The two-body problem with radiation pressure in a rotating reference frame

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Abstract

We study a perturbed Newtonian two-body problem, in which the perturbation is due to a force field of constant magnitude but rotating direction. By considering this system as a perturbation of the non-rotating case a Melnikov-type analysis allows us to show the existence of horseshoes in the level sets of the Hamiltonian and the subsequent sensitive dependence on initial conditions and non-integrability. We discuss the consequences of these results for a particular planar restricted three-body problem.

Original languageEnglish (US)
Pages (from-to)287-313
Number of pages27
JournalCELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
Volume61
Issue number3
DOIs
StatePublished - Sep 1 1995
Externally publishedYes

Keywords

  • Two-body problem
  • chaos
  • horseshoes
  • radiation pressure
  • three-body problem

ASJC Scopus subject areas

  • Modeling and Simulation
  • Mathematical Physics
  • Astronomy and Astrophysics
  • Space and Planetary Science
  • Computational Mathematics
  • Applied Mathematics

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