Relativistic conic sections.

Computer Science

Scientific paper

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Binaries:Orbits, Binaries:Relativity, Orbits:Binaries, Relativity:Binaries

Scientific paper

A classification of the possible types of the relative orbits of realistic binary stars in the post-Newtonian approximation of general relativity is presented. Definitions of the relativistic conic sections and their elements are proposed, generalizing the corresponding ones of classical celestial mechanics. The results are compared and contrasted with the classical ones and some new predictions of purely post-Newtonian origin and nature are presented.

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