef hut tne dma` ecf hl m snbp wbtn m serbes hl kmocetba
lbejfs kmfe dy stma`s hl kbarhanbp ahkphcects, kuan tne smke wmy anmroef pmrtbajes mre
maaejermtef dy ejeatrhkmocets bc m pmrtbaje maaejermthr. Vne cmchLEV snbp amc reman 27%
tne speef hl jbont, tnehretbamjjy, bl dubjt jbont mcf hutsbfe tne emrtn‒s ormvbty. Hl ahurse tnesnbp bs m stmrsnbp tnmt whujf tm`e khre tnmc lhur yemrs th reman tne cemrest stmr, dut usef
th oh th kmrs kbont hcjy tm`e m ahupje nhurs hr sh.‛
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Vne Oecesbs Nyphtnesbs
Bt bs ky ouess tnmt Vne Oecesbs Wrhieat ‑ km`bco m jble sustmbcbco pjmcet ‑ whujf de
mttmbcmdje dy usbco m pjmcet bc hrdbt mrhucf m stmr hl m jukbchsbty tnmt bs mdshjute
kmocbtufe zerh mt m fbstmcae lrhk bt tnmt bs tne smke ms tne fbstmcae detweec tne pjmcet
Qmturc mcf tne Quc. B amjj tnbs ‚Vne Oecesbs Nyphtnesbs‛.
Vne nbcts nbffec bc Cmture tnmt jemfs ke th tnbs ouess mre9
=. Vne eceroy requbref th khve tne emrtn lrhk tne suc th bts hrdbt hl hcemstrhchkbamj ucbt bs mdhut 26.4 shjmr jukbchsbtbes rmfbmtef hver m yemr, m cukder
ajhse th tne cukder hl cmturmjjy haaurrbco ejekects, wnban mre 24. 24 shjmr
jukbchsbtbes mre ajhse th tne jukbchsbty hl mc mdshjute kmocbtufe zerh stmr. Vnere
mre preabsejy >5.545. Bl we mvermoe tnbs wbtn =77 shjmr jukbchsbtbes we nmve24.?<45 shjmr jukbchsbtbes, very ajhse th tne cukder hl cmturmjjy haaurrbco
ejekects.
4.
Qmturc nms tne khst prhkbcect rbco systek bc tne shjmr systek. Bt bs mdhut =7tbkes lurtner lrhk tne suc tnmc tne Emrtn bs lrhk tne suc, mcf bl mc mdshjutekmocbtufe zerh stmr bs mdhut =77 shjmr jukbchsbtbes, dy tne bcverse squmre jmw tne
nmdbtmdje zhce hl mc mdshjute kmocbtufe zerh stmr bs tne smke fbstmcae lrhk tnmt
stmr ms Qmturc bs lrhk tne Quc.
1. B lhucf mdshjute kmocbtufe zerh stmrs nmve m ahcceatbhc wbtn mc ecbokmtbahaaurrecae hl 1.? bc tne Ucbverse.
Ahcaertbco cukder 1, tne jmtter phbct, B nmf wrbttec mdhut tnrhuon ky anmrmater Jehcmrfbc Vne Qearet Hl Ceptuce9
Jehcmrf relerref th nbs perbhfba tmdje hl tne ejekects mcf chtbaef tnmt tne rmtbh hl Ohjf(anekbamj sykdhj Mu) th Brhc (anekbamj sykdhj Le) wms 1.5. _ny wms tnbs bkphrtmct8Ne lbouref bt wms bkphrtmct deamuse tne jukbchsbty hl m stmr bcaremses exphcectbmjjy ms
tne kmss hl m stmr, mcf tnmt exphcect wms 1.5.
Ohjf nms deec ahcsbferef tne khst preabhus ketmj sbcae delhre tne Mcabect EoyptbmcsDurbef tnebr `bcos bc thkds wbtn tremsures kmfe hl tne stull, th thfmy ms tne khst preabhus
hl aerekhcbmj iewejrbes, mcf tne use hl Brhc kmr`ef tne deobccbco hl mc moe lhr nukmcs
tnmt ahctbcues th tnbs fmy. Ne chtbaef bl ne jet mc mdshjute kmocbtufe zerh stmr, wnban ne
nmf snhwc wms bkphrtmct, de rhucfef th =77 shjmr jukbchsbtbes, wnban put bts nmdbtmdjezhce mt Qmturc hrdbt mrhucf tne suc, mcf usef tnmt cukder bc tne equmtbhc, bt whujf nmve m
kmss hl 1.? sucs. Ne lhucf 1.? wms bkphrtmct bc nbs lhjjhwbco fbsahvery9
P(vhjuke hl smturc)/(vhjuke hl Iupbter)[(vhjuke hl kmrs)
;(keraury rmfbus)(emrtn rmfbus)S4
;P(vecus hrdbt/emrtn hrdbt)(emrtn rmfbus)[S1
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?1
;P(keraury hrdbt)/(emrtn hrdbt)[(emrtn rmfbus)S1
;7.1? audba emrtn rmfbb
7.1? amc de ahcvertef th 1.? dy kujtbpjybco bt dy tne rmtbh hl emrtn kmss th kmrs kmss
deamuse bt bs ajhse th tec.
(emrtn rmfbus)/(khhc rmfbus);
6(feorees bc m abraje)(khhc fbstmcae)/(suc fbstmcae)
; 1.?
Vnere mre mdhut ms kmcy fmys bc m yemr ms feorees bc m abraje.
… Mcf tnerelhre mdshjute kmocbtufe zerh stmrs (djue stmrs) were hcae mombc rejevmct th
tne nukmc sthry.
B nmf lurtner wrbttec m tremtbse hc Djue Qtmrs, ms lhjjhws‛
Bc hrfer th fevejhp m ahkprenecsbve exhphjbtbas (phjbtbas detweec tne spmaelmrbco
whrjfs) hce nms th amteohrbze tne fbllerect `bcfs hl stmrs mcf expjmbc tnebr rejevmcae sbcaetney mre tnhse tnbcos, wnban wmrk tne whrjfs. B hrbobcmjjy tnhuont djue stmrs were hl
prbke bkphrtmcae, dut bt kmy de mjj stmrs (wnban we wbjj fbvbfe bcth lhur amteohrbes9 ref,
yejjhw, djue, wnbte) mre bkphrtmct bc fbllerect wmys. B nere deobc tne prhaess, stmrtbcowbtn djue stmrs.
Ky amjaujmtbhcs ahcaercbco mdshjute kmocbtufe zerh stmrs (Djue Qtmrs) mre ms lhjjhws9
Anmpter >9 Jehcmrf Amjaujmtes M Lucatbhcmj Qtmr Qystek
Ectry9 Vhpba9 Djue Qtmrs
_e wbjj lbcf tne eceroy requbref th khve tne emrtn hl kmss k, lrhk tne surlmae hl tne sucucfer bts ormvbty, th bts aurrect hrdbt hl hce mstrhchkbamj ucbt, tne suc hl kmss K.
Vne eceroy obvec th khve shketnbco mombcst ormvbty bs obvec dy tne _hr`, _9
_hr` ; _ ; L fs
L bs Lhrae. Bc tne amse hl tne suc mcf emrtn, we use Cewthc‒s Ucbversmj Jmw hl Ormvbty9
L ;OKk
r4
_e bcteormte lrhk T th r (lrhk tne rmfbus hl tne suc th tne hrdbt hl emrtn)9
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?6
_ ; L " fr # ; $OKk
r
O bs tne ucbversmj ahcstmct hl ormvbty.
O ; <.<?4E-7> bc fyc-aectbketer squmref-per seahcf squmref
Mcf, K ; =.2>2E11 ormksMcf k ; 5.2?<E4? ormks
Mcf T ;<.2522E=7 aectbketers
Mcf r ; =.6252?2E=1 aectbketers
Evmjumtbco tne bcteormj lhr whr`, _9
OKk ; (<.<?4 E " 7>)(=.2>2 E 11)(5.2?< E 4?)
_nban bs equmj th ?.21E51
(?.21E51)/(<.2522E=7) ; =.=6E61 eros
(?.21E51)/(=.6252?2E=1) ; 5.17E67 eros
=.=6E61 ‑ 5.17E67 ; =.=1E61 eros
= ero ; =E-7? ihujes
Vne lbcmj mcswer bs =.=1E1< Ihujes hl eceroy th khve emrtn lrhk tne suc th bts hrdbt.
_e chw amjaujmte nhw kmcy tbkes drbonter tne suc nms th de th equmj tne mccumj hutput
hl eceroy (jukbchsbty) hl wnmt we iust amjaujmtef, tne eceroy th khve tne emrtn lrhk tne
surlmae hl tne suc th bts aurrect hrdbt.
