8/6/2002 aiaa/aas astrodynamics specilaist conference martin.lo@jpl.nasa.gov...
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8/6/2002
AIAA/AAS Astrodynamics Specilaist ConferenceMartin.Lo@jpl.nasa.gov
Min-Kun.Chung@jpl.nasa.gov JPL Caltech
Lunar Orbit
Lunar Sample Return via the Interplanetary
Supherhighway
EL1
Moon
Earth
Moon
LL2
LanderSeparation
Lander
Orbiter
EL2
LanderReturn
LL2 Stable Manifold Insertion
LanderReturn
Lunar Sample Return Mission
MWL - 2
Martin Lo, Min-Kun ChungJPL
Agenda
• Lunar Sample Return Mission Overview
• Baseline Mission Scenario– Lunar L2 Case (LL2)
• Mission Performance Comparison
Lunar Sample Return Mission
MWL - 3
Martin Lo, Min-Kun ChungJPL
Mission Overview
• Goal: Collect and Return Lunar Samples to Earth– Aitken Basin on Backside of Moon, (180°, -57°)
• Launch Combo, the Combined Flight System
• Communications Orbiter – Desire Continuous Communications Coverage
Between Earth and Lander Module
• Lander/Return Module– Sample Collection in Sun, ~2 Weeks Available– Return to Earth (non-specific target)
Lunar Sample Return Mission
MWL - 4
Martin Lo, Min-Kun ChungJPL
Key Results
• Metric: Total V of– Combo– Lander/Return Module– Communications Orbiter
• Trade Time for Total V
• Best Case 1446 m/s Less than Conic Case
• Baseline 1020 m/s Less than Conic Case
CaseT
(days)Total
V (m/s)-Conic V (m/s)
LL2 146 8586 1020
LL1 151 8663 943
EL1 553 8160 1446
Conic 23 9606 0
Lunar Sample Return Mission
MWL - 5
Martin Lo, Min-Kun ChungJPL
Lunar Sample Return Mission
MWL - 6
Martin Lo, Min-Kun ChungJPL
Key Concepts Used in the Paper
• Lunar L2 Halo Link Earth to Lunar Backside– Colombo (L1)– Farquhar: Halo Orbits
• Dynamical Systems Theory– Poincaré, Connelly, McGehee– Gomez, Jorba, Llibre, Martinez, Masdemont, Simó
• Hiten-Like Transfers– Belbruno, Miller– Lo, Ross– Koon, Lo, Marsden, Ross
• Heteroclinic Connection Theory– Barden, Howell– Koon, Lo, Marsden, Ross
Lunar Sample Return Mission
MWL - 7
Martin Lo, Min-Kun ChungJPL
JPL LTool Team
Martin Lo Section 312 Task Manager
Larry Romans Section 335 Cognizant S/W Engineer (Marthematica Developer)
George Hockney Section 367 S/W Architecture & Sys Engineer
Brian Barden Section 312 Trajectory Design & Algorithms
Min-Kun Chung Section 312 Astrodynamics Tools
James Evans Section 368 Infrastructure S/W, Visualization Tools
Lunar Sample Return Mission
MWL - 8
Martin Lo, Min-Kun ChungJPL
Case LL2 : 1020 m/s Cheaper Than Conic
• LL1
• LL2
MoonEarth
• EL2
• EL1Case
T (day)
Total V (m/s)
LL2 146 8586
LL1 151 8663
EL1 553 8160
Conic 23 9606
BASELINE CASE
Lunar Sample Return Mission
MWL - 9
Martin Lo, Min-Kun ChungJPL
Case LL1 : 943 m/s Cheaper Than Conic
CaseT
(day)Total V
(m/s)
LL2 146 8586
LL1 151 8663
EL1 553 8160
Conic 23 9606•
LL1•
LL2
MoonEarth
• EL2
• EL1
Lunar Sample Return Mission
MWL - 10
Martin Lo, Min-Kun ChungJPL
Case EL1 : 1446 m/s Cheaper Than Conic
CaseT
(day)Total V
(m/s)
LL2 146 8586
LL1 151 8663
EL1 553 8160
Conic 23 9606•
LL1•
LL2
MoonEarth
• EL2
• EL1
Lunar Sample Return Mission
MWL - 11
Martin Lo, Min-Kun ChungJPL
LL2 Case: Direct Transfer to LL2 Lissajous Orbit
• Lunar Transfer
• LL2 Lissajous Orbit
• Lunar Landing
• Lander Return
EL1
Earth
Moon
EL2
LanderReturn
Lunar Sample Return Mission
MWL - 12
Martin Lo, Min-Kun ChungJPL
LL2 Case: Trans-Lunar Phase
Trans-Lunar Injection3122 m/s at 6/14/09
Earth6/14/90
LanderReturn
LL1
LL2
Moon
