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Introduction to Periodic Orbits and Invariant Manifolds in Celestial Mechanics with Applications to Space Missions I

Introductory Workshop: Hamiltonian systems, from topology to applications through analysis August 20, 2018 - August 24, 2018

August 20, 2018 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Rodney Anderson (NASA Jet Propulsion Laboratory (JPL))
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Abstract

Periodic orbits, quasiperiodic orbits, and invariant manifolds are key to obtaining an overall understanding of motion and transport within celestial mechanics models.  These topics will be introduced primarily in the circular restricted three-body problem with other examples in more complex models including the real-world ephemeris.  Design consideration for trajectories using these components and heteroclinic connections for astrodynamics applications will also be introduced.  Particular applications to the design of trajectories traveling to the moon and Jovian tours will be presented as well. 

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