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Low Energy Transfer Applications MWL - 1 JPL 2004 Summer Workshop on Advanced Topics in Astrodynamics Shoot the Moon Shadowing Unstable.

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Presentation on theme: "Low Energy Transfer Applications MWL - 1 JPL 2004 Summer Workshop on Advanced Topics in Astrodynamics Shoot the Moon Shadowing Unstable."— Presentation transcript:

1 Low Energy Transfer Applications MWL - 1 Martin.Lo@jpl.nasa.gov JPL 2004 Summer Workshop on Advanced Topics in Astrodynamics Shoot the Moon Shadowing Unstable Manifold of Sun-Earth L2 Lyapunov Orbit Shadowing Stable Manifold of Sun- Earth L2 Lyapunov Orbit to Leave Earth Earth Lunar Orbit Maneuver to Transfer to Stable Manifold of Earth- Moon L2 Lyapunov Orbit Ballistic Lunar Capture Shoot the Moon: Low Energy Transfer & Ballistic Capture

2 Low Energy Transfer Applications MWL - 2 Martin.Lo@jpl.nasa.gov JPL 2004 Summer Workshop on Advanced Topics in Astrodynamics Weak Stability Boundary Approach Discussed in Session II.

3 Low Energy Transfer Applications MWL - 3 Martin.Lo@jpl.nasa.gov JPL 2004 Summer Workshop on Advanced Topics in Astrodynamics Poincaré Cut of Sun-Earth Unstable Mnfd Earth L 2 Lyapunov Orbit

4 Low Energy Transfer Applications MWL - 4 Martin.Lo@jpl.nasa.gov JPL 2004 Summer Workshop on Advanced Topics in Astrodynamics Poincaré Cut of Earth-Moon Stable Mnfd Lunar L 2 Lyapunov Orbit

5 Low Energy Transfer Applications MWL - 5 Martin.Lo@jpl.nasa.gov JPL 2004 Summer Workshop on Advanced Topics in Astrodynamics Intersect S-E & E-M Manifolds

6 Low Energy Transfer Applications MWL - 6 Martin.Lo@jpl.nasa.gov JPL 2004 Summer Workshop on Advanced Topics in Astrodynamics Construction of Lunar Capture Orbit TRAJECTORIES FROM SUN-EARTH EXTERIOR REGION TRAJECTORIES FROM SUN-EARTH INTERIOR REGION TO EARTH- MOON INTERIOR REGION EARTH TO LUNAR CAPTURE TRAJECTORY POINCARE SECTION OF SUN-EARTH AND EARTH-MOON SYSTEMS

7 Low Energy Transfer Applications MWL - 7 Martin.Lo@jpl.nasa.gov JPL 2004 Summer Workshop on Advanced Topics in Astrodynamics Construction of Lunar Capture Orbit TRAJECTORIES FROM SUN-EARTH EXTERIOR REGION TRAJECTORIES FROM SUN-EARTH INTERIOR REGION TO EARTH-MOON INTERIOR REGION * CONTAINS ALL EARTH TO LUNAR CAPTURE ORBITS ON ENERGY SUFACE A CROSS SECTION OF THE SUN-EARTH AND EARTH-MOON IPS PARTITIONS THE ORBITAL DESIGN SPACE INTO CLASSES

8 Low Energy Transfer Applications MWL - 8 Martin.Lo@jpl.nasa.gov JPL 2004 Summer Workshop on Advanced Topics in Astrodynamics IPSInterchange 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 Low Energy Transfer Applications MWL - 9 Martin.Lo@jpl.nasa.gov JPL 2004 Summer Workshop on Advanced Topics in Astrodynamics Dynamics of Hiten Lunar Capture Orbits

10 Low Energy Transfer Applications MWL - 10 Martin.Lo@jpl.nasa.gov JPL 2004 Summer Workshop on Advanced Topics in Astrodynamics Construction of Earth Transfer Orbit S = [q1, q2] Same X, Y Coord. & Energy, Differ in Velocity, i.e. Gives  V 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

11 Low Energy Transfer Applications MWL - 11 Martin.Lo@jpl.nasa.gov JPL 2004 Summer Workshop on Advanced Topics in Astrodynamics Shoot the Moon

12 Low Energy Transfer Applications MWL - 12 Martin.Lo@jpl.nasa.gov JPL 2004 Summer Workshop on Advanced Topics in Astrodynamics Shoot the Moon

13 Low Energy Transfer Applications MWL - 13 Martin.Lo@jpl.nasa.gov JPL 2004 Summer Workshop on Advanced Topics in Astrodynamics Hiten-Like Ballistic Lunar Capture (2)

14 Low Energy Transfer Applications MWL - 14 Martin.Lo@jpl.nasa.gov JPL 2004 Summer Workshop on Advanced Topics in Astrodynamics Shoot the Moon Shadowing Unstable Manifold of Sun- Earth L2 Lyapunov Orbit Shadowing Stable Manifold of Sun- Earth L2 Lyapunov Orbit to Leave Earth Earth Lunar Orbit Maneuver to Transfer to Stable Manifold of Earth- Moon L2 Lyapunov Orbit Ballistic Lunar Capture Hiten-Like Low Energy Transfer & Ballistic Lunar Capture MWL - 14 Shoot the Moon


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