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A generalized theory of classical mechanics for the two body problem - MaRDI portal

A generalized theory of classical mechanics for the two body problem (Q801700)

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scientific article; zbMATH DE number 3880157
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A generalized theory of classical mechanics for the two body problem
scientific article; zbMATH DE number 3880157

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    A generalized theory of classical mechanics for the two body problem (English)
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    1983
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    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.
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    perihelion's precession
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    nonrelativistic two body problem
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    mass reduced frame
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    quasi-Newtonian force law
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    Newtonian central force
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    velocity dependent force
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