Celestial Mechanics and Dynamical Astronomy

, Volume 53, Issue 3, pp 207–218 | Cite as

Explicit solutions of the three-dimensional inverse problem of dynamics, using the frenet reference frame

  • François Puel
Article

Abstract

Given a two-parameter of three-dimensional orbits, we construct the unit tangent vector, the normal and the binormal which define the Frenet reference frame. In this frame, by writing that the force is conservative, we explicitly obtain the potential as a function of the energy along the trajectories and of its derivatives.

Key words

Inverse problem Szebehely's equation intrinsic equations 

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Copyright information

© Kluwer Academic Publishers 1992

Authors and Affiliations

  • François Puel

There are no affiliations available

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