Stability of Orbits around a Spinning Body in a Pseudo-Newtonian Hill Problem

Details Stability of Orbits around a Spinning Body in a Pseudo-Newtonian Hill Problem Stability of Orbits around a Spinning Body in a Pseudo-Newtonian Hill Problem

2008-11-25

arxiv.org/abs/0811.4049v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 12 figures. Accepted for publication on Physics Letters A

Scientific paper

10.1016/j.physleta.2008.11.022

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.

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