LL2 Insertion570 m/s at 6/18/09
Lander Return
Earth11/7/90
Lunar Sample Return Mission
MWL - 13
Martin Lo, Min-Kun ChungJPL
LL2 Stable Manifold Insertion
LL1LL2
Moon
Trans-Lunar Orbit
Lander Return
Lander Orbit
Orbiter
Lander LL2 Departure: 35 m/s at 7/7/09
Lander Touchdown:2335 m/s at 7/17/09
Lander Return:2424 m/sat 7/28/09
LL2 Case: Lunar Phase
Lunar Sample Return Mission
MWL - 14
Martin Lo, Min-Kun ChungJPL
LL2 Case: Earth Moon Rotating Frame
EL1
Earth
Moon
EL2
LanderReturn
Lunar Sample Return Mission
MWL - 15
Martin Lo, Min-Kun ChungJPL
LanderReturn
Earth
Orbiter
LL2
LL1
LL2 Case: EME2000 Inertial Frame
Lunar Sample Return Mission
MWL - 16
Martin Lo, Min-Kun ChungJPL
LanderReturn
Earth
Orbiter
EL2
LL2
LL1
LL2 Case: Sun-Earth Rotating Frame
Lunar Sample Return Mission
MWL - 17
Martin Lo, Min-Kun ChungJPL
LL2 Case: Mission Sequence & V’s
Mission SequenceDate
(2009)T
(days)
Combo V
(m/s)
Lander V (m/s)
Orbiter V (m/s)
Translunar Injection 6/14 0 3122
Manifold Insertion 6/18 4 570
LL2 Halo Arrival 6/25 11
Lander LL2 Departure 7/7 23 35
Lander Landing 7/17 33 2335
Lander Liftoff 7/28 44 2424
Earth Return 11/7 146
Navigation 25 50 25
V Total 3717 4844 25
Lunar Sample Return Mission
MWL - 18
Martin Lo, Min-Kun ChungJPL
MoonLL1LL2
Heteroclinic Connection
LL1 Case: LL2 via LL1
• Insert into LL1 Stable Manifold
• Heteroclinic Connection for Comm. Orbiter
• Lunar Landing from LL1
Moon
LL1
Lander Departs for Moon: 95 m/s
Landing: 2330 m/s8.5 days later
Lunar Sample Return Mission
MWL - 19
Martin Lo, Min-Kun ChungJPL
LL1 Case: Mission Sequence & V’s
Mission SequenceDate
(2009)T
(days)Combo V (m/s)
Lander V (m/s)
Orbiter V (m/s)
Translunar Injection 6/9 0 3100
LL1 Halo Insertion 6/14 5 600
Orbiter LL1 Departure 6/19 10 14
Orbiter LL2 Arrival 7/7 28 0
Lander LL1 Departure 7/10 31 95
Lander Landing 7/16 37 2330
Lander Liftoff 7/28 49 2424
Earth Return 11/7 151
Navigation 25 50 25
V Total 3725 4899 39
LL2 Case
Lunar Sample Return Mission
MWL - 20
Martin Lo, Min-Kun ChungJPL
EL2
EL1 Case: LL2 via Earth L1
EL1
EL1 LOI 60 m/s
LL1 LOI 13.2 m/s
• Reduce LL2 LOI V: Launch to EL1 Fall to LL2
• Once There, Follows LL2 Case
Earth Launch 3193 m/s
FAIR/DART Trajctory
Lunar Sample Return Mission
MWL - 21
Martin Lo, Min-Kun ChungJPL
EL1 Case: Mission Sequence & V’s
Mission SequenceDate
(2009)T
(days)Combo V (m/s)
Lander V (m/s)
Orbiter V (m/s)
Earth Launch 5/30/08 0 3193
EL1 Insertion 8/29/08 91 60
LL2 Halo Arrival 6/25 391 13
Lander LL2 Departure 7/7 403 35
Lander Landing 7/17 413 2335
Lander Liftoff 7/28 424 2424
Earth Return 11/7 553
Navigation 25 50 25
V Total 3291 4844 25
Reduction by Order of Magnotide
LL2 Case
Lunar Sample Return Mission
MWL - 22
Martin Lo, Min-Kun ChungJPL
• Conic Trans-Lunar Orbit
• Lander in 100-km Lunar Parking Orbit
• Orbiter in Highly Elliptical Orbit– 100x8700 km, 12 hr Period
Conic Case (S. Williams, JPL)
Lunar Sample Return Mission
MWL - 23
Martin Lo, Min-Kun ChungJPL
Mission SequenceDate
(2009)T
(days)Combo V (m/s)
Lander V (m/s)
Orbiter V (m/s)
Translunar Injection 7/16 0 3100
Separation 7/17 1
Lunar Orbit Insertion 7/20 4.5 979 481
Lander Apoapsis Burn 7/20 4.54 23
Lander Landing 7/20 4.58 1703
Lander Liftoff 8/3 18.5 3220
Earth Return 8/8 23
Navigation 25 50 25
V Total 3125 5975 506
Conic Case (S. Williams, JPL)
Lunar Sample Return Mission
MWL - 24
Martin Lo, Min-Kun ChungJPL
Libration Point Mission Lowers V
• Saves Up to 1446 m/s!
