Relativistic effects in the chaotic Sitnikov problem

T. Kovács, Gy Bene, T. Tél

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Abstract

We investigate the phase-space structure of the relativistic Sitnikov problem in the first post-Newtonian approximation. The phase-space portraits show a strong dependence on the gravitational radius which describes the strength of the relativistic pericentre advance. Bifurcations appearing at various gravitational radii are presented. Transient chaotic behaviour related to escapes from the primaries is also studied. Finally, the numerically determined chaotic saddle is investigated in the context of hyperbolic and non-hyperbolic dynamics as a function of the gravitational radius.

Original languageEnglish
Pages (from-to)2275-2281
Number of pages7
JournalMonthly Notices of the Royal Astronomical Society
Volume414
Issue number3
DOIs
Publication statusPublished - Jul 1 2011

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Keywords

  • Celestial mechanics
  • Chaos
  • Methods: numerical
  • Relativistic processes
  • Scattering

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

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