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The dynamics of a binary system with two spinning components on an eccentric orbit is studied, with the inclusion of the spin-spin interaction terms appearing at the second post-Newtonian order. A generalized true anomaly parametrization…

General Relativity and Quantum Cosmology · Physics 2009-10-31 László Á. Gergely

The secular evolution of a spinning, massive binary system in eccentric orbit is analyzed, expanding and generalizing our previous treatments of the Lense-Thirring motion and the one-spin limit. The spin-orbit and spin-spin effects up to…

General Relativity and Quantum Cosmology · Physics 2009-10-31 László Á. Gergely , Zoltán I. Perjés , Mátyás Vasúth

Starting with a post-Newtonian description of compact binary systems, we derive a set of equations that describes the evolution of the orbital angular momentum and both spin vectors during inspiral. We find regions of phase space that…

Astrophysics · Physics 2009-11-10 Jeremy D. Schnittman

Using post-Newtonian equations of motion for fluid bodies that include radiation-reaction terms at 2.5 and 3.5 post-Newtonian (PN) order (O[(v/c)^5] and O[(v/c)^7] beyond Newtonian order), we derive the equations of motion for binary…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Clifford M. Will

We review and summarize our results concerning the influence of the spins of a compact binary system on the motion of the binary and on its gravitational reaction. We describe briefly our method which lead us to compute the secular changes…

General Relativity and Quantum Cosmology · Physics 2007-05-23 László Á. Gergely , Zoltán Perjés , Mátyás Vasúth

We study the gravitational radiation reaction in compact binary systems composed of neutron stars with spin and huge magnetic dipole moments (magnetars). The magnetic dipole moments undergo a precessional motion about the respective spins.…

General Relativity and Quantum Cosmology · Physics 2016-08-16 Mátyás Vasúth , Zoltán Keresztes , András Mihály , László Á. Gergely

We compute the leading Post-Newtonian (PN) contributions at quadratic order in the spins to the radiation-reaction acceleration and spin evolution for binary systems, entering at four-and-a-half PN order. Our calculation includes the…

General Relativity and Quantum Cosmology · Physics 2017-11-08 Natália T. Maia , Chad R. Galley , Adam K. Leibovich , Rafael A. Porto

We compute the leading order contribution to radiative losses in the case of spinning binaries with aligned spins due to their spin-orbit interaction. The orbital average along hyperboliclike orbits is taken through an appropriate…

General Relativity and Quantum Cosmology · Physics 2023-09-04 Donato Bini , Andrea Geralico , Piero Rettegno

We compute the leading Post-Newtonian (PN) contributions at linear order in the spin to the radiation-reaction acceleration and spin evolution for binary systems, which enter at fourth PN order. The calculation is carried out, from first…

General Relativity and Quantum Cosmology · Physics 2017-11-08 Natália T. Maia , Chad R. Galley , Adam K. Leibovich , Rafael A. Porto

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

Compact binary systems with spinning components are considered. Finite size effects due to rotational deformation are taken into account. The dynamical evolution and next to leading order gravitational wave forms are calculated, taking into…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Dörte Hansen

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

Using post-Newtonian equations of motion for fluid bodies that include radiation-reaction terms at 2.5 and 3.5 post-Newtonian (PN) order O[(v/c)^5] and O[(v/c)^7] beyond Newtonian order), we derive the equations of motion for binary systems…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Han Wang , Clifford M. Will

We derive all second post-Newtonian (2PN), non-precessional effects of spin- orbit coupling on the gravitational wave forms emitted by an inspiraling binary composed of spinning, compact bodies in a quasicircular orbit. Previous post-…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Benjamin J. Owen , Hideyuki Tagoshi , Akira Ohashi

The evolution under radiation backreaction of a binary system consisting of a black hole and a companion is studied in the limiting case when the spin of the companion is negligible compared with the spin S of the black hole. To first order…

General Relativity and Quantum Cosmology · Physics 2007-05-23 László Á. Gergely , Zoltán Perjés , Mátyás Vasúth

Motivated by the search for gravitational waves emitted by binary black holes, we investigate the gravitational radiation field of point particles with spins within the framework of the multipolar-post-Newtonian wave generation formalism.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Luc Blanchet , Alessandra Buonanno , Guillaume Faye

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

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

The linear- and quadratic-in-spin contributions to the binding potential and gravitational-wave flux from binary systems are derived to next-to-next-to-leading order in the Post-Newtonian (PN) expansion of general relativity, including…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Gihyuk Cho , Rafael A. Porto , Zixin Yang

We analyse the conservative evolution of spinning compact binaries to second post-Newtonian (2PN) order accuracy, with leading order spin-orbit, spin-spin and mass quadrupole-monopole contributions included. As a main result we derive a…

General Relativity and Quantum Cosmology · Physics 2015-05-04 László Árpád Gergely , Zoltán Keresztes
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