Qeahcfs bc m yemr9
(1<5 fmys)(46 nhurs)(<7 kbcutes)(<7 seahcfs) ; 1.=5E?
Qhjmr jukbchsbty bs9 1.>4<E4< I/s
(1.>4<E4< I/s)(1.=5E? s) ; =.4=E16 I/yr
(=.4E16)x ; =.=1E1< I
Mcf, x ; 26.4
Vne suc kust de 26.4 tbkes ms jukbchus lhr bts mccumj hutput bc eceroy th equmj tne
eceroy requbref th khve tne emrtn lrhk bts surlmae th bts aurrect hrdbt.
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_e amjaujmtef tnmt mc hdieat nms th de mdhut 26 tbkes ms jukbchus ms tne suc th nmve mcmccumj hutput bc eceroy hver m yemr, tnmt equmjs tne eceroy requbref th khve tne emrtnlrhk tne surlmae hl tne suc th bts hrdbt, mcf tnere mre 24 cmturmjjy haaurrbco ejekects ms hl yet, m cukder ajhse th tne lmathr hl 26.
Jet us rhucf tnmt jukbchsbty th 26 shjmr jukbchsbtbes, mcf amjaujmte tne mdshjutekmocbtufe hl suan mc hdieat.
4.5=4 x
; 26
x jho 4.5=4 ; jho 26
7.6x ; =.2?1
x ; 6.21
Vne suc nms mc mdshjute kmocbtufe hl 6.>1 wnban bs mdhut lbve. Vne mdshjute kmocbtufehl hur hdieat bs 6.21 steps bc kmocbtufe drbonter tnmc tne suc, wnban bs mdhut lbvekmocbtufes drbonter tnmc tne suc. Lbve steps drbonter bs lbve kbcus lbve, wnban obves hur
hdieat mc mdshjute kmocbtufe hl zerh. Vnus tne systek hl tne mcabects nms m zerh
kmocbtufe rejmtef sh ejeomctjy th tne cukder hl tne cmturmjjy haaurrbco ejekects mcf tne
eceroy requbref th khve tne emrtn lrhk tne suc th emrtn hrdbt.
M zerh mdshjute kmocbtufe hdieat bs m stmr hl speatrmj ajmss D hc tne kmbc sequecae. Vnmt
bs bts ahjhr bs djue.
Vne nmdbtmdje zhce hl m pjmcet bs tne hrdbtmj fbstmcae lrhk m stmr tnmt mjjhws wmter th exbst
ms m jbqubf. Qbcae hur zerh kmocbtufe stmr bs mdhut 26 tbkes khre jukbchus tnmc tne suc,ms B nmve amjaujmtef bt, tne nmdbtmdje zhce lhr m pjmcet mrhucf tnbs zerh kmocbtufe stmr bslurtner lrhk bt tnmc tne emrtn bs lrhk tne suc. Jukbchsbty, hr tne mkhuct hl jbont obvec hll
dy m stmr fearemses ms tne squmre hl tne fbstmcae lrhk tne stmr (see tne bcverse squmre jmw).
Qbcae tnbs kmocbtufe zerh stmr bs mdhut 26 tbkes drbonter tnmc tne suc, mcf tnere bs shke
pjmy bc tne nmdbtmdje zhce, we amc, lhr emse hl amjaujmtbhc, mcf ejeomcae, smy hur stmr bs=77 tbkes khre jukbchus tnmc tne suc. Qbcae tec squmref bs =77 tne nmdbtmdje zhce
mrhucf hur djue, speatrmj ajmss D, zerh kmocbtufe stmr bs =7 mstrhchkbamj ucbts lrhk bt.
Vnbs puts tne hrdbt hl m pjmcet mrhucf tne stmr mt tne smke fbstmcae Qmturc bs lrhk tne suc.
Vne stmrs hc tne kmbc sequecae lhrk mc Q snmpef aurve wnere jukbchsbty bcaremses wbtn
kmss. Vne suc bs exmatjy bc tne kbffje hl tnbs aurve, mc mvermoe, yejjhw stmr hl speatrmjajmss O. Vne rejmtbhcsnbp lrhk m smkpje hl kmcy stmrs snhws tnmt kmss, K bs rejmtef thjukbchsbty, J ms lhjjhws9
J ; K 1.5
_e amc lbcf tne kmss hl hur zerh kmocbtufe stmr wbtn tnbs9
=77 ; K 1.5
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?<
jho =77 ; 1.5 jho K
(4)/(1.5) ; jho K
7.5? ; jho K
K ;=7
7.5?
; 1.?
Hur zerh kmocbtufe, djue, speatrmj ajmss D stmr bs 1.? shjmr kmsses.
Vne kmss hl tne suc bc ormks bs9
=.2>2E11 o
Vnbs kemcs hur zerh kmocbtufe djue, speatrmj ajmss D stmr nms m kmss hl9
(=.2>2E11 o)(1.? shjmr kmsses) ; ?.1<E11 ormks
_e amc use @epjer‒s tnbrf jmw hl pjmcetmry khtbhc lhr abraujmr hrdbts th amjaujmte tne
yemr hl m pjmcet bc abraujmr hrdbt mrhucf hur zerh kmocbtufe, speatrmj ajmss D, djuestmr. Bt bs9
V ; 4"
r1
OK
_nere V bs tne hrdbtmj perbhf, hr yemr hl tne pjmcet bc questbhc, mcf r bs bts hrdbtmjfbstmcae lrhk tne stmr, O bs tne ucbversmj ahcstmct hl ormvbtmtbhc, mcf K bs tne kmss hl tne stmr tne dhfy bs hrdbtbco.
4" ;
4(1.=6=);
<.4>4
r ; =7 mstrhchkbamj ucbts
= mstrhchkbamj ucbt bs =.5E=1 ak
(=.5E=1 ak)(=7 mstrhchkbamj ucbts) ; (=.5E=6 ak)
r1; 1.1?5 E 64
O;<.<?4E-> (fyc ak squmref)/(o squmref)
r1
OK ;
1.1?5 E 64
(<.<?4 E ">)(?.1< E 11) ; <.>?E=5
<.>? E =5) ; >.1 E ? seahcfs
(>.1E? seahcfs)(<.4>4) ; 5.4E> seahcfs
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??
(5.4E> seahcfs)/(<7 seahcfs) ; >.<?E< kbcutes
(>.<?E< kbcutes)/(<7 kbcutes) ; =.665E5 nhurs
(=.665E5 nhurs)/(46 nhurs) ; <.745E1 fmys
(<.74E1E1 fmys)/(1<5.45 fmys) ; =<.6> emrtn yemrs
Vne hrdbt hl tne pjmcet mrhucf hur zerh kmocbtufe, speatrmj ajmss D, djue stmr bs =<.6>emrtn yemrs. Vne ajhsest hrdbtmj perbhf th tnbs bc hur shjmr systek bs tnmt hl Iupbter mt ==.><yemrs. Vnmt hl Qmturc bs 42.5 emrtn yemrs.
Qtmrs mre mpprhxbkmte djma`dhfy rmfbmthrs, wnere m djma`dhfy bs tnmt wnban mdshrds mjj
bcahkbco rmfbmtbhc, mcf ekbts tne kmxbkuk mkhuct hl rmfbmtbhc lhr bts tekpermture. _e
ms`, maahrfbco tne jmws hl djma`dhfbes, obvec tne jukbchsbty hl mc mdshjute kmocbtufe
zerh stmr, mcf bts surlmae tekpermture, wnmt bs bts rmfbus.
Vne ahjhr bcfex hl m stmr (D-\) =77 tbkes khre jukbchus tnmc tne suc bs hc mc N-T
fbmormk, -7.=4, wnban ahrresphcfs th kmcy mdshjute zerh kmocbtufe zerh stmrs, mcf
surlmae tekpermture hl =1,777 feorees @ejvbc. Vekpermture hl m stmr bs rejmtef th bts
phwer rmfbmtef per ucbt surlmae dy tne Qtelmc-Dhjtzkmcc jmw9
T
Ts
;
V s
V
"
# $
%
& ' 4
J
Js
"
# $
%
& '
=
4
_nere T bs tne rmfbus hl tne stmr, T sudsarbpt Q bs tne rmfbus hl tne suc, V sudsarbpt Q bstne tekpermture hl tne suc bc feorees @ejvbc, V bs tne tekpermture hl stmr bc feorees@ejvbc, J bs tne jukbchsbty hl tne stmr, mcf J sudsarbpt Q bs tne jukbchsbty hl tne suc.
_e nmve9
(5>77/=1,777)4(4.5=4
6.>1)
=
4;
(7.=22)(2.4) ; =.> shjmr rmfbb
_e nmve usef tne tekpermture hl tne suc 5>77 feorees @ejvbc mcf 6.>1 ‑ 7 ; 6.>1 wnere
6.>1 bs tne mdshjute kmocbtufe hl tne suc.
