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Europa Orbiter Study Update

This update provides an overview of the planar Europa orbiter trajectory, including the resonance orbits, transition between resonances, and energy changes. The study focuses on understanding resonance transfers and capture in the planar restricted problem. Sample trajectories are being developed for further analysis.

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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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