A Pedagogical Discussion Concerning the Gravitational Energy Radiated by Keplerian Systems

Details A Pedagogical Discussion Concerning the Gravitational Energy Radiated by Keplerian Systems A Pedagogical Discussion Concerning the Gravitational Energy Radiated by Keplerian Systems

2008-11-03

arxiv.org/abs/0811.0317v2

Physics

Popular Physics

A simpler method has been used in the calculations, which requires now only standard knowledge (the radius of curvature is def

Scientific paper

We first discuss the use of dimensional arguments (and of the quadrupolar emission hypothesis) in the derivation of the gravitational power radiated on a circular orbit. Then, we show how to simply obtain the instantaneous power radiated on a general Keplerian orbit by approximating it locally by a circle. This allows recovering with a good precision, in the case of an ellipse, the highly non trivial dependence on the eccentricity of the average power given by general relativity. The whole approach is understandable by undergraduate students.

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