Hur mdshjute kmocbtufe zerh kmbc sequecae stmr bs =.> tbkes jmroer tnmc tne suc.
_e nmve smbf tnmt m stmr hc tne kmbc sequecae hl =77 shjmr jukbchsbtbes bs ajhse th mc
mdshjute kmocbtufe zerh stmr. Iust nhw ajhse bs bt8 _e use9
E=/E4 ; 4.5=4S-(7-6.>1) ; 4.5=4S6.>1
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?>
_nere E= bs tne jukbchsbty hl tne stmr, mcf E4 bs tne jukbchsbty hl tne suc, 6.>1 bs tnemdshjute kmocbtufe hl tne suc. Vnbs obves9
E= ; >5.545E4
Hr bc htner whrfs, mc mdshjute kmocbtufe zerh stmr bs >5.545 shjmr jukbchsbtbes. Vnbs bs
very ajhse th hur =77 shjmr jukbchsbtbes ahcsbferbco m stmr amc de khre tnmc m kbjjbhc
shjmr jukbchsbtbes
B dejbeve zerh kmocbtufe stmrs hc tne kmbc sequecae mre bkphrtmct, bl cht hll tne kmbc
sequecae, bc tnmt tney mre ahcceatef th hur stmr, tne suc, tnrhuon tne cukder hl cmturmjjy
haaurrbco ejekects, tne emrtn hrdbtmj perbhf, mcf tne mkhuct hl eceroy bt whujf tm`e th
khve tne emrtn lrhk tne suc th bts hrdbt. Quan stmrs, hr pjus hr kbcus hce kmocbtufe hl
drbontcess, mre hl speatrmj ajmss M th speatrmj ajmss D. Vney mre bkphrtmct deamuse tne suc
bs bkphrtmct, ms bt bs m stmr bc wnban m jble demrbco pjmcet, tne emrtn, nms lhrkef.
B dejbeve Qmturc bs bkphrtmct, deamuse bt bs mt mc hrdbtmj fbstmcae lrhk tne suc tnmt bs bc kyprhieatef nmdbtmdje zhce lhr m zerh kmocbtufe stmr, hc tne kmbc sequecae. Deamuse hl
tnbs, B leej bt bs ch ahbcabfecae tnmt Qmturc nms rbcos. _nmt we nmve nere, bc tnbs whr`, bs m
ajue th tne searet hl hrbobcs, bc pmrtbaujmr th tne struature tnmt mjjhws lhr jble.
Vne mdshjute kmocbtufe hl m stmr bs bts jukbchsbty mt m set fbstmcae lrhk tne hdserver,
wnban nms deec set mt =7 pmrseas. Hce pmrsea bs 1.4< jbont yemrs, wnere m jbont yemr bs tne
fbstmcae jbont trmvejs bc hce yemr, hr bc tne tbke bt tm`es tne emrtn th km`e hce revhjutbhc
mrhucf tne suc, bc htner whrfs. M pmrsea bs mjsh tne pmrmjjmx hl m stmr kemsuref dyfbspjmabco hcesejl dy mc mstrhchkbamj ucbt, wnere mc mstrhchkbamj ucbt bs tne mvermoe
fbstmcae hl tne emrtn lrhk tne suc, bc bts cemrjy abraujmr hrdbt. Vnbs ahrresphcfs th m
pmrmjjmx mcoje hl hce mra seahcf.
Ky dejbel bs bl yhu wmct th oet mt wnmt cmture bs, fhc‒t whrry mdhut debco rbont hc bc
kmcy mspeats hl whr`, deamuse bc mrt m abraje ucajhsef bs m abraje ajhsef dy tne ahcaept bc
mrt tney amjj ajhsure, m cmture hl tne wmy tne nukmc eye whr`s wbtn tne kbcf. Bs wnmt wemre seebco nere bs tne rhuon s`etan hl cmture, tne bfem.
_e nmve smbf mc mdshjute kmocbtufe zerh stmr nms >5.545 shjmr jukbchsbtbes mcf tnmt bt bs
ahcvecbect th amjj bt =77 shjmr jukbchsbtbes mt tbkes. _e mvermoe tne twh vmjues9
(>5.545+=77)/4 ; 24.?<45
Vnere mre exmatjy 24 cmturmjjy haaurrbco ejekects. Vnbs mvermoe bs extrekejy ajhse thtnmt. _e use tnbs lmat bc hur oecesbs prhieat.
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?2
Vne prhdmdbjbty hl km`bco c steps bc ebtner fbreatbhc lhrks m dejj snmpef aurve. Mlter =7
rmcfhkjy kmfe steps tne hffs hl ohbco chwnere bs nbonest mcf, bs represectef dy lbve bc
tne dejj aurve ahrresphcfbco th 7. Jet us rhucf tne fbstmcae hl Mjpnm Aectmurb th lhur
jbont yemrs, obvbco nukmcs tne decelbt hl tne fhudt. Vne cukder phsbtbve lhur bc tne dejj
ormpn nms wrbttec mdhve bt tne cukder ?. Qevec hut hl tec tbkes =77 lhr ellhrt obves m
?7% anmcae hl km`bco bt th tne stmrs wbtnhut deahkbco extbcat lbrst. B dejbeve tne peraect
ucferstmcfbco hl hur teanchjhobamj fevejhpkect thwmrfs nyperfrbve, wnere we nmve iust
ecteref spmae wbtn anekbamj rha`ets mcf fevejhpef lmst, ahkpmat, ahkputers, bs obvec dy9
_ C (c=) ;
C !
c=!c
4! p
c=qc4
Evmjumtef mt c=;?.
C bs =7 steps.
Mcf c= bs tne cukder hl steps thwmrfs Mjpnm Aectmurb, c4 tnhse mwmy lrhk bt.
Mcf, p bs tne prhdmdbjbty tnmt tne step bs thwmrfs Mjpnm Aectmurb, mcf q bs tne prhdmdbjbty
tnmt tne step bs mwmy lrhk Mjpnm Aectmurb.
C ; c= + c4
Mcf k ; c=-c4 bs tne fbspjmaekect
Mcf q+p;=
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>7
Vne trba` th usbco tnbs equmtbhc bs bc `chwbco tne phssbdje ahkdbcmtbhcs hl steps tnmt amc
de kmfe tnmt equmj =7. Jb`e lbve rbont, lbve jelt wbtn m fbspjmaekect hl 7 hr, =7 rbont, 7jelt wbtn m fbspjmaekect hl =7 hr, ? jelt, 1 rbont wbtn m fbspjmaekect hl ceomtbve 6.
Vh jmcf mt 6 jbont yemrs lrhk emrtn, wbtn =7 hce jbont yemr iukps, hce kust oh mwmy lrhk
Mjpnm Aectmurb 1 iukps hl m jbont yemr eman tnec ? iukps thwmrf bt hl hce jbont yemr eman,th jmcf hc bt, tnmt bs th jmcf mt +6, bts jhamtbhc. Qh c= bs ? mcf c4 bs 1. Vne prhdmdbjbty th
iukp mwmy lrhk tne stmr bs =/4 mcf tne prhdmdbjbty th iukp thwmrfs bt bs =/4. Vnmt bs p;=/4
mcf q;=/4. Vnere mre tec rmcfhk iukps, sh, C;=7.
Usbco hur equmtbhc9
(=7!)
(?!)(1!)(=
4)?(=
4)1;
1<4>>77
(5767)(<)
=
=4>
=
>;
=47
=746;
=5
=4>; 7.==?=>?5 " =4%
_e whujf de, dy tnbs remshcbco =4% mjhco bc tne fevejhpkect thwmrfs nyperfrbve.
Bmc Demrfsjey
Iuce 4772
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>=
Bcput9
Deobc Fmte9 Feaekder 4? =2<> => nhurs 5 kbcutes 1? seahcfs
Ecf Fmte9 Feaekder 4 47== 7 nhurs 4> kbcutes ? seahcfs
Ka@eccm smbf bc tne vbfeh hc yhutude tnmt tne fbps, hr vmjjeys, bc tne tbkewmve ormpnrepresect chvejtbes. Qh, B ajba`ef hc tne lbrst vmjjey mlter =2<2 sbcae tnmt bs tne yemr we
wect th tne khhc, mcf tne prhormk omve bts chvejty ms9
Qnejbm` Vbkewmve \mjue Lhr Vmroet9
7.7<4=
Hc Vmroet Fmte9 Muoust 6, =2<2 2 nhurs 51 kbcutes 1> seahcfs
B wms nmppy th see tnbs deamuse, B feterkbcef tnmt tne orhwtn rmte ahcstmct, `, tnmt rmte mt
wnban we prhoress thwmrfs nyperfrbve, bc ky amjaujmtbhc bc ky whr` MsbkhvbmcWrefbatbhc Lhr Nyperfrbve, tnmt omve tne fmte 4761, m yemr mlter Qberrm _mters wms nmcfeftne cewjy fbsahveref fhaukect tnmt stmrtef ner mfvecture bc Vne Wjht Vh Qmve Qharmtes,
dy Wmuj Jevbcshc, mcf m yemr delhre Bsmma Msbkhv nmf pjmaef tne bcvectbhc hl nyperfrbve
bc nbs dhh` B, Thdht, wms9
(`;7.7<4=)
Vne very smke cukder!!!
