Linear frictional forces cause orbits to neither circularize nor precess

Abstract

For the undamped Kepler potential the lack of precession has historically been understood in terms of the Runge-Lenz symmetry. For the damped Kepler problem this result may be understood in terms of the generalization of Poisson structure to damped systems suggested recently by Tarasov[1]. In this generalized algebraic structure the orbit-averaged Runge-Lenz vector remains a constant in the linearly damped Kepler problem to leading order in the damping coe

16 pages. 1 figure, Rewrite for resubmission

References in corpus (5)

• LISA double black holes: Dynamics in gaseous nuclear discs
• Phase-Space Metric for Non-Hamiltonian Systems
• Non-Hamiltonian Commutators in Quantum Mechanics
• The classical Kepler problem and geodesic motion on spaces of constant curvature
• Dynamical Friction in Stellar Systems: an introduction

Cited by in corpus (2)

• Regularization of central forces with damping in two and three-dimensions
• The symmetry of the Kepler problem, the inverse Ligon-Schaaf mapping and the Birkhoff conjecture