Representations of Invariant Manifolds for Applications in Three-Body Systems | Zendy

Kathleen C. Howell | Zendy; Mark Beckman | Zendy; Chris W. Patterson | Zendy; David Folta | Zendy

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Representations of Invariant Manifolds for Applications in Three-Body Systems

Author(s) -

Kathleen C. Howell,

Mark Beckman,

Chris W. Patterson,

David Folta

Publication year - 2006

Publication title -

the journal of the astronautical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.698

H-Index - 46

eISSN - 2195-0571

pISSN - 0021-9142

DOI - 10.1007/bf03256477

Subject(s) - invariant (physics) , computer science , manifold (fluid mechanics) , lagrangian point , three body problem , invariant manifold , center manifold , mathematical optimization , mathematics , pure mathematics , physics , classical mechanics , mechanical engineering , hopf bifurcation , nonlinear system , quantum mechanics , bifurcation , engineering , mathematical physics

The lunar L1 and L2 libration points have been proposed as gateways granting inexpensive access to interplanetary space. To date, individual transfers between three-body systems have been determined. The methodology to solve the problem for arbitrary three-body systems and entire families of orbits is currently being studied. This paper presents an initial approach to solve the general problem for single and multiple impulse transfers. Two different methods of representing and storing the invariant manifold data are developed. Some particular solutions are presented for two types of transfer problems, though the emphasis is on developing the methodology for solving the general problem.

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