INVERSE PROBLEM, PRECESSING ORBITS AND AUTONOMOUS FORCES

Abstract. In the framework of the inverse problem of Dynamics we investigate the com-patibility 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. 1