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A generalized theory of classical mechanics for the two body problem. (English) Zbl 0552.70004

This paper contains a nonrelativistic (”... much simpler than in general relativity...”) attempt for building a mechanical theory in which the following assertion is valid in the mass reduced frame: ”If \(P_ 2\) is subject to a force field which admits a generalized potential and describes a plane orbit, then this orbit is a conic section and the quasi-Newtonian force law holds”. \(P_ 1\) and \(P_ 2\) are material points (two bodies), and the quasi-Newtonian force is a Newtonian central force to which a velocity dependent force of little magnitude is added.
Reviewer: B.D.Jovanovic

MSC:

70F05 Two-body problems
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References:

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