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We investigate the dynamics of spinning binaries of compact objects at the next-to-leading order in the quadratic-in-spin effects, which corresponds to the third post-Newtonian order (3PN). Using a Dixon-type multipolar formalism for…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Alejandro Bohé , Guillaume Faye , Sylvain Marsat , Edward K Porter

We discuss precessing compact binaries on eccentric orbit with gravastar, black hole, neutron star, or boson star components. We derive secular evolution equations to second post-Newtonian--order accuracy, with leading-order spin-orbit,…

General Relativity and Quantum Cosmology · Physics 2022-10-04 Zoltán Keresztes , Márton Tápai , László Árpád Gergely

A quasi-Keplerian parameterisation for the solutions of second post-Newtonian (PN) accurate equations of motion for spinning compact binaries is obtained including leading order spin-spin and next-to-leading order spin-orbit interactions.…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Manuel Tessmer , Johannes Hartung , Gerhard Schaefer

We calculate the gravitational waveform for spinning, precessing compact binary inspirals through second post-Newtonian order in the amplitude. When spins are collinear with the orbital angular momentum and the orbits are quasi-circular, we…

General Relativity and Quantum Cosmology · Physics 2013-03-19 Alessandra Buonanno , Guillaume Faye , Tanja Hinderer

Searches for gravitational waves from compact binaries focus mostly on quasi-circular motion, with the rationale that wave emission circularizes the orbit. Here, we study the generality of this result, when astrophysical environments (e.g.,…

General Relativity and Quantum Cosmology · Physics 2021-01-20 Vitor Cardoso , Caio F. B. Macedo , Rodrigo Vicente

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…

General Relativity and Quantum Cosmology · Physics 2014-06-03 Manuel Tessmer , Gerhard Schäfer

Gravitational waves provide us with a new window into our Universe, and have already been used to place strong constrains on the existence of light scalar fields, which are a common feature in many alternative theories of gravity. However,…

General Relativity and Quantum Cosmology · Physics 2021-10-28 Philippe Brax , Anne-Christine Davis , Scott Melville , Leong Khim Wong

We establish the evolution equations of the set of independent variables characterizing the 2PN rigorous conservative dynamics of a spinning compact binary, with the inclusion of the leading order spin-orbit, spin-spin and mass quadrupole -…

General Relativity and Quantum Cosmology · Physics 2010-12-09 László Árpád Gergely

We compute the conservative dynamics of non-spinning binaries at fourth Post-Minkowskian order in the large-eccentricity limit, including both potential and radiation-reaction tail effects. This is achieved by obtaining the scattering angle…

High Energy Physics - Theory · Physics 2022-05-30 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto

The richness of dynamical behavior exhibited by the rotational states of various solar system objects has driven significant advances in the theoretical understanding of their evolutionary histories. An important factor that determines…

Earth and Planetary Astrophysics · Physics 2015-09-16 Konstantin Batygin , Alessandro Morbidelli

In this article, we focus on the effects of mass transfer between binary stars and stellar spin on the post-Newtonian (PN) orbital evolution and gravitational waveforms of compact binary systems. We employ the 2.5PN approximation and the…

General Relativity and Quantum Cosmology · Physics 2025-02-24 Yifan He , Jie Yang

In this study, we formulate a set of differential equations for a binary system to describe the secular-tidal evolution of orbital elements, rotational dynamics, and deformation (flattening), under the assumption that one body remains…

Earth and Planetary Astrophysics · Physics 2024-02-19 Clodoaldo Ragazzo , Lucas Ruiz dos Santos

We use effective field theory techniques to compute the potentials due to spin-spin and spin-orbit effects, from which the spin(1)spin(2) contribution to the motion of spinning compact binaries to third Post-Newtonian (PN) order follow. We…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Rafael A. Porto , Ira Z. Rothstein

Exploiting simple yet remarkable properties of relativistic gravitational scattering, we use first-order self-force (linear-in-mass-ratio) results to obtain arbitrary-mass-ratio results for the complete third-subleading post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Andrea Antonelli , Chris Kavanagh , Mohammed Khalil , Jan Steinhoff , Justin Vines

Beyond point mass effects various contributions add to the radiative evolution of compact binaries. We present all the terms up to the second post-Newtonian order contributing to the rate of increase of gravitational wave frequency and the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Mátyás Vasúth , Balázs Mikóczi

We analytically compute the orbital effects induced on the motion of a spinning particle geodesically traveling around a central rotating body by the general relativistic two-body spin-spin and spin-orbit interactions. We use the weak-field…

General Relativity and Quantum Cosmology · Physics 2012-03-13 Lorenzo Iorio

Given the absence of observations of black hole binaries, it is critical that the full range of accessible parameter space be explored in anticipation of future observation with gravitational wave detectors. To this end, we compile the…

General Relativity and Quantum Cosmology · Physics 2011-07-29 Janna Levin , Sean T. McWilliams , Hugo Contreras

Finite eccentricities in mass-transferring eccentric binary systems can be explained by taking into account mass-loss and mass-transfer processes that often occur in these systems. These processes can be treated as perturbations to the…

Solar and Stellar Astrophysics · Physics 2016-07-06 Fani Dosopoulou , Vicky Kalogera

It is standard lore that gravitational radiation reaction circularizes the orbits of inspiralling binary systems. But in recent papers, Loutrel et al. have argued that at late times in such inspirals, one measure of eccentricity actually…

General Relativity and Quantum Cosmology · Physics 2019-10-14 Clifford M. Will

The loss of orbital energy and angular momentum to gravitational waves produced in a binary inspiral forces the orbital eccentricity to adiabatically evolve and oscillate. For comparable-mass binaries, the osculating eccentricity is thought…

General Relativity and Quantum Cosmology · Physics 2019-01-21 Nicholas Loutrel , Samuel Liebersbach , Nicolas Yunes , Neil Cornish