Stability of Orbits around a Spinning Body in a Pseudo-Newtonian Hill Problem
General Relativity and Quantum Cosmology
2009-11-13 v1
Abstract
A pseudo-Newtonian Hill problem based on a potential proposed by Artemova et al. [Astroph. J. 461 (1996) 565] is presented. This potential reproduces some of the general relativistic effects due to the spin angular momentum of the bodies, like the dragging of inertial frames. Poincare maps, Lyapunov exponents and fractal escape techniques are employed to study the stability of bounded and unbounded orbits for different spins of the central body.
Keywords
Cite
@article{arxiv.0811.4049,
title = {Stability of Orbits around a Spinning Body in a Pseudo-Newtonian Hill Problem},
author = {A. F. Steklain and P. S. Letelier},
journal= {arXiv preprint arXiv:0811.4049},
year = {2009}
}
Comments
14 pages, 12 figures. Accepted for publication on Physics Letters A