Linear frictional forces cause orbits to neither circularize nor precess

Details Linear frictional forces cause orbits to neither circularize nor precess Linear frictional forces cause orbits to neither circularize nor precess

2007-08-28

arxiv.org/abs/0708.3827v3

J. Phys. A: Math. Theor. 41 (2008) 235205

Physics

Classical Physics

16 pages. 1 figure, Rewrite for resubmission

Scientific paper

10.1088/1751-8113/41/23/235205

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

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