Linear frictional forces cause orbits to neither circularize nor precess

P. M. Hamilton; M. Crescimanno

doi:10.1088/1751-8113/41/23/235205

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arXiv · 0708.3827

Linear frictional forces cause orbits to neither circularize nor precess

P. M. Hamilton·M. Crescimanno

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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

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P. M. Hamilton, M. Crescimanno. 2007-08-28. Linear frictional forces cause orbits to neither circularize nor precess. https://doi.org/10.1088/1751-8113/41/23/235205

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