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Title: Kepler equation for inspiralling compact binaries

Abstract

Compact binaries consisting of neutron stars/black holes on eccentric orbit undergo a perturbed Keplerian motion. The perturbations are either of relativistic origin or are related to the spin, mass quadrupole, and magnetic dipole moments of the binary components. The post-Newtonian motion of such systems decouples into radial and angular parts. We present here for the first time the radial motion of such a binary encoded in a generalized Kepler equation, with the inclusion of all above-mentioned contributions, up to linear order in the perturbations. Together with suitably introduced parametrizations, the radial motion is solved completely.

Authors:
; ;  [1]
  1. Departments of Theoretical and Experimental Physics, University of Szeged, Szeged 6720 (Hungary)
Publication Date:
OSTI Identifier:
20711575
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 72; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.72.104022; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BINARY STARS; BLACK HOLES; COSMOLOGY; DISTURBANCES; GRAVITATIONAL WAVES; MAGNETIC DIPOLE MOMENTS; NEUTRON STARS; QUADRUPOLES; RELATIVISTIC RANGE; SPIN

Citation Formats

Keresztes, Zoltan, Mikoczi, Balazs, and Gergely, Laszlo A. Kepler equation for inspiralling compact binaries. United States: N. p., 2005. Web. doi:10.1103/PhysRevD.72.104022.
Keresztes, Zoltan, Mikoczi, Balazs, & Gergely, Laszlo A. Kepler equation for inspiralling compact binaries. United States. doi:10.1103/PhysRevD.72.104022.
Keresztes, Zoltan, Mikoczi, Balazs, and Gergely, Laszlo A. Tue . "Kepler equation for inspiralling compact binaries". United States. doi:10.1103/PhysRevD.72.104022.
@article{osti_20711575,
title = {Kepler equation for inspiralling compact binaries},
author = {Keresztes, Zoltan and Mikoczi, Balazs and Gergely, Laszlo A.},
abstractNote = {Compact binaries consisting of neutron stars/black holes on eccentric orbit undergo a perturbed Keplerian motion. The perturbations are either of relativistic origin or are related to the spin, mass quadrupole, and magnetic dipole moments of the binary components. The post-Newtonian motion of such systems decouples into radial and angular parts. We present here for the first time the radial motion of such a binary encoded in a generalized Kepler equation, with the inclusion of all above-mentioned contributions, up to linear order in the perturbations. Together with suitably introduced parametrizations, the radial motion is solved completely.},
doi = {10.1103/PhysRevD.72.104022},
journal = {Physical Review. D, Particles Fields},
number = 10,
volume = 72,
place = {United States},
year = {Tue Nov 15 00:00:00 EST 2005},
month = {Tue Nov 15 00:00:00 EST 2005}
}