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>4
Esampe \ejhabty bs tne vejhabty mt wnban mc hdieat esampes tne ormvbty hl m dhfy cht
requbrbco lurtner prhpujsbhc. Bt bs wnec bts `bcetba eceroy pjus bts phtectbmj eceroy bs zerh.
=
4kv
4;
OKk
r
v ;OK
r;==.4`k /s ; <.2<kb /s
(==.4)(=777)(=77) ; =,=47,777 ak
=,=47,777ak/s;4,267ak/s+1,416ak/s t
=,==?,7<7;1,416t
t;165.6= seahcfs ; 5.?5<> kbc ; 7.7252 nhurs
x ; 4,267(165)+=/4(1,416)(165)S4 ;=7,=6177 + =246<1645 ; =216???45; =216???.45 ; =,216.???45 `k ~ =,215 `k
Mt =47`k mtkhspnerba elleats deahke chtbaemdje th spmaearmlt. _e mre wejj deyhcf tnmt.=<.=45 tbkes lurtner hut.
Vnus, tne Urmcus Equmtbhc amrrbes m snbp th esampe vejhabty bc 5.?5<> kbcutes. Vnmt‒s
7.?5<>(<7) ; 65.67>
5 kbcutes 65 seahcfs
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>1
RN_N, Bsntmr, Mcf Vne Ceptuce Equmtbhc
Dy Bmc Demrfsjey
Ahpyrbont © 47=4 dy Bmc Demrfsjey
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>6
Vne Bkphrtmcae Hl ?.4 Bc Vne Ceptuce Equmtbhc
Bkmobce ky surprbse wnec Fhvbf @rmlanhw (Vne Iewbsn Dhnekbmc) smbf ‑ tmj`bco mdhut
nbs dhh` 47=4 Mcf Vne Amdmjm -- tnmt \ecus wms ohbco th trmcsbt tne suc lhr sbx kbcutes
hc tne sbxtn hl Iuce (47=4) wnban bs tne sbxtn hl Qbvhc wnban bs tne smke fmy tne Iewbsn
pehpje reaebvef tne Vhrmn, mdhut 1577 yemrs moh deamuse ky Ceptuce Equmtbhc bs dmsefmrhucf \ecus aremtbco tne kujtbpjber hl ?.4, mcf @rmlanhw lurtner phbctef hut tnmt ?4 bs
tne nbonest oekmtrbm lhr tne cmke hl tne Ohf hl Bsrmej, RN_N.
Lhr khctns tnmt prehaaupbef, ky kbcf ms th wnmt bt kemct, uctbj tne cext ajue amke. Bjemrcef delhre tne Iews reaebvef tne Vhrmn, tney were Mkhrbtes hl Qyrbm mcf Amccmc wnh
evectumjjy kbormtef th Keshphtmkbm (Brmq) th jbve bc tne M``mfbmc Ekpbre wbtn tne
Qukerbmcs. Bt whujf seek tne Qukerbmcs hl Cbceven whrsnbpef Bsntmr. _ny bs tnmt
bkphrtmct th mjj hl tnbs8 B wrhte tne lhjjhwbco9
Vne Ahcstmct hl Cbceven, wnban wms bc Mcabect Qukerbmc Aucblhrk tmdjets wmsreahocbzef th de, dy Kmurbae Anmtejmbc, wnh wms bc anmroe hl fevejhpbco tneahkkucbamtbhc systeks lhr tne Mphjjh Kbssbhcs (jmcfbco hc tne khhc), tne jhcoshuont mlter cukder tnmt whujf fesarbde every ayaje bc tne shjmr systek, nmsverblbef ky Ceptuce Equmtbhc. B lbcf tnbs bcterestbco deamuse bc tne MssyrbmcTejbobhc (Msnurbsk), Bsntmr represects \ecus, mcf wms tne pmtrhcess hl Cbceven,wnere tne ahcstmct wms lhucf. \ecus bs tne kujtbpjber hl ?.4 bc ky CeptuceEqumtbhc, wnban ahkes lrhk tne rmtbh hl vecus hrdbt th emrtn hrdbt kujtbpjbef dytne kmss hl emrtn fbvbfef dy tne kmss hl tne kmrs. Lurtner tne jmtter rmtbh bs =7 shtne lhrker bs 7.?4. Chw Kmurbae Anmtejmbc nms kmfe tne ahkpejjbco mroukect bcnbs dhh` Hur Ahskba Mcaesthrs, tnmt tne Qukerbmcs ahujf cht nmve ferbvef tnbscukder, tnmt khferc kmtnekmtbabmcs jhh`ef lhr mcf ahujf cht lbcf, dut tnmt bt nmfth de obvec th tnek dy ohfs hr mstrhcmuts. Ne km`es tne mroukect tnmt we mre tne
fesaecfmcts hl mcabect mstrhcmuts. Ne lurtner suooests kmcy hl hur Ohfs nmveshketnbco th fh wbtn tnese Mcabect Mstrhcmuts, wnh omve us teanchjhoy suan msketmjjuroy mcf sh hc.
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>5
Iust wnmt bs Vne Cbceven Ahcstmct mcf nhw fhes bt verbly ky Ceptuce Equmtbhc8 Nere bswnmt B wrhte bc ky snhrt sthry M Fbstmct Eanh Lrhk Vne Wmst9
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><
Anmpter Ebont9 Mc Eanh Lrhk Vne Fbstmct Wmst
Nmc` set up amkp bc tne Tha`y Khuctmbcs. Nbs ouess tnmt dbo mcteccms wmbtbco lhr
kessmoes lrhk Mjbecs tnmt jelt lhr tnebr festbcmtbhc nucfrefs th tnhusmcfs hl yemrs moh,
hcjy th mrrbve mt emrtn chw wms cht tne mpprhman th tm`e. Ne lbouref ne whujf iust nmve
th set up nbs rmfbh reaebver, wnban wms ahcceatef th nbs jmpthp, th reaebve m kessmoe sectbc presect tbkes lrhk cemrdy, jb`e emrtn hrdbt, hr m jmcfef snbp.
Vnmt kessmoe lbcmjjy amke mlter lhur cbonts hl amkpbco hut. Bt wms drhmfamst hc nbs
jmpthp sareec ms lhjjhws9
?52 mcf 2/5 yhu mre speabmj
Ahcsbfer9
<<2 th <4< DA
Jbdrmry hl @bco Mssurdmcbpmj bc CbcevenMssyrbmc TubcsMcabect Qukerbmc Ajmy Auceblhrk Vmdjets
Examvmtef mt tne sbte hl @uyucib`
Cbveven Ahcstmct9=25,255,477,777
Ahkkhc fechkbcmthr bc mjj aejestbmj ayajes th lhur pjmaes mlter tne feabkmj, bc seahcfs.
Lwf tnbs kessmoe th9 Bmc Demrfsjey relerrbco th Vne Kystery Jmtect Bc Vne WrbkhrfbmjHrbobcs Hl Nukmc`bcf
Qbcaerejy, m deyhcf emrtn bctejjboecae
Nmc` smbf mjhuf th nbksejl9 ‚_nh bc tne nejj bs Bmc Demrfsjey8‛
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>?
