Newtonian and relativistic theory of orbits and emission of gravitational waves

Abstract

This review paper is devoted to the theory of orbits. We start with the discussion of the Newtonian problem of motion then we consider the relativistic problem of motion, in particular the PN approximation and the further gravitomagnetic corrections. Finally by a classification of orbits in accordance with the conditions of motion, we calculate the gravitational waves luminosity for different types of stellar encounters and orbits.

arXiv comment44 pages, 22 figures. arXiv admin note: substantial text overlap with arXiv:gr-qc/0501041 by other authors without attribution

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