English

Inverse problem, precessing orbits and autonomous forces

Dynamical Systems 2012-11-06 v1

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.

Keywords

Cite

@article{arxiv.1211.0631,
  title  = {Inverse problem, precessing orbits and autonomous forces},
  author = {Cristina Blaga},
  journal= {arXiv preprint arXiv:1211.0631},
  year   = {2012}
}
R2 v1 2026-06-21T22:32:30.315Z