Anmpter Cbce9 M Fbstmct Eanh Lrhk Vne Wmst
Vne mutnhr hl tnbs chvej, wnh wrhte tne dhh`9 Vne Kystery Jmtect Bc Vne Wrbkhrfbmj
Hrbobcs Hl Nukmc`bcf, kectbhcef bc tnbs chvej severmj tbkes, nms reaebvef mc e-kmbj
lrhk nbs anmrmater, Nmc` _bjfderry9
Vh9 Bmc Demrfsjey
Fhc‒t ms`, iust km`e tne lhjjhwbco amjaujmtbhcs9
(Cbceven Ahcstmct)/x ; Iupbter Werbhf Bc Remrs
(Cbceven Ahcstmct)/x ; Qmturc Werbhf Bc Remrs
Qbcaerejy, Nmc` (_bjfderry)
Bmc Demrfsjey `cew wnmt tne Cbceven Ahcstmct wms. Ne nmf sect nbs whr` th Cebj Lreer,mutnhr hl Drem`bco Vne Ohfspejj, mcf ne wrhte dma`9
Imc 4=, 47=4
‚Rhur stull bs lmsabcmtbco. Chw tnmt B mk whr`bco ky wmy tnrhuon bt B
remjbze tnmt B snhujf amjj th yhur mttectbhc tne whr` hl Kmurbae Anmtejmbc,
feaemsef, `eep kbcf, lrbecf lrhk Qmc Fbeoh, see nbs dhh` Hur Ahskba
Mcaesthrs, anmpter amjjef Vne Cbceven Ahcstmct, pmrtbaujmrjy pmoe 42.‛ Bmc nmf jemrcef tnmt Kmurbae Anmtejmbc wms tne fbreathr hl dubjfbco tne
ahkkucbamtbhcs systeks lhr tne Mphjjh Kbssbhcs (Kbssbhc th tne Khhc)
mcf nmf fbsahveref tne Cbceven Ahcstmct bc Mcabect Qukerbmc auceblhrk
ajmy tmdjets. Ne wms mkmzef tnmt tnese mcabect pehpje `cew hl suan m
cukder, deamuse, ms ne wrhte9
‚…Every perbhf hl revhjutbhc hr ahciucatbhc hl mjj tne shjmr systek dhfbes
amjaujmtef dy tne Ahcstmct hl Cbceven ahrresphcfef exmatjy fhwc th severmj
feabkmj phbcts wbtn tne vmjues obvec bc tne khferc tmdjes hl Ucbtef Qtmtes
mstrhchkers…‛
‚B nmve cht deec mdje th lbcf evec m sbcoje perbhf hl revhjutbhc, hrahciucatbhc hl m shjmr systek pjmcet hr smtejjbte, tnmt whujf cht de mcexmat lrmatbhc fhwc th tne lhurtn feabkmj phbct hl tne Oremt Ahcstmct hl tne Qhjmr Qystek.‛
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>>
Qh Bmc kmfe tne amjaujmtbhcs9
Qeahcfs bc m yemr9 1=,55<,24<
Iupbter yemr ; ==.>< yrs
Qmturc yemr ; 42.? yrs
Iupbter ; 1?6,4<5,=64 seahcfsQmturc ; 21?,467,?74 seahcfs
Cbceven Ahcstmct ; =25,255,477,777
^ lhr Iupbter ; =25.2554E2/1?6,4<5,=64 ; 546
^ lhr Qmturc ; =25.2554E2/21?,467,?74 ; 472
Maahrfbco th tnehry, ms Bmc ucfersthhf bt, tnese jmst twh resujts snhujfde nmrkhcba.
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>2
Anmpter =79 M Fbstmct Eanh Lrhk Vne Wmst
Vh lbcf tne nmrkhcbas hl tne Cbceven kujtbpjbers lhr Iupbter mcf Qmturc, ne thh` tnebr
squmre rhhts (oehketrba kemcs) wbtn tne resujts9
Iupbter9 sqrt(546) ; 44.2 ~ 41Qmturc9 sqrt(472) ; =6.65<> ~ =6
41 wms tne tnbrf cukder bc nbs sequecae9
5,=6,41,14,6=,…
mcf =6 wms tne seahcf, lrhk wnban nbs Ceptuce equmtbhc wms ferbvef (bc Vne KysteryJmtect Bc Vne Wrbkhrfbmj Hrbobcs Hl Nukmc`bcf).
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Anmpter Ejevec9 M Fbstmct Eanh Lrhk Vne Wmst
Nmc` _bjfderry nmf deec amkpef hut bc tne Tha`y Khuctmbcs lhr hcjy lhur fmys mcf ne
nmf mjremfy reaebvef m kessmoe lrhk Mjbecs. _nmt bs khre, tnhse mjbecs nmf sect nbk ms
wejj m trmcskbssbhc lrequecay mcf fbreatbhc (mppmrectjy tney were fbreatjy hvernemf bc
oehaectrba hrdbt) mcf ne nmf dubjt mcf drhuont mjhco, m phrtmdje trmcskbtter hl nbs hwcahcstruatbhc. Cht hcjy ahujf ne reaebve kessmoes lrhk tnese mjbecs, ne ahujf secf
kessmoes th tnek. Ne nmf kmfe ahctmat.
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2=
Anmpter =49 M Fbstmct Eanh Lrhk Emrtn
Nmc` drh`e fhwc amkp mcf wect th m skmjj khuctmbc thwc fbcer wnere ne nhh`ef up th
tne bctercet. Ne anea`ef nbs e-kmbj mcf lhucf tnere wms hce tnere lrhk Bmc. Ne hpecef
bt mcf lhucf9
Nmc`9
Vne Cbceven Ahcstmct ybejfs9
Iupbter9 sqrt(546) ; 44.2 ~ 41
Qmturc9 sqrt(472) ; =6.65<> ~ =6
41 bs tne tnbrf cukder bc nbs sequecae9
5,=6,41,14,6=,…
mcf =6 bs tne seahcf, lrhk wnban nbs Ceptuce equmtbhc bs ferbvef (bc Vne Kystery JmtectBc Vne Wrbkhrfbmj Hrbobcs Hl Nukmc`bcf).
Bmc
Nmc` wrhte dma`, Bmc fhc‒t yhu see8 Qtmrt wbtn Iupbter mcf Qmturc deamuse tney mre tne
jmroest pjmcets bc tne shjmr systek. Qmturc bs mt cbce ucbts lrhk tne Quc mt bts ajhsest
mpprhman mcf Iupbter mt lbve. Vnmt bs m rmtbh hl cbce-lbltns. Rhu yhursejl smbf bt bs bc tnekhjmr kmss hl ohjf th tne khjmr kmss hl sbjver mcf bc tne rmtbh hl tne shjmr rmfbus th tne
jucmr hrdbtmj fbstmcae, cht th kectbhc bc m very phpujmr (bl cht khst phpujmr) mrrmcoekect
hl petmjs mrhucf m ljhwer, mkhco htner tnbcos. Dut Qmturc mt cbce mcf Iupbter mt lbvekystbamjjy puts tne Emrtn mt hce ucbt lrhk tne suc9 Vne twh jmroest pjmcets bc tne shjmrsystek phbct th tne Emrtn, tnrhuon ohjf mcf sbjver, suc mcf khhc, ljhwer petmj
mrrmcoekects,.. Vne tnbrf cukder bc yhur sequecae lrhk wnban yhur Ceptuce equmtbhc
wms ferbvef bs 41. Vnmt bs m twh mcf m tnree9 \ecus bs tne seahcf pjmcet hut lrhk tne suc,
emrtn tne tnbrf. Emrtn bs ahupjef wbtn \ecus. Rhu nmve smbf \ecus bs m lmbjef emrtn. Qhemrtn amc lmbj. Nhwever tne seahcf cukder bc yhur sequecae, wnban whujf represect
\ecus (\ecus debco tne seahcf pjmcet lrhk tne Quc) bs =6. Rhu nmve snhwc tnmt =6 bs
tne sepmrmtbhc detweec Iupbter mcf Qmturc (wnere hce bs tne emrtn-suc sepmrmtbhc) mcf
tnmt, wbtn Iupbter khre kmssbve tnmc Qmturc, th dmjmcae tnek hc m teeter thtter wbtn jecotn=6, tne lujaruk whujf de mt mdhut Kmrs hrdbt (=.5 emrtn suc sepmrmtbhcs lrhk Iupbter). Qh
tnbs smys wnbje Emrtn amc lmbj, Nukmcs amc suaaeef dy wmy hl Kmrs. Rhu wrhte9
‚_e nmve mc equmtbhc lhr m sequecae tnmt snhws tne Emrtn strmffjef detweec \ecus mcfKmrs. \ecus bs m lmbjef Emrtn. Kmrs prhkbses th de Cew Emrtn. Vne equmtbhc, tnmt B
presectef bc ky whr`, ‚Vne Fhaukect‛, bs9
P(\ecus-hrdbt)/(Emrtn-hrdbt)[P(Emrtn-kmss)/(Kmrs-kmss)[c ‑ (Kmrs hrdbtmj #) ; mXc
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Vne Kmrs hrdbtmj cukder bs 6. Bl we wmct th `chw wnmt pjmcet bc tne shjmr systek nhjfs
tne `ey th tne suaaess hl Emrtn, hr th tne suaaess hl nukmcs, we jet c ;1 sbcae tne Emrtn bstne tnbrf pjmcet hut lrhk tne Quc, bc tne equmtbhc mcf tne resujt bs mXc ; =?.<. Vnbs kemcs
tne pjmcet tnmt nhjfs tne `ey bs Ceptuce. Bt nms m kmss hl =?.41 emrtn kmsses, m cukder
very ajhse th hur =?.<. Vne cext step bs th mcmjyze Ceptuce, bts ahkphsbtbhc mcf htner
lmathrs.‛
