On the inverse problem of Dynamics for generalized Lagrangian systems

A system of partial differential equations for the force function \(U\) (hence for the potential function -\(U\)) is given when one knows a family of orbits for a generalized Lagrangian system; this is a generalization not only of the results of Szbehely for 2-dimensional conservative systems but also of those of Dramba for the planar circular restricted three-body probem.

Mira-Cristiana Anisiu
Tiberiu Popoviciu Institute of Numerical Analysis Romanian Academy, Romania

generalized Lagrangian systems – potential function – inverse problem

M.-C. Anisiu, On the inverse problem of Dynamics for generalized Lagrangian systems, Rom. Astron. J. 5 (2) (1995), 149-155

https://www.astro.ro/~roaj/volume/abs5.html#

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