Analytic Keplerian-type parametrization for general spinning compact binaries with the leading order spin-orbit interaction

Abstract

We derive a fully analytic Keplerian-type parametrization solution to conservative motion of spinning binary in ADM gauge. This solution is able to describe three dimensional motion of binaries of arbitrary eccentricity, mass ratio and initial configuration of spin angular momentum up to the leading order of post-Newtonian(PN) approximation and a linear order in spin. Based on our results waveforms can be quickly computed with high accuracy.

References in corpus (5)

• Robust parameter estimation for compact binaries with ground-based gravitational-wave observations using the LALInference software library
• Analysis of spin precession in binary black hole systems including quadrupole-monopole interaction
• Higher-order spin effects in the dynamics of compact binaries I. Equations of motion
• Effective potentials and morphological transitions for binary black-hole spin precession
• Center-of-Mass Equations of Motion and Conserved Integrals of Compact Binary Systems at the Fourth Post-Newtonian Order

Cited by in corpus (6)

• Gravitational radiation from inspiralling compact objects: Spin-spin effects completed at the next-to-leading post-Newtonian order
• Integrability of eccentric, spinning black hole binaries up to second post-Newtonian order
• Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order
• Resonant Islands of Effective-One-Body Dynamics
• Closed-form solutions of spinning, eccentric binary black holes at 1.5 post-Newtonian order
• Precisely computing bound orbits of spinning bodies around black holes I: General framework and results for nearly equatorial orbits