‚Cht hcjy wms Ceptuce tne bcfbamtef pjmcet, ne lhucf bt nmf cemrjy tne smke surlmae
ormvbty hl emrtn. Vnhuon bt wms kuan khre kmssbve tnmc emrtn, bt wms kuan jmroer mcf
tnerelhre jess fecse. Vnmt wms wny bt amke hut th nmve tne smke surlmae ormvbty.‛
Bc htner whrfs, Bmc, tne Cbceven Ahcstmct verblbes yhur Ceptuce Equmtbhc, mcf expjmbcs
ajemrjy wnmt tne Qhjmr Qystek bs smybco. Kmrs bs Vne Ahskba Lujaruk ms yhu amjjef bt,
wnec yhu wrhte9
B nmve lhucf khre remshc tnmt tne pjmcet Kmrs represects tne suaaess hl
nukmc`bcf bc tnbs pmssmoe9
Oectjekec, lurtner, Kmrs bs Cew Emrtn. B nmve fhce tnbs9
_e `chw tnmt 2/5 haaurs bc kmcy kysterbhus wmys bc cmture, bcajufbco Qmturc‒s fbstmcae
lrhk tne suc hl 2 (ajhsest mpprhman) puttbco Iupbter‒s mt lbve (ajhsest mpprhman), mcf tne
emrtn mt hce. Jet us ahcsbfer m dmjmcae. Bl twh webonts hl equmj kmss mre pjmaef hc
hpphsbte ecfs hl m dmjmcae, tnec th de dmjmcaef tne lujaruk kust de pjmaef mt tne aecter.Dut bl hce kmss bs bcaremsef, tnec tne lujaruk wbjj nmve th de khvef ajhser th tne nemvber
ecf bl tne dmjmcae bs cht th tbp. Vnbs bs tne Jmw hl Jevers. Bt stmtes tnmt tne kmsses mre
bcversejy prhphrtbhc th tnebr fbstmcaes lrhk tne lujaruk. Vh wrbte bt kmtnekmtbamjjy,
K=/K4;J4/J=
Hr, equbvmjectjy
(K=)(J=);(K4)(J4)
Bl we ahcsbfer tne tbke wnec Qmturc mcf Iupbter, tne twh khst kmssbve dhfbes bc tne shjmrsystek mre bc hpphsbtbhc, tnmt bs wnec tney mre hc hpphsbte sbfes hl tne suc mcf lmabco hce
mchtner, tnec dy tne mdhve bclhrkmtbhc tney mre sepmrmtef dy =6 ucbts. Iupbter bs 1.16
tbkes ms kmssbve ms Qmturc. Dy hur jmw hl jevers mdhve, tnmt kemcs
J=/J4;1.16
J=+J4;=6
Vnus
6.16J4;=6 mcf
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J4;1.445>
=6-1.44;=7.??;J=
Kmrs hrdbtmj fbstmcae bs =.5
Vne smturc-lujaruk fbstmcae kbcus tne kmrs hrdbtmj fbstmcae bs9 =7.??-=.5;2.4~2 bs
smturc‒s ajhsest mpprhman th tne suc.
Kmrs, tnec, bs tne ahskba lujaruk. Bt bs tne hce pjmcet whrtn terrmlhrkbco lhr
ahjhcbzmtbhc. Bt bs tnec mjbocef ketmpnysbamjjy wbtn bts pnysbamj anmrmaterbstbas.
Bmc, ms yhu `chw B fhwcjhmfef tnbs fhaukect (Vne Kystery Jmtect Bc Vne WrbkhrfbmjHrbobcs Hl Nukmc`bcf) tnmt yhu kmfe mvmbjmdje mt Bssuu mcf Qarbdf. B `chw yhu leej bt
snhujf de fbsaussef mcf resemranef, wnban bt nms cht, deamuse tne suaaess hl nukmcs
kbont fepecf hc bt… Dut Nejj, tnere mre pehpje bc Ahcoress wnh bochre Imkes Nmcsec,tne whrjf‒s lhrekhst mutnhrbty hc ajbkmte anmcoe, wnec ne wmrcs we ahujf experbecaeamtmstrhpnba ajbkmte anmcoe bl we fhc‒t anmcoe hur wmys. Nhw whujf yhu jb`e bt bl B thjf
yhu rest emsy, deamuse B mk bc ahkkucbamtbhc wbtn Mjbecs mcf tney nmve requestef B
demk yhur whr` th tnek. Qh evec bl we oh extbcat, tney nmve yhur whr`, mcf tney nmve
smbf tney amc use bt, deamuse bt bs ms Imkes Jhvejha` smbf, mcf khre, Emrtn bs cht iust jb`em obmct hromcbsk wnere everytnbco hc bt bs m lucatbhcbco pmrt hl tne hromcbsk, dut tne
ectbre ucbverse bs, mcf, tney ceef yhur fbsahvery mdhut hur shjmr systek deamuse hur shjmr
systek bs m pmrt hl tne superombm, tne obmct hromcbsk jb`e struature tnmt bs tne ucbverse.
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B snhujf kectbhc B refuaef tne Cbceven Ahcstmct dy m lmathr hl =777. B wrhte bc ky dhh`
Vne Oecesbs Nyphtnesbs9
Hc Ky Tefuatbhc Hl Vne Cbceven Ahcstmct Dy M Lmathr Hl =777
Vnmt kmrvejhus ahcstmct, tne cbceven ahcstmct, tnmt jhco shuont mlter oremt ahcstmct hl tneshjmr systek, wnban wms semranef lhr dy khferc kmtnekmtbabmcs wbtnhut suaaess, hcjy th
de lhucf wrbttec hut bc mcabect sukerbmc auceblhrk ajmy tmdjets, mcf remjbzef th de ms
suan dy Kmurbae Anmtejmbc, fbreathr hl ahkkucbamtbhcs fevejhpkect lhr tne mphjjh
kbssbhcs, tnmt B lhucf verblbef ky Ceptuce Equmtbhc bc ky sthry, M Fbstmct Eanh LrhkVne Wmst, B snhujf smy B refuaef tne ahcstmct dy m lmathr hl =777, wnban B whujf jb`e th
phbct hut hcjy khves tne feabkmj phbct bc tne amjaujmtbhcs mcf fhes cht anmcoe tne
kmrvejhus cukerbamj vmjues. Tefuabco bt dy m lmathr hl m tnhusmcf put ky amjaujmtbhc bc
tne rmcoe hl ky sequecae lhr tne pjmcets. Ms Anmtejmbc phbctef hut, tne Mcabect Kmymcs`cew tne oremt ahcstmct, dut expressef bt bcaremsef dy m lmathr hl <5.
B lurtner wrhte bc tne smke dhh`9
Bt bs prhdmdjy amjjef ‚Vne Cbceven Ahcstmct‛ deamuse Cbceven shucfs jb`e Cbce mcf 41 bs
tne cbctn prbke cukder wnban represects tne pjmcet Iupbter, tne jmroest, khst kmssbve
pjmcet bc tne shjmr systek, tnrhuon tne Cbceven ahcstmct.
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Hc Vne 47=4 \ecus Vrmcsbt
_nec B smy Fhvbf @rmlanhw (Vne Iewbsn Dhnekbmc) smys tnmt \ecus wbjj eajbpse tne suchc tne sbxtn hl Iuce bc 47=4, wnban bs tne sbxtn hl Qbvhc, wnban bs tne fmy tne Iewsreaebvef tne Vhrmn, B whujf jb`e th km`e ajemr tne trmcsbt wms mjsh hc tne lbltn. Bt fepecfshc yhur tbke zhce. B whujf mjsh jb`e th smy ms B ucferstmcf bt, tne trmcsbt jmstef sbx nhurs,
dut lrhk tne tbke zhce ne wms ahcsbferbco, wnere bt haaurs hc tne sbxtn, bt kmy de tnmt btwms hcjy vbsbdje lhr sbx kbcutes deamuse tne suc set delhre bt ahujf ahkpjete. B whujfjb`e th smy Qbvhc bs m khctn bc tne Iewbsn amjecfmr mcf tnmt 47=4 wms hce tnehretbamj ecflhr hce Kmymc Amjecfmr. Vne bkphrtmct tnbco, wnere ky whr` bs ahcaercef, bs tnmt tnetrmcsbt hl \ecus wms hc tne bcterseatbhc hl Iuce < mcf < hl Qbvhc, hc tne fmy tne Nedrewsreaebvef tne thrmn bc 47=4, mcf hl ahurse nbs nbonest oekmtrbm lhr RN_N debco ?4,deamuse \ecus, ms B nmve expjmbcef bs bkphrtmct th ky Ceptuce Equmtbhc, mcf deamuse hl tnmt ?4, ms B nmve expjmbcef bc ky dhh`, RN_N, Bsntmr, Mcf Vne Ceptuce Equmtbhc. Bwhujf jb`e th phbct hut tnmt seahcfs, kbcutes, mcf nhurs mre bkphrtmct fbvbsbhcs hl tbkedeamuse tney mre dmsef hc aejestbmj perbhfs mcf tne Cbceven Ahcstmct wrbttec bc McabectQukerbmc Ajmy Auceblhrk tmdjets bs bc seahcfs. Kmurbae Anmtejjmbc phbcts hut bc HurAhskba Mcaesthrs tnmt we kust nmve nmf tne ucbts hl seahcfs th kemsure tbke sbcaemcabect tbkes. Kbcutes mre bkphrtmct deamuse tney mre eman <7 seahcfs mcf nhurs mre
bkphrtmct deamuse tney mre eman <7 kbcutes.
