Shoot the Moon

1
Shoot the Moon

Shoot the Moon Low Energy Transfer Ballistic
Capture
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
Construction of Lunar Capture Orbit
A CROSS SECTION OF THE SUN-EARTH AND EARTH-MOON
IPS PARTITIONS THE ORBITAL DESIGN SPACE INTO
CLASSES
8
Earth-Moon IPS Interchange

• 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

9
Dynamics of Hiten Lunar Capture Orbits
10
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 Orbits
  Stable Manifold
• Part of Stable Manifold Approaches Earth

11
Shoot the Moon

12
Shoot the Moon

13
Hiten-Like Ballistic Lunar Capture (2)
14
Shoot the Moon

Hiten-Like Low Energy Transfer Ballistic Lunar
Capture
Shoot the Moon
MWL - 14