The post-Newtonian relative orbit of the two-body system. Gravitational radiation
type: Item
instance of: scholarly article
title: The post-Newtonian relative orbit of the two-body system. Gravitational radiation
zbMATH Open document ID: 0633.70014
DOI: 10.1007/BF00643977
author: Demetrios D. Dionysiou
published in: Astrophysics and Space Science
publication date: 1986-01-01T00:00:00Z
review text: 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 we give the integrals of motion.
Mathematics Subject Classification ID: 70H40
Mathematics Subject Classification ID: 70F05
Mathematics Subject Classification ID: 83C25
zbMATH DE Number: 4031081
zbMATH Keywords: post-Newtonian relative orbit
zbMATH Keywords: average loss of energy
zbMATH Keywords: elliptical motion of the two-body system
zbMATH Keywords: quadrupole approximation
zbMATH Keywords: circular orbits
MaRDI profile type: Publication
cites work: Gravitational Radiation from Point Masses in a Keplerian Orbit
description: scientific article; zbMATH DE number 4031081