Relation Between the Szebehely Equation on the Inverse Problem of the Mechanics and Theory of Hamilton-Jacobi

Details Relation Between the Szebehely Equation on the Inverse Problem of the Mechanics and Theory of Hamilton-Jacobi Relation Between the Szebehely Equation on the Inverse Problem of the Mechanics and Theory of Hamilton-Jacobi

Mar 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cemda..46...31p&link_type=abstract

Celestial Mechanics & Dynamical Astronomy, Volume 46, Issue 1, pp.31-34

Astronomy and Astrophysics

Astronomy

4

Scientific paper

For any family of orbits having the same energy constant and orthogonal
to a surface, we show the equivalence of Szebehely's equation of the
inverse problem and the major result of Jacobi's theorem i.e. there
exists a velocity potential.

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