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Regular and Chaotic Motion in a Restricted Three–Body Problem of Astrophysical Interest

Published online by Cambridge University Press:  12 April 2016

J. C. Muzzio ,
F. C. Wachlin  and
D. D. Carpintero
J. C. Muzzio
Affiliation:
Facultad de Ciencias Astronómicas y Geofísicas de la, Universidad National de La Plata and PROFOEG-CONICET, Argentina
F. C. Wachlin
Affiliation:
Facultad de Ciencias Astronómicas y Geofísicas de la, Universidad National de La Plata and PROFOEG-CONICET, Argentina
D. D. Carpintero
Affiliation:
Facultad de Ciencias Astronómicas y Geofísicas de la, Universidad National de La Plata and PROFOEG-CONICET, Argentina

Abstract

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We have studied the motion of massless particles (stars) bound to a stellar system (a galactic satellite) that moves on a circular orbit in an external field (a galaxy). A large percentage of the stellar orbits turned out to be chaotic, contrary to what happens in the usual restricted three–body problem of celestial mechanics where most of the orbits are regular. The discrepancy is probably due to three facts: 1) Our study is not limited to orbits on the main planes of symmetry, but considers three–dimensional motion; 2) The force exerted by the satellite goes to zero (rather than to infinity) at the center of the satellite; 3) The potential of the satellite is triaxial, rather than spherical.

Type
Part 3. Numerical Simulations
Information
International Astronomical Union Colloquium , Volume 174: Small Galaxy Groups , 2000 , pp. 281 - 285
Copyright
Copyright © Astronomical Society of the Pacific 2000

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