Linear frictional forces cause orbits to neither circularize nor precess
Classical Physics
2023-03-03 v3
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
Cite
@article{arxiv.0708.3827,
title = {Linear frictional forces cause orbits to neither circularize nor precess},
author = {P. M. Hamilton and M. Crescimanno},
journal= {arXiv preprint arXiv:0708.3827},
year = {2023}
}
Comments
16 pages. 1 figure, Rewrite for resubmission