Generalization of Szebehely's equation |
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Authors: | George Bozis |
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Institution: | (1) Dept. of Theoretical Mechanics, University of Thessaloniki, Greece |
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Abstract: | Szebehely's partial differential equation for the force functionU=U(x,y) which gives rise to a given family of planar orbitsf(x,y)=Constant is generalized to account for velocity-dependent potentials V*=V*(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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