Eccentric Motion of Spinning Compact Binaries

Abstract

The equations of motion for spinning compact binaries on eccentric orbits are treated perturbatively in powers of a fractional mass-difference ordering parameter. The solution is valid through first order in the mass-difference parameter. A canonical point transformation removes the leading order terms of the spin-orbit Hamiltonian which induce a wiggling precession of the orbital angular momentum around the conserved total angular momentum, a precession which disappears in the case of equal masses or one single spin. Action-angle variables are applied which make a canonical perturbation theory easily treatable.

15 pages, 1 figure

References in corpus (9)

• Gravitational waves from scattering of stellar-mass black holes in galactic nuclei
• Higher-order spin effects in the dynamics of compact binaries I. Equations of motion
• Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling
• Effective one body approach to the dynamics of two spinning black holes with next-to-leading order spin-orbit coupling
• Inspiralling compact binaries in quasi-elliptical orbits: The complete third post-Newtonian energy flux
• Tail effects in the third post-Newtonian gravitational wave energy flux of compact binaries in quasi-elliptical orbits
• Gravitational waveforms for spinning compact binaries
• Full-analytic frequency-domain 1pN-accurate gravitational wave forms from eccentric compact binaries
• Next-to-leading order spin-orbit and spin(a)-spin(b) Hamiltonians for n gravitating spinning compact objects