Chaotic Motion Around Prolate Deformed Bodies
Astrophysics
2009-11-06 v1 General Relativity and Quantum Cosmology
Chaotic Dynamics
Abstract
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.
Keywords
Cite
@article{arxiv.astro-ph/0101164,
title = {Chaotic Motion Around Prolate Deformed Bodies},
author = {E. Gueron and P. S. Letelier},
journal= {arXiv preprint arXiv:astro-ph/0101164},
year = {2009}
}
Comments
RevTEX, 7 eps figures, To appear in Phys Rev E (March 2001)