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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

Eccentricity of binary systems is not a gauge invariant quantity, but has an important impact on the observed gravitational wave signal of such systems, generating power in all possible harmonics of the orbital period. We here clarify the…

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

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

We show that in a system of two planets initially in nearly circular orbits, an impulse perturbation that imparts a finite eccentricity to one planet's orbit causes the other planet's orbit to become eccentric as well, and also naturally…

Astrophysics · Physics 2009-11-07 Renu Malhotra

We study the orbital evolution of eccentric binary neutron stars. The orbit is described as a Quasi-Keplarian orbit with perturbations due to tidal couplings. We find that the tidal interaction between stars contributes to orbital…

General Relativity and Quantum Cosmology · Physics 2019-09-25 Huan Yang

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

The radiation reaction in compact spinning binaries on eccentric orbits due to the quadrupole-monopole interaction is studied. This contribution is of second post-Newtonian order. As result of the precession of spins the magnitude $L$ of…

General Relativity and Quantum Cosmology · Physics 2009-11-07 László Á. Gergely , Zoltán Keresztes

We investigate the secular evolution of the orbital semi-major axis and eccentricity due to mass transfer in eccentric binaries, allowing for both mass and angular momentum loss from the system. Adopting a delta function mass transfer rate…

Solar and Stellar Astrophysics · Physics 2009-09-28 J. F. Sepinsky , B. Willems , V. Kalogera , F. A. Rasio

A particle orbiting a misaligned eccentric orbit binary undergoes nodal precession either around the binary angular momentum vector (a circulating orbit) or around a stationary inclination (a librating orbit). In the absence of general…

Earth and Planetary Astrophysics · Physics 2022-04-20 Stephen Lepp , Rebecca G. Martin , Anna C. Childs

The inspiral and merger of eccentric binaries leads to gravitational waveforms distinct from those generated by circularly merging binaries. Dynamical environments can assemble binaries with high eccentricity and peak frequencies within the…

High Energy Astrophysical Phenomena · Physics 2015-06-16 Johan Samsing , Morgan MacLeod , Enrico Ramirez-Ruiz

Motivated by misaligned discs observed in eccentric orbit Be/X-ray binaries, we examine the evolution of a retrograde disc around one component of an eccentric binary with hydrodynamic simulations, $n$-body simulations and linear theory.…

Solar and Stellar Astrophysics · Physics 2025-04-11 Madeline Overton , Rebecca G. Martin , Stephen H. Lubow , Stephen Lepp

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

One of the promising sources of gravitational radiation is a binary system composed of compact stars. It is an important question how the rotation of the bodies and the eccentricity of the orbit affect the detectable signal. Here we present…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Mátyás Vasúth , János Majár

Circumbinary discs are generally thought to take up angular momentum and energy from the binary orbit over time through gravitational torques mediated by orbital resonances. This process leads to the shrinkage of the binary orbit over time,…

High Energy Astrophysical Phenomena · Physics 2020-07-24 Ryan Heath , Chris Nixon

We investigate the orbital dynamics of circumbinary planetary systems with two planets around a circular or eccentric orbit binary. The orbits of the two planet are initially circular and coplanar to each other, but misaligned with respect…

Earth and Planetary Astrophysics · Physics 2021-12-15 Cheng Chen , Stephen H. Lubow , Rebecca G. Martin

We investigate the secular evolution of the orbital semi-major axis and eccentricity due to mass transfer in eccentric binaries, assuming conservation of total system mass and orbital angular momentum. Assuming a delta function mass…

Astrophysics · Physics 2009-11-13 J. F. Sepinsky , B. Willems , V. Kalogera , F. A. Rasio

To first approximation, a binary system conserves its angular momentum while it evolves to its state of minimum kinetic energy: circular orbit, all spins aligned, and components rotating in synchronism with the orbital motion. The pace at…

Astrophysics · Physics 2009-11-13 Jean-Paul Zahn

The rotation of the bodies and the eccentricity of the orbit have significant effects on the emitted gravitational radiation of binary systems. This work focuses on the evaluation of the gravitational wave polarization states for spinning…

General Relativity and Quantum Cosmology · Physics 2008-11-26 János Majár , Mátyás Vasúth

Compact object binaries formed from dynamics interactions will generically have non-zero orbital eccentricity. The gravitational waves from such binaries can change drastically depending on how large the eccentricity is, ranging from…

General Relativity and Quantum Cosmology · Physics 2021-08-31 Nicholas Loutrel

We study the secular dynamics of compact binaries (consisting of white dwarfs, neutron stars or black holes) with tertiary companions in hierarchical triple systems. As the inner binary (with initially negligible eccentricity) undergoes…

High Energy Astrophysical Phenomena · Physics 2017-06-19 Bin Liu , Dong Lai , Ye-Fei Yuan
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