Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aipc.1205...87g&link_type=abstract
THE SUN, THE STARS, THE UNIVERSE AND GENERAL RELATIVITY: International Conference in Honor of Ya.B. Zeldovich's 95th Anniversary
Astronomy and Astrophysics
Astronomy
Binary Stars, Black Holes, Quadrupole Moments, Relativistic Mechanics, Astrometric And Interferometric Binaries, Galactic Nuclei, Circumnuclear Matter, And Bulges, Electromagnetic Moments, Mathematical And Relativistic Aspects Of Cosmology
Scientific paper
By the use of Einstein-Infeld-Hoffmann method, the equations of motion of a binary star system in the field of a supermassive black hole are derived. In spite of the fact that the motion of a binary system as a whole can be relativistic or even ultra-relativistic with respect to the supermassive black hole, it is shown, that under the assumption of non-relativistic relative motion of the stars in binary system, the motion of the binary system as a whole satisfies the Mathisson-Papapetrou equations with additional terms depending on quadrupole moments. Exemplary case of ultrarelativistic motion of a binary neutron star in the vicinity of non-rotating black hole is considered. It it shown that the motion of binary's center of mass may considerably differ from geodesic motion.
Bobrik Alexey
Gorbatsievich Alexander
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