Special Solutions in a Simplified Restricted Three-Body Problem with Gravitational Radiation Taken into Account View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2003-03

AUTHORS

V. A. Brumberg

ABSTRACT

The distinctive feature of the relativistic restricted three-body problem within the c−5 order of accuracy (2 post-Newtonian approximation) is the presence of the gravitational radiation. To simplify the problem the motion of the massive binary components is assumed to be quasi-circular. In terms of time these orbits have linearly changing radii and quadratically changing phase angles. By substituting this motion into the Newtonian-like equations of motion one gets the quasi-Newtonian restricted quasi-circular three-body problem sufficient to take into account the main indirect perturbations caused by the binary radiation terms. Such problem admits the Lagrange-like quasi-libration solutions and rather simple quasi-circular orbits lying at large distance from the binary. More... »

PAGES

269-291

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1023/a:1022568504789

DOI

http://dx.doi.org/10.1023/a:1022568504789

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1042972493


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