The post-Newtonian relative orbit of the two-body system Gravitational radiation

Details The post-Newtonian relative orbit of the two-body system Gravitational radiation The post-Newtonian relative orbit of the two-body system Gravitational radiation

Aug 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986ap%26ss.125..115d&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 125, no. 1, Aug. 1986, p. 115-125.

Astronomy and Astrophysics

Astrophysics

Elliptical Orbits, Gravitational Waves, Two Body Problem, Circular Orbits, Energy Dissipation, Equations Of Motion

Scientific paper

The average loss of energy over one period of the elliptical motion of the two-body system is given, within the quadrupole approximation, by using the relative motion in the post-Newtonian centre of the mass frame. More explicit formulae are derived for the elliptical orbits and detailed results are presented for the circular orbits assuming small orbital velocities compared to the velocity of light. On the other hand, using the defined Lagrangian the author gives the integrals of motion.

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