Generalization of Szebehely's equation

Details Generalization of Szebehely's equation Generalization of Szebehely's equation

Apr 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cemec..29..329b&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 29, April 1983, p. 329-334.

Computer Science

12

Orbital Mechanics, Partial Differential Equations, Circular Orbits, Orbital Velocity

Scientific paper

Szebehely's partial differential equation for the force function U = U(x,y) which gives rise to a given family of planar orbits f(x,y) = Constant is generalized to account for velocity-dependent potentials Vhbar = Vhbar(x,y,x,y). The new partial differential equation is quasi-linear and of the first order. An example is given and a comparison is made of the two equations.

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