The 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.

References in corpus (6)

• Transition from inspiral to plunge in precessing binaries of spinning black holes
• Self-interaction spin effects in inspiralling compact binaries
• Search for gravitational waves from galactic and extra--galactic binary neutron stars
• Search for gravitational waves from binary black hole inspirals in LIGO data
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Cited by in corpus (20)

• Analysis of spin precession in binary black hole systems including quadrupole-monopole interaction
• The Science of the Einstein Telescope
• Fourier domain gravitational waveforms for precessing eccentric binaries
• Symplectic structure of post-Newtonian Hamiltonian for spinning compact binaries
• Parameter estimation for inspiraling eccentric compact binaries including pericenter precession
• Spin effects in the phasing of gravitational waves from binaries on eccentric orbits
• 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
• Gravitational waveforms for spinning compact binaries
• Computing waveforms for spinning compact binaries in quasi-eccentric orbits
• Canonical formulation of gravitating spinning objects at 3.5 post-Newtonian order
• Gravitational waves from binaries on unbound orbits
• Spinning compact binary dynamics and chameleon orbits
• Spinning compact binary inspiral II: Conservative angular dynamics
• The second post-Newtonian motion in Reissner-Nordström spacetime
• Eccentric Motion of Spinning Compact Binaries
• Secular momentum transport by gravitational waves from spinning compact binaries
• An Efficient Method for the Evaluation of Secular Effects in the Perturbed Keplerian Motion
• Renormalized 2PN spin contributions to the accumulated orbital phase for LISA sources
• Spin and quadrupolar effects in the secular evolution of precessing compact binaries with black hole, neutron star, gravastar, or boson star components
• Spin precession of binary neutron stars with magnetic dipole moments