Astronomy and Astrophysics – Astronomy
Scientific paper
May 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981gregr..13..473s&link_type=abstract
General Relativity and Gravitation, vol. 13, May 1981, p. 473-485.
Astronomy and Astrophysics
Astronomy
9
Astrodynamics, Binary Stars, Celestial Mechanics, Relativity, Differential Equations, Ellipses, Equations Of Motion, Kepler Laws, Orbital Elements
Scientific paper
The results of a systematic study of the dynamics of realistic binary systems in the post-Newtonian approximation (PNA) of general relativity are presented. Definitions valid in the PNA for the self-angular-momenta of the binary's members as well as for the angular momentum of their relative orbital motion are proposed, and the conditions under which they are constant in the PNA are examined. This makes it possible to define to the same approximation the plane relative orbital motion. The form of the differential equations is found from an integration, of which it is proved that in the PNA the relative motion is a precessing ellipse composed of a basic orbit and a correction, both of which are of post-Newtonian character. Finally, the polar equation of the ellipse is used to define the elements of the post-Newtonian relative basic orbit and to derive the precessional motion of the relative orbit's pericenter.
No associations
LandOfFree
Relativistic celestial mechanics of binary stars does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Relativistic celestial mechanics of binary stars, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relativistic celestial mechanics of binary stars will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1441417