• Provides Continuous Communication
• Trade V for Time
CaseT
(days)ComboV (m/s)
Lander V (m/s)
Orbiter V (m/s)
Total V (m/s)
-Conic V (m/s)
LL2 146 3717 4844 25 8586 1020
LL1 151 3725 4899 39 8663 943
EL1 553 3291 4844 25 8160 1446
Conic 23 3125 5975 506 9606 0
Lunar Sample Return Mission
MWL - 25
Martin Lo, Min-Kun ChungJPL
END
• END
Lunar Sample Return Mission
MWL - 26
Martin Lo, Min-Kun ChungJPL
Earth
Moon
LL1
Lissajous Orbit
LL1 Stable Manifold
LL1 Case: LL2 via LL1
• Insert into LL1 Stable Manifold
• Heteroclinic Connection for Comm. Orbiter
• Lunar Landing from LL1
Lunar Sample Return Mission
MWL - 27
Martin Lo, Min-Kun ChungJPL
MoonLL1 LL2
Heteroclinic Connection
LL1 Case: LL2 via LL1
• Insert into LL1 Stable Manifold
• Heteroclinic Connection for Comm. Orbiter
• Lunar Landing from LL1
Lunar Sample Return Mission
MWL - 28
Martin Lo, Min-Kun ChungJPL
Moon
LL1
Lander Departs for Moon: 95 m/s
Landing: 2330 m/s8.5 days later
LL1 Case: LL2 via LL1
• Insert into LL1 Stable Manifold
• Heteroclinic Connection for Comm. Orbiter
• Lunar Landing from LL1
Lunar Sample Return Mission
MWL - 29
Martin Lo, Min-Kun ChungJPL Interplanetary Superhighway
in the Earth’s Neighborhood
• Collection of Invariant Manifolds of Quasiperiodic Orbits in the Solar System
– Coupled Three Body Systems
EARTH
EARTH L2 HALO ORBIT
MOON
LUNAR L1 HALO ORBIT
LUNAR L2 HALO ORBIT
LUNAR L1 GATEWAY
Lunar Sample Return Mission
MWL - 30
Martin Lo, Min-Kun ChungJPL
Mission Design with LTool
• Lissajous Orbits and Manifold
• Trans-Lunar Trajectory
• Lander Sample Collection in Sun
• Lander Insertion Trajectory
• Heteroclinic Connection from LL1 to LL2
• Interplanetary Connection from EL1 to LL2
• Lander Return Trajectory
Lunar Sample Return Mission
MWL - 31
Martin Lo, Min-Kun ChungJPL
References
• Barden, Howell, Formation Flying in the Vicinity of Libration Point Orbits, AAS 98-169, Monterey, CA, 2/98
• Barden, Howell, Dynamical Issues Associated with Relative Configurations of Multiple Spacecraft Near the Sun-Earth/Moon L1 Point, AAS 99-450, Girdwood, Alaska, 8/99
• Gomez, Masdemon, Simo, Lissajous Orbits Around Halo Orbits, AAS 97-106, Huntsville, Alabama, 2/97
• Howell, Barden, Lo, Applications of Dynamical Systems Theory to Trajectory Design for a Libration Point Mission, JAS 45(2), April 1997, 161-178
• Howell, Marchand, Lo, The Temporary Capture of Short-Period Jupiter Family Comets from the Perspective of Dynamical Systems, AAS 00-155, Clearwater, FL, 1/2000
• Koon, Lo, Marsden, Ross, Heteroclinic Connections between Lyapunov Orbits and Resonance Transitions in Celestial Mechanics, to appear in Chaos
Lunar Sample Return Mission
MWL - 32
Martin Lo, Min-Kun ChungJPL
References
• Koon, Lo, Marsden, Ross, The Genesis Trajectory and Heteroclinic Connections, AAS99-451, Girdwood, Alaska, August, 1999
• Koon, Lo, Marsden, Ross, Shoot the Moon, AAS00-166, Clearwater, Florida, January, 2000
• Lo, The InterPlanetary Superhighway and the Origins Program, IEEE Aerospace2002 Conference, Big Sky, MT, February, 2002
• Lo et al., Genesis Mission Design, AIAA 98-4468, Boston, MA, August, 1998
• Serban, Koon, Lo, Marsden, Petzold, Ross, Wilson, Halo Orbit Correction Maneuvers Using Optimal Control, submitted to Automatica, April, 2000
• Scheeres, Vinh, Dynamis and Control of Relative Motion in an Unstable Orbit, AIAA Paper 2000-4135, August, 2000
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