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Chaotic Motion Around Prolate Deformed Bodies

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arxiv astro-ph/0101164 v1 pith:RKNIUUO5 submitted 2001-01-10 astro-ph gr-qcnlin.CD

E. Gueron , P.S. Letelier This is my paper · ORCID
classification astro-phgr-qcnlin.CD
keywords motionchaoticincreasesprolatequadrupoleanaloguearoundassociated
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The motion of particles in the field of forces associated to an axially symmetric attraction center modeled by a monopolar term plus a prolate quadrupole deformation is studied using Poincare surface of sections and Lyapunov characteristic numbers. We find chaotic motion for certain values of the parameters, and that the instability of the orbits increases when the quadrupole parameter increases. A general relativistic analogue is briefly discussed.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Chaotic orbital dynamics of pulsating stars around black holes surrounded by dark matter halos

    gr-qc 2024-12 conditional novelty 6.0 of 10

    Spherically symmetric pulsations trigger homoclinic chaos in orbits around black holes enclosed by dark matter halos, unlike the vacuum Schwarzschild case.

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