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Europa Orbiter Study Update

Europa Orbiter Study Update. Rodney L. Anderson Martin W. Lo. Overview. The Planar Europa Orbiter Trajectory Resonant Orbits Transition Between Resonances Energy Changes ( Vs ) Europa Approach 5:6 Unstable Orbit (Compared at Different Energies) Stable Manifold of L 2 Lyapunov Orbit.

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Europa Orbiter Study Update

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  1. Europa Orbiter Study Update Rodney L. Anderson Martin W. Lo June 17, 2004

  2. Overview • The Planar Europa Orbiter Trajectory • Resonant Orbits • Transition Between Resonances • Energy Changes (Vs) • Europa Approach • 5:6 Unstable Orbit (Compared at Different Energies) • Stable Manifold of L2 Lyapunov Orbit June 17, 2004

  3. Planar Europa Orbiter Trajectory • Europa Orbiter • Low Thrust Initially Too Difficult • Impulsive Case More Easily Understood • Focus on Understanding Resonance Transfers & Capture • Planar Restricted Problem • Theoretically Simpler • More Tools Available • Achieved Using LTool Differential Corrector June 17, 2004

  4. Ci Cm Cf C4 DV DV 5:6 L2 DV Resonant Capture Sequence 3:4| DV | 3:4 | Eu | 5:6 | DV | 5:6 | L2 Lyap | Cap DV Ci Cm Cf C4 Change Energy, C, at DV 3:4 3:4 5:6 3:4 June 17, 2004

  5. Planar Europa Orbiter (PEO) Trajectory June 17, 2004

  6. Planar Europa Orbiter (PEO) Trajectory June 17, 2004

  7. Normalized Two-Body Period Initial Section Ci Final Section Cf Middle Section Cm June 17, 2004

  8. 3:4 Resonant Orbit for Middle Segment C = Cm June 17, 2004

  9. 5:6 Resonant Orbit for Middle Segment C = Cm June 17, 2004

  10. Poincaré Section at Cm w/ Resonant Orbits June 17, 2004

  11. Poincaré Section at Cm w/ Resonant Orbits June 17, 2004

  12. Poincaré Section at Cf w/ Resonant Orbits June 17, 2004

  13. Poincaré Section at Cf w/ Resonant Orbits June 17, 2004

  14. 5:6 to Lyapunov Orbit June 17, 2004

  15. ~2:3 Resonance – Note Lobes June 17, 2004

  16. June 17, 2004

  17. Homoclinic Tangle Around Neptune 2:3 MMR 2:3 MMR END END June 17, 2004

  18. ~9:10 Resonance June 17, 2004

  19. June 17, 2004

  20. Stable Region of ~9:10 Resonance June 17, 2004

  21. 5:6 Resonant Orbit for Final Segment C = Cf June 17, 2004

  22. The PEO Follows the Invariant Manifolds June 17, 2004

  23. The PEO Follows the Unstable Manifold of the 5:6 Resonant Orbit June 17, 2004

  24. Current Tasks • Understand Resonant Orbit Transfers • Find Transition in Manifolds at Changes in Energy Levels (DVs) • Put Together Sample Trajectories for Input into Mystic June 17, 2004

  25. Poincaré Section at Cf w/ Resonant Orbits Stable Manifold of L2 Lyapunov Orbit 3:4 Resonant Orbit & Unstable Manifold 5:6 Resonant Orbit with Stable & Unstable Manifolds June 17, 2004

  26. 5:6 Resonant Orbit for Cf (Inertial Frame) C = Cf June 17, 2004

  27. 3:4 Resonant Orbit for Final Segment C = Cf June 17, 2004

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