Spin effects in gravitational radiation back reaction. III. Compact binaries with two spinning components

1998/08/24 by L. Gergely, László Á. Gergely, Zoltán Perjés +3 · 4 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #gr-qc

paper · pdf · doi:10.1103/physrevd.58.124001

published as Phys.Rev. D58 (1998) 124001 · 10 pages, 1 figure

arxiv created 1998/08/24 · openalex publication_date 1998/10/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The secular evolution of a spinning, massive binary system in eccentric orbit is analyzed, expanding and generalizing our previous treatments of the Lense-Thirring motion and the one-spin limit. The spin-orbit and spin-spin effects up to the 3/2 post-Newtonian order are considered, both in the equations of motion and in the radiative losses. The description of the orbit in terms of the true anomaly parametrization provides a simple averaging technique, based on the residue theorem, over eccentric orbits. The evolution equations of the angle variables characterizing the relative orientation of the spin and orbital angular momenta reveal a speed-up effect due to the eccentricity. The dissipative evolution of the relevant dynamical and angular variables is presented in the form of a closed system of differential equations.

Citations

• Effect of gravitational radiation reaction on nonequatorial orbits around a Kerr black hole

Cited by

• Motion and gravitational wave forms of eccentric compact binaries with orbital-angular-momentum-aligned spins under next-to-leading order in spin–orbit and leading order in spin(1)–spin(2) and spin-squared couplings
• Spinning compact binary inspiral. II. Conservative angular dynamics
• Spin-orbit resonance and the evolution of compact binary systems
• Gravitational waves from spinning eccentric binaries