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Representations of Invariant Manifolds for Applications in Three-Body Systems

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Abstract

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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Correspondence to K. C. Howell.

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Howell, K.C., Beckman, M., Patterson, C. et al. Representations of Invariant Manifolds for Applications in Three-Body Systems. J of Astronaut Sci 54, 69–93 (2006). https://doi.org/10.1007/BF03256477

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Keywords

  • Manifold
  • Invariant Manifold
  • Unstable Manifold
  • Stable Manifold
  • Libration Point