Relativistic Kepler's third law

Details Relativistic Kepler's third law Relativistic Kepler's third law

Jun 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986apj...305..623b&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 305, June 15, 1986, p. 623-633.

Astronomy and Astrophysics

Astrophysics

9

Binary Stars, Celestial Mechanics, Kepler Laws, Pulsars, Quadrupoles, Equations Of Motion, Orthogonality, Stellar Motions

Scientific paper

The authors give a post-Newtonian generalization of Kepler's third law that includes spin and quadrupole moment effects, parameterized post-Newtonian parameters γ and β, and the Nordtvedt effect. The time from periastron to apastron is also found, and it turns out, in general, not to be equal to half the period. The results are given in a very general coordinate system which is specified by three arbitrary dimensionless parameters.

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