Article Dans Une Revue Journal of Physics B: Atomic, Molecular and Optical Physics Année : 2009

A pedagogical discussion of the gravitational energy radiated by Keplerian systems

Résumé

We discuss the use of dimensional analysis and the quadrupolar emission hypothesis to determine the gravitational power radiated by a celestial body in a circular orbit. We then show how to derive the instantaneous power radiated in a general Keplerian orbit by approximating it locally by a circle. This derivation allows us to recover with good accuracy the nontrivial dependence given by general relativity relating the average radiated power to the eccentricity of an ellipse. The approach is understandable by undergraduate students.

Dates et versions

hal-03786164 , version 1 (23-09-2022)

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Citer

Christian Bracco, Jean-Pierre Provost, Pierre Salati. A pedagogical discussion of the gravitational energy radiated by Keplerian systems. Journal of Physics B: Atomic, Molecular and Optical Physics, 2009, 77, pp.886-889. ⟨10.1119/1.3159610⟩. ⟨hal-03786164⟩
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