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

TL;DR

This paper investigates the stability of orbits around a spinning body using a pseudo-Newtonian model that captures relativistic effects like frame dragging, employing chaos analysis tools to understand orbital behavior.

Contribution

It introduces a pseudo-Newtonian potential that incorporates relativistic spin effects and analyzes orbital stability using chaos theory methods.

Findings

Orbit stability varies with the spin of the central body.

Chaotic behavior is observed in certain orbital regimes.

Frame dragging influences the transition between stable and unstable orbits.

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.