The second post-newtonian order generalized kepler equation

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The radial component of the motion of compact binary systems composed of neutron stars and/or black holes on eccentric orbit is integrated. We consider all type of perturbations that emerge up to second post-Newtonian order. These perturbations are either of relativistic origin or are related to the spin, mass quadrupole and magnetic dipole moments of the binary components. We derive a generalized Kepler equation and investigate its domain of validity, in which it properly describes the radial motion.

Original languageEnglish
Title of host publication11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories - Proc. of the MG11 Meeting on General Relativity
PublisherWorld Scientific Publishing Co. Pte Ltd
Pages2503-2505
Number of pages3
ISBN (Print)9812834265, 9789812834263
DOIs
Publication statusPublished - Jan 1 2008
Event11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories, MG 2006 - Berlin, Germany
Duration: Jul 23 2006Jul 29 2006

Publication series

Name11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories - Proc. of the MG11 Meeting on General Relativity

Other

Other11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories, MG 2006
CountryGermany
CityBerlin
Period7/23/067/29/06

Keywords

  • Compact binaries
  • Post-Newtonian expansion
  • Quadrupole moment
  • Spin

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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  • Cite this

    Gergely, L. Á., Keresztes, Z., & Mikóczi, B. (2008). The second post-newtonian order generalized kepler equation. In 11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories - Proc. of the MG11 Meeting on General Relativity (pp. 2503-2505). (11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories - Proc. of the MG11 Meeting on General Relativity). World Scientific Publishing Co. Pte Ltd. https://doi.org/10.1142/9789812834300_0445