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We compute here the spin-orbit and spin-spin couplings needed for an accurate computation of the phasing of gravitational waves emitted by comparable-mass binaries on eccentric orbits at the second post-Newtonian (PN) order. We use a…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Antoine Klein , Philippe Jetzer

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…

Astrophysics · Physics 2016-08-16 Zoltán Keresztes , Balázs Mikóczi , László Á. Gergely

We present a new approach to studying the evolution of massive black hole binaries in a stellar environment. By imposing conservation of total energy and angular momentum in scattering experiments, we find the dissipation forces that are…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Yohai Meiron , Ari Laor

It has been suggested that amplitudes for quantum higher-spin massive particles exchanging gravitons lead, via a classical limit, to results for scattering of spinning black holes in general relativity, when the massive particles are in a…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Nils Siemonsen , Justin Vines

Building upon recent progress in applying on-shell amplitude techniques to classical observables in general relativity, we propose a closed-form formula for the conservative Hamiltonian of a spinning binary system at the 1st…

High Energy Physics - Theory · Physics 2020-12-22 Ming-Zhi Chung , Yu-tin Huang , Jung-Wook Kim , Sangmin Lee

In this article the quasi-Keplerian parameterisation for the case that spins and orbital angular momentum in a compact binary system are aligned or anti-aligned with the orbital angular momentum vector is extended to 3PN point-mass,…

General Relativity and Quantum Cosmology · Physics 2015-12-08 Manuel Tessmer , Johannes Hartung , Gerhard Schäfer

The phase space of a Hamiltonian system is symplectic. However, the post-Newtonian Hamiltonian formulation of spinning compact binaries in existing publications does not have this property, when position, momentum and spin variables $[X, P,…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Xin Wu , Yi Xie

To describe a general bound binary black hole system, we need to consider orbital eccentricity and the misalignment of black holes' spin vectors with respect to the orbital angular momentum. While binary black holes produced through many…

High Energy Astrophysical Phenomena · Physics 2025-05-13 Amitesh Singh , Nathan K. Johnson-McDaniel , Anuradha Gupta , Khun Sang Phukon

We investigate the measurability of effective inspiral spin in the detectable compact binary mergers using gravitational-wave observations. Measurements from the latest gravitational-wave transient catalog do not rule out the existence of…

General Relativity and Quantum Cosmology · Physics 2025-10-31 Souradeep Pal

The stellar spin orientation relative to the orbital planes of multiplanet systems are becoming accessible to observations. Here, we analyze and classify different types of spin-orbit evolution in compact multiplanet systems perturbed by an…

Earth and Planetary Astrophysics · Physics 2015-06-19 Gwenaël Boué , Daniel Fabrycky

We extend our previous work devoted to the computation of the next-to-next-to-leading order spin-orbit correction (corresponding to 3.5PN order) in the equations of motion of spinning compact binaries, by: (i) Deriving the corresponding…

General Relativity and Quantum Cosmology · Physics 2013-04-03 Alejandro Bohé , Sylvain Marsat , Guillaume Faye , Luc Blanchet

Space-based gravitational-wave detectors such as LISA are expected to detect inspirals of stellar-mass compact objects into massive black holes. Modeling such inspirals requires fully relativistic computations to achieve sufficient accuracy…

General Relativity and Quantum Cosmology · Physics 2024-12-19 Viktor Skoupý , Vojtěch Witzany

Using an effective potential method we examine binary black holes where the individual holes carry spin. We trace out sequences of quasi-circular orbits and locate the innermost stable circular orbit as a function of spin. At large…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Harald P. Pfeiffer , Saul A. Teukolsky , Gregory B. Cook

We study orbital inclination changes associated with the precession of a disc-planet system that occurs through gravitational interaction with a binary companion on an inclined orbit. We investigate whether this scenario can account for…

Earth and Planetary Astrophysics · Physics 2014-02-14 M. Xiang-Gruess , J. C. B. Papaloizou

Binary black holes with spins that are aligned with the orbital angular momentum do not precess. However, post-Newtonian calculations predict that "up-down" binaries, in which the spin of the heavier (lighter) black hole is aligned…

General Relativity and Quantum Cosmology · Physics 2021-03-10 Vijay Varma , Matthew Mould , Davide Gerosa , Mark A. Scheel , Lawrence E. Kidder , Harald P. Pfeiffer

Massive black hole (MBH) binary inspiral time scales are uncertain, and their spins are even more poorly constrained. Spin misalignment, along with unequal mass ratios and spin magnitudes, introduces asymmetry in the gravitational…

Astrophysics of Galaxies · Physics 2021-05-21 Mohammad Sayeb , Laura Blecha , Luke Zoltan Kelley , Davide Gerosa , Michael Kesden , July Thomas

We study the general relativistic periastron advance in spinning black hole binaries on quasi-circular orbits, with spins aligned or anti-aligned with the orbital angular momentum, using numerical-relativity simulations, the post-Newtonian…

We revisit the problem of predicting the spin magnitude and direction of the black hole resulting from the merger of two black holes with arbitrary masses and spins inspiralling in quasi-circular orbits. We do this by analyzing a catalog of…

General Relativity and Quantum Cosmology · Physics 2016-07-13 Fabian Hofmann , Enrico Barausse , Luciano Rezzolla

We provide ready-to-use time-domain gravitational waveforms for spinning compact binaries with precession effects through 1.5PN order in amplitude and compute their mode decomposition using spin-weighted -2 spherical harmonics. In the…

General Relativity and Quantum Cosmology · Physics 2015-03-13 K. G. Arun , Alessandra Buonanno , Guillaume Faye , Evan Ochsner

We derived a post-Newtonian (PN) inspiral only gravitational waveform for unequal mass, spinning black hole binaries. Towards the end of the inspiral the larger spin dominates over the orbital angular momentum (while the smaller spin is…

General Relativity and Quantum Cosmology · Physics 2014-09-12 Márton Tápai , Zoltán Keresztes , László Árpád Gergely
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