Shoot the Moon

1. Maneuver to Transfer to Stable Manifold of Earth-Moon L2 Lyapunov Orbit Lunar Orbit Shadowing Stable Manifold of Sun-Earth L2 Lyapunov Orbit to Leave Earth Earth Ballistic Lunar Capture Shadowing Unstable Manifold of Sun-Earth L2 Lyapunov Orbit Shoot the Moon: Low Energy Transfer & Ballistic Capture Shoot the Moon

2. Weak Stability Boundary Approach • Discussed in Session II.

3. Poincaré Cut of Sun-Earth Unstable Mnfd Earth L2 Lyapunov Orbit

4. Poincaré Cut of Earth-Moon Stable Mnfd Lunar L2 Lyapunov Orbit

5. Intersect S-E & E-M Manifolds

6. Construction of Lunar Capture Orbit POINCARE SECTION OF SUN-EARTH AND EARTH-MOON SYSTEMS EARTH TO LUNAR CAPTURE TRAJECTORY TRAJECTORIES FROM SUN-EARTH EXTERIORREGION TO EARTH-MOON INTERIOR REGION TRAJECTORIES FROM SUN-EARTH INTERIORREGION

7. Earth-Moon IPSInterchange • Easy Return of S/C from L2 to • Lunar L1/L2 Orbit • Lunar Capture Orbit • Earth Return Orbit • Potential for Human Servicing & Replacements • Staging for Interplanetary Launch

8. Construction of Earth Transfer Orbit • S = [q1, q2] • Same X, Y Coord. & Energy, Differ in Velocity, i.e. Gives DV • Integrate S Backwards for Inverse Poincare Map: P-1 • S Integrated Backwards Approaches Lyapunov Orbit and Spirals Around Sun-Earth Lyapunov Orbit’s Stable Manifold • Part of Stable Manifold Approaches Earth

9. Shoot the Moon

10. Shoot the Moon

11. Hiten-Like Ballistic Lunar Capture (2)