Szebehely equation and variational principles

Details Szebehely equation and variational principles Szebehely equation and variational principles

Apr 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..32..349p&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 32, April 1984, p. 349-353. In French.

Physics

4

Celestial Mechanics, Euler Equations Of Motion, Variational Principles, Partial Differential Equations, Trajectory Analysis

Scientific paper

The 'inverse problem' in celestial mechanics, that of determining the force functions capable of generating a given set of orbits, is examined. It is demonstrated that the linear first-order partial differential equations obtained by Szebehely (1974) to satisfy these force functions are the Euler equations of a variational problem derived from the least-action principle of Maupertuis.

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