The post-Keplerian orbital representations of the relativistic two-body problem

Details The post-Keplerian orbital representations of the relativistic two-body problem The post-Keplerian orbital representations of the relativistic two-body problem

Jun 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...427..951k&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 427, no. 2, p. 951-955

Astronomy and Astrophysics

Astrophysics

8

Gravitation, Gravitational Fields, Kepler Laws, Orbit Perturbation, Relativity, Stellar Models, Two Body Problem, Binary Stars, Double Cusps, Parameterization, Pulsars

Scientific paper

Orbital parameterizations of the relativstic two-body problem due to Brumberg, Damour-Deruelle, Epstein-Haugan, and Blandford-Teukolsky as well as osculating elements are compared. Exact relations between constants describing the orbit in the parameterizations are derived. It is shown that all the parameterizations in question are valid not only in general relativity, but in a generic class of relatvistic theories of gravity. The obtained results provide us with an additional check of consistency of different models used in timing of binary pulsars.

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