Bmc Demrfsjey
Iuce =>, 47=4
Ohfs Hl Ljesn Mcf Djhhf Mcf Hce Deyhcf Nukmc Ucferstmcfbco
Kmurbae Anmtejjmbc nms cht deec tne hcjy pershc th suooest tnmt hur Mcabect AhskbaMcaesthrs lrhk htner whrjfs omve hur teanchjhoy th us, dut tne bctejjboecae mcmjyst DhdFemc nms smbf tne smke. Bc lmat dhtn nmve smbf tney omve us suan tnbcos ms hur Ohfs.Kmurbae Anmttejmbc wms bc anmroe hl fevejhpbco tne ahkkucbamtbhcs systeks mcfahkputers lhr Vne Mphjjh Kbssbhc, khre tnmc hce hl wnban jmcfef nukmcs hc tne khhc,mcf Dhd Femc wms mssbocef th tne _mr Thhk bc Lrmcae.
Bt bs ch whcfer tnmt tne Cbceven Ahcstmct, fbsahveref dy Anmtejjmbc th de tne oremt
ahcstmct hl tne shjmr systek, wms ucemrtnef bc Keshphtmkbm mt tne Jbdrmry hl @bcoMssurdmcbpmj bc Cbceven. Bt seeks th prhvbfe shke `bcf hl supphrt lhr tne vmjbfbty hl kyCeptuce equmtbhc. B nmve mjremfy tmj`ef mdhut tnmt. Vnmt wnban B whujf jb`e th smy bstnmt tne Mssyrbmcs hl tnbs pjmae whrsnbpef tne Ohfs9
Vne Khhc (Qbc)Vne Quc (Qnmkmsn)Iupbter (Kmrfu`)\ecus (Bsntmr)
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2<
Qmturc (Cbcurtm)Keraury (Cmdu)Kmrs (Ceromj)
Mcf ms suan were pernmps pmybco trbdute th ljesn mcf djhhf ectbtbes lrhk htner whrjfstnmt omve tnek sabecae. Mcf tnmt tne Mkhrbtes were bcljuecaef th mdmcfhc tne lhjjhwbco
hl, lhr hce Ohf (RN_N) th whrsnbp tnmt, wnban wms cht hl ljesn mcf djhhf dut tnmtwnban represectef everytnbco uc`chwc, pernmps evec th tnhse mfvmcaef abvbjbzmtbhcstnrhuonhut tne Omjmxy, bl cht tne Ucbverse9
Jju (Q`y)Mtbrmtu (Uc`chwc)Mttmrtu (Lertbjbty)Nmffu/Nmfmfu (Qthrk)Qmksu (Quc Ohfess)_mrbnu (Khhc Ohf)
Mcf ms suan phjytnebsk mcf khchtnebsk whujf ahcveroe uphc Keshphtmkbm.
Bmc DemrfsjeyKmy 1=, 47=4
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2?
Fmtbco Vne Ahcstmct Hl Cbceven
Vne ahcstmct hl Cbceven fmtes th m tbke jhco delhre tne exbstecae hl tne Mssyrbmc Jbdrmry
hl @bco Mssurdmcbpmj (<<2 DA ‑ <4< DA). Bt wms wrbttec hc hce hl tne kuan hjfer Ajmy
Qukerbmc Auceblhrk Vmdjets, m ahjjeatbhc hl wnban ne nmf tnhusmcfs. Kmurbae
Anmtejjmbc fhes shke mkmzbcojy ahcvbcabco tnehrbzbco tnmt puts tne moe hl tne oblt hl tneahcstmct th us mt <5,777 yemrs. Rhu ouessef bt, tnmt kemcs we were obvec mfvmcaef
kmtnekmtbas dy mstrhcmuts lrhk wnban we fesaecfef delhre we were nhkh smpbecs, dut
shketnbco pernmps jb`e nhkh ereatus anbppbco sthces!
Dut B lbcf bt kuan khre remshcmdje, bl we nmve th ahcceat m fmte th tne ahcstmct ahkbco
bcth hur nmcfs th oh dma` th mchtner tbke9 Vne dbrtn hl morbaujture, wnban we amccht
mssboc th m preabse dbrtn fmte, ms bt ormfumjjy thh` nhjf hver tnhusmcfs hl yemrs, tnhuon we
amc mssboc th bt m pjmae, mcf tnmt whujf de mrhucf tne wnere tne jbdrmry wms,Keshphtmkbm, mcf we ahujf estbkmte tnmt th de mrhucf shke =4,777 yemrs moh.
_btn tne dbrtn hl morbaujture amke rejbobhc. _nbje tne Mkhrbtes amke th tnbs jmcf hl tnephjytnebsk hl Msnurbsk, tney were th mdmcfhc tnebr hwc whrsnbp hl kmcy ohfs mcfreturc th Amcmmc ucfer Mdrmnmk th ‚km`e m oremt cmtbhc hl nbs seef‛. Vne maaeptef
tnehry bs, tnhuon, tnmt tne Vhrmn wms wrbttec dy tne Iews bc Dmdyjhcbmc exbje. Vnbs wms bc
tne smke mrem ms tne jbdrmry hl @bco Mssurdmcbpmj, mcf mrhucf tne smke tbke (aeram <77
DA).
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2>
Keshphtmkbm Mcf Eoypt
Bc sh lmr ms Keshphtmkbm wms tne perleat pjmae lhr nucters mcf omtnerers th settje mcf
deobc morbaujture deamuse bt nmf yemr rhucf suc mcf wmter, B dejbeve lrhk ky
mstrhchkbamj amjaujmtbhcs jmbf hut bc tnbs pmper tnmt everytnbco nms shketnbco th fh wbtn
Keshphtmkbm, wnetner hr cht yhu jhh` mt tne tbke Kmurbae Anmtejjmbc phbctef us th<5,777 yemrs moh lhr tne oblt th us hl tne Cbceven Ahcstmct hr ky dejbel tnmt pernmps tne
oblt wms obvec th us =4,777 yemrs moh mrhucf wnec morbaujture deomc, hr we see m
sbocblbamct tbke hl wnec @bco Mssurdmcbpmj nmf nbs jbdrmry bc Cbceven mcf tne Iews were
wrbtbco tne Vhrmn bc tne Dmdyjhcbmc Ekpbre mt tne smke tbke bc tne smke reobhc mrhucf<77 DA. Vnere bs strhco lrhk Anmtejjmbc mcf N..O. _ejjs tnmt Eoypt snhujf de
ahcsbferef aruabmj th wny mcf nhw nbsthry uclhjfef ms wejj.
Bmc Demrfsjey
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Vne Nedrews mcf Vne Qukerbmcs bc Keshphtmkbm
Bl hce remjjy jhh`s mt bt, Keshphtmkbm wms lbrst set up bcth abty-stmtes dy
Qukerbmcs, wnh shke shuraes whujf smy amke lrhk Bderbm, htners, lrhk
Bcfbm. _nmtever tne amse, tney were bcvmfef dy Qekbtba Chkmfs wnh set up
tne M``mfbmc Ekpbre. Nhwever, Qukerbmc aujture evectumjjy thh` nhjf
mombc wbtn bts systek hl wrbtbco, mcf abvbjbzef aujture, hl wnban tne
M``mfbmcs jemrcef. Bt whujf seek chw tnmt tnbs pjmae hl Qukerbmcs mcf
M``mcfbmcs were bcvmfef mombc dy Qekbtba Chkmfs, tnbs tbke tne Mkhrbtes.
