Stability mapping of distant retrograde orbits and transport in the circular restricted three-body problem

Christopher J. Scott, David B. Spencer

Research output: Chapter in Book/Report/Conference proceedingConference contribution

8 Scopus citations

Abstract

The fast Lyapunov indicator (FLI), related to better known maximum Lyapunov exponent (MLE), has been applied to individual asteroids, symplectic maps, and the circular restricted three-body problem. In the circular restricted three-body problem FLI maps have been used to expose invariant manifolds connecting resonant islands in the Jupiter-Europa system. Similar structures exist on a variety of length and time scales throughout the solar system providing dynamical pathways for the transport of both natural and man-made objects. This paper discusses the practical and theoretical details of applying stability mapping in conjunction with manifold seeding, collision mapping, and the inclusion of dissipation. A mapping technique is presented that facilitates the construction of non-collision orbits into and out of the distant retrograde region. Application to the Sun-Jupiter system demonstrates heteroclinic connections responsible for satellite capture into the distant retrograde orbits. Capture regions are identified in both the conservative and dissipative systems. In the field of astrodynamics, these techniques can be used to construct insertion trajectories into energetic, stable distant retrograde orbits.

Original languageEnglish (US)
Title of host publicationAIAA/AAS Astrodynamics Specialist Conference and Exhibit
StatePublished - Dec 1 2008
EventAIAA/AAS Astrodynamics Specialist Conference and Exhibit - Honolulu, HI, United States
Duration: Aug 18 2008Aug 21 2008

Publication series

NameAIAA/AAS Astrodynamics Specialist Conference and Exhibit

Other

OtherAIAA/AAS Astrodynamics Specialist Conference and Exhibit
CountryUnited States
CityHonolulu, HI
Period8/18/088/21/08

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics

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    Scott, C. J., & Spencer, D. B. (2008). Stability mapping of distant retrograde orbits and transport in the circular restricted three-body problem. In AIAA/AAS Astrodynamics Specialist Conference and Exhibit [2008-6431] (AIAA/AAS Astrodynamics Specialist Conference and Exhibit).