how to find sun’s height above horizon?
DESCRIPTION
How to find sun’s height above horizon?. By Aurimas Valancius III e 2012. E cliptic. The apparent yearly path of the Sun through the stars is called the ecliptic . - PowerPoint PPT PresentationTRANSCRIPT
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How to find sun’s height above horizon?
By Aurimas Valancius III e2012
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Ecliptic
• The apparent yearly path of the Sun through the stars is called the ecliptic.
• This circular path is tilted 23.5 degrees with respect to the celestial equator because the Earth's rotation axis is tilted by 23.5 degrees with respect to it’s orbital plane.
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Solstice• The farthest northern point above the celestial
equator is the summer solstice, and the farthest southern point is the winter solstice.
• The winter solstice usually occurs on December 21 to 22 each year in the Northern Hemisphere, and June 20 to 21 in the Southern Hemisphere.
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Equinox• The ecliptic and celestial equator intersect at
two points: the vernal (spring) equinox and autumnal (fall) equinox.
• The Sun crosses the celestial equator moving northward at the vernal equinox around March 21 and crosses the celestial equator moving southward at the autumnal equinox around September 22.
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Targets
• To find sun’s height above the horizon in equinox.
• To find sun’s height above the horizon in Solstice.
• To find sun’s height above the horizon in March 5.
• To compare results.
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Hypothesis
• I think, that sun’s height over the horizon will be the highest in summer.
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The way
• On the equinoxes the Sun moves along the horizon.
• The easiest way to find sun’s height over the horizon is when she is in equinox.– March 21– September 23
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celestial equator
Equinoxes
• I need this formula:
– - the Sun's maximum angular distance
– - geographic latitude– - The Sun’s height over
the sky equator is 23.5 degrees.
N
S
Earth horizon
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Equinox
• I found the Sun’s height over horizon in equinox:
550
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Solstice in summer
• If I want to find sun's height when she is in solstice. I need to find .
--
+ +
03-21
06-22
12-23
09-22
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Solstice in winter
• I found Sun’s height over horizon in winter.
--
+ +
03-21
06-22
12-23
09-22
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Sun's height above the horizon on March 5
• I found Sun's height above the horizon on March 5 in Taurage.
--
+ +
03-21
06-22
12-23
09-22
03-05
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• I found .
N – day number after March 21.
--
+ +
03-21
06-22
12-23
09-22
351
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Sun's height above the horizon on March 5
• I found Sun's height above the horizon on March 5 in Taurage.
--
+ +
03-21
06-22
12-23
09-22
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Trutnov
• I found Sun's height above the horizon on March 5 in Trutnov.
500
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Madrid
• I found Sun's height above the horizon on March 5 in Madrid.
400
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Nuremberg
• I found Sun's height above the horizon on March 5 in Nuremberg.
490
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Athens
• I found Sun's height above the horizon on March 5 in Athens.
370
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ResultsDay Results
Equinox 350
Solstice in summer 58.50
Solstice in winter 11.50
City Results Taurage 32.530
Trutnov 37.530
Madrid 47.530
Nuremberg 38.530
Athens 50.530
March 5
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Inference
• My hypothesis had reasserted.• On the summer solstice the mid-day shadows
are much shorter because the Sun is much higher above the horizon.
• is same in all countries, but isn’t.• Sun’s height is the biggest in Athens.
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Thank you for your attention