Bc m secse hce ahujf smy tne Nedrews were hl tne smke oecetba stha` ms tne
M``mfbmcs mcf tne Mkhrbtes. Kmurbae Anmtejjmbc tejjs us bc Hur Ahskba
Mcaesthrs, ch hce remjjy `chws wnmt tne hrbobcs hl tne Qukerbmcs were, dut
tney were tne shurae hl tne Cbceven Ahcstmct, wrbttec hc tnebr ajmy tmdjets,
wnban bs tne jhco shuont mlter Oremt Ahcstmct Hl Vne Qhjmr Qystek. Bt
fesarbdes perbhfs mcf ahciucatbhcs hl aejestbmj hdieats, wnban hcjy amke thde `chwc th Khferc Mstrhchky, mcf ne bs lhraef th ahcajufe tnmt bt nmf th
ahke th tnek lrhk ohfs hr mstrhcmuts.
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Vne Dhjf Qtmtekect
@ey th abvbjbzmtbhcs tm`bco nhjf wms tne settjbco hl wmcferer omtnerers mjhco rbvers bcsuccy jmcfs th lmrk mcf ms N.O. _ejjs phbcts hut tnbs lbrst fevejhpef, pernmps bc pmrmjjej,bc Keshphtmkbm mcf Eoypt (Vne Hutjbce Hl Nbsthry). Ne expjmbcs tney nmppecef kuanfbllerectjy bc tne twh pjmaes. Keshphtmkbm seeks th de m sthry hl tne Qukerbmcs stmrtbco
abvbjbzmtbhc, mcf tnere debco m serbes hl bcvmsbhcs, lrhk chkmfs, lmjjbco ucfer lresnbcvmsbhcs dy cew chkmfs uctbj mc Ekpbre bs lhrkef ucfer Qmrohc B, wnbje bc Eoypt wesee tnek prhteatef lrhk mjj lhur sbfes dy feserts mcf haemcs resujtbco bc m prhoressbhc hl Fycmstbes.
Vnere seeks th nmve deec twh fbllerecaes whrtn chtbco bc tnebr teanchjhobes (fbllerecaesmre wnmt we mre bcterestef bc, ms B snmjj expjmbc)9 _nbje Keshphtmkbm nmf ch whr`mdje
sthce tnebr nmdbtmtbhcs were dubjt hl ajmy drba`, mcf Eoypt nmf pjecty whr`mdje sthce sh
tnebr nmdbtmtbhcs were dubjt hl sthce mcf whhf. Vne htner bs tnmt Qukerbmc auceblhrk wms
prbctef bc ajmy tmdjets mcf Eoyptbmcs usef drusnwhr` hc pmpyrus, tne hrbobc hl pmper.Vne systeks hl wrbtbco were fbllerect ms Eoyptbmcs usef pbatures th lhrk whrfs
(Nberhojypns), mcf B ouess tne Qukerbmcs nmf shketnbco khre jb`e mc mjpnmdet. Delhre
tnebr fycmstbes, B whujf kectbhc nmdbtmtbhcs were cht hl sthce, dut were ormss nuts.
Kmurbae Anmtejjmbc obves m ahkpejjbco mroukect tnmt mcabect pehpjes reaebvef tnebr
teanchjhobes lrhk mcabect mstrhcmuts mcf hce kbont smy tnmt bs wnmt Mrtnur A. Ajmr`e mcf
Qtmcjey @udrba` mre suooestbco bc 477=9 M Qpmae Hfyssey wnec m khchjbtn bs pjmaef
mrhucf m trbde hl prbkbtbve mpes wnh seek th de obvec dy bt, tne bfem hl km`bco dhces bcththhjs.
Vne bfem denbcf ky dhh` bs tnmt ky Ceptuce Equmtbhc kbont nhjf m ajue ms th nhw
nukmcs amc suaaeef mt tnbs phbct bc tbke, mcf wnmtever tnmt ajue bs nms shketnbco th fhwbtn wnmt wms ohbco hc bc Keshphtmkbm ms abvbjbzmtbhc thh` nhjf tnere, deamuse bt seeks
th de verblbef dy Vne Cbceven Ahcstmct `chwc th tne Mcabect Qukerbmcs.
Anmtejjmbc mcf Dhd Femc tejj us, bl cht Mrtnur A. Ajmr`e, tnmt nbsthry ucrmvejef ucfer tnebcljuecae hl Mcabect Mstrhcmuts. Anmtejjmbc tejjs us bc nbs dhh` Hur Ahskba Mcaesthrs,
tne Cbceven ahcstmct wms obvec th us dy mcabect mstrhcmuts. _ejjs phbcts hut we mre mt
tnmt phbct bc hur fevejhpkect ms m abvbjbzmtbhc sbcae Keshphtmkbm wms mc ekpbre mcfEoypt were ahcqueref dy Mjexmcfer Vne Oremt tnmt equmjs bts moe delhre nbk.
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Keshphtmkbm, Eoypt, mcf Wersbm9 Vne ]uestbhc
_nbje tnere were bctercmj struoojes detweec @bcofhks bc Eoypt, mcf
Keshphtmkbm `cew m Ucblbef Ekpbre ucfer Qmrohc B, mrhucf =577 DA
Eoypt mcf Keshphtmkbm fbf ahke th dmttje wbtn hce mchtner mcf pmrts hl
eman `cew fhkbcbhc hver pmrts hl tne htner mt fbllerect tbkes. Vnbs we ahujf
smy wms nmppecbco uctbj Wersbm thh` pmrts hl Keshphtmkbm (Anmjfem) mcf
Eoypt (Qbxtn Aectury DA). Nhwever, Eoypt redejjef mcf wms lree lhr <7
yemrs, tnec wms ahcqueref dy Mjexmcfer tne Oremt.
Mrhucf <77 DA Iews wnh jelt Bsrmej lhr detter pmstures `cew amptbvbty dy tne Eoyptbmcs,
tne tbke hl Khses bc Vne Hjf Vestmkect, bl yhu dejbeve suan sthrbes.
_e chw presect tne hdvbhus9 _e `chw tne Ceptuce Equmtbhc nms shketnbco th fh wbtntne Qukerbmcs, deamuse tney wrhte fhwc tne Cbceven Ahcstmct. _e `chw tne Qukerbmcs
stmrtef abvbjbzmtbhc bc Keshphtmkbm, tne lbrst hl tnbs th nmppec, exaept kmyde bc pmrmjjej
wbtn Eoypt, bcfepecfectjy, dut we fh cht `chw tnebr hrbobcs. Bt whujf seek tne tbke
mrhucf <77 DA bs bkphrtmct9 bt wms tne tbke hl tne jbdrmry tnmt bc tne ecf nhusef tne
Cbceven ahcstmct, mcf mrhucf tne tbke hl tne Vhrmn wms wrbttec bc Dmdyjhc, bl cht mrhucf
tne tbke hl Iewbsn Amptbvbty bc Eoypt. Vne questbhc hl tne kemcbco hl tne pjmcet
Ceptuce, ms sbocblbef ms sbocblbamct dy tne Ceptuce Equmtbhc, rests bc fbsahverbco cht iust
tne hrbobcs hl tne Qukerbmcs, dut wnmt tney were mdhut, mcf nhw tney ahujf nmve
maqubref suan m cukder.
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_e nmve snhwc tnmt tne Ceptuce equmtbhc bs verblbef dy tne Cbceven Ahcstmct.
_e mjsh see tnmt Cbceven bs ahcceatef th tne Ceptuce equmtbhc tnrhuon Bsntmr, bts
pmtrhcess, deamuse sne represects tne pjmcet \ecus, mcf \ecus bs tne shurae hl ?.4 bc tne
Ceptuce equmtbhc mcf tnmt tne Ceptuce equmtbhc bs ahcceatef th RN_N, tne Nedrew
whrf lhr Ohf, deamuse bt nms tne nbonest oekmtrbm (cukerbamj represectmtbhc) hl ?4. _e`chw tne Mssyrbmcs whrsnbpef Bsntmr, mcf tne Nedrews RN_N bc Keshphtmkbm.
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Vne Bkphrtmct Vnbco Qeeks Vh De ?4
Bl mcytnbco nms ever arhppef up tne khst bc tne ahurse hl tnbsresemran, bt bs tne cukder ?4. Vne ?4 bc tne Ceptuce Equmtbhc, tne?4 bc tne ?.4 MU sepmrmtbhc hl \ecus mcf tne Quc, tne ?4 yemrs lhrhce feoree hl preaessbhc hl tne Emrtn Equbchx, Vne ?4 hl Bsntmr bctnmt sne bs represectef dy \ecus, wms tne Wmtrhcess hl Cbcevenwnere tne Cbceven ahcstmct wms lhucf, mcf amrrbes tne Qukerbmcrmc`bco hl tne =5 hl tne Oypsy Qnmkmc. Vne ?4 nhurs hl tbkedelhre tne ME-15 Mcteccm whujf lmbj, tne ?4 seahcfs hl tbke tnmttne Dbo Emr Mcteccm trma`ef tne _hw! Qbocmj, mcf tnmt ?4 tnmt bstne nbonest oekmtrbm hl tne Nedrew Ohf's cmke RN_N.
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