Inverse problem, precessing orbits and autonomous forces

Cristina Blaga

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arXiv · 1211.0631

Inverse problem, precessing orbits and autonomous forces

Cristina Blaga

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Abstract

In the framework of the inverse problem of Dynamics we investigate the compatibility between a two-parametric family of precessing orbits and autonomous force fields. In a previous work, for a specific choice of the two parameters in the precessing family of orbits, we obtained that if the family is compatible with a central force, than this is derived from a Manev's type potential. In this work we consider another choice of the parameters in the two-parametric family of precessing orbits, for which we know that there is no central force compatible and study its compatibility with an autonomous force field.

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Cristina Blaga. 2012-11-03. Inverse problem, precessing orbits and autonomous forces. https://arxiv.org/abs/1211.0631

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