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Observations indicate that members of close stellar binaries often have mass ratios close to unity, while longer-period systems exhibit a more uniform mass-ratio distribution. This paper provides a theoretical explanation for this finding…

Solar and Stellar Astrophysics · Physics 2020-04-08 Fred C. Adams , Konstantin Batygin , Anthony M. Bloch

We study equilibrium sequences of close binary systems on circular orbits and composed of different mass stars with polytropic equation of state in Newtonian gravity. The solving method is a multidomain spectral method which we have…

Astrophysics · Physics 2009-11-07 Keisuke Taniguchi , Eric Gourgoulhon

We study zoom-whirl behaviour of equal mass, non-spinning black hole binaries in full general relativity. The magnitude of the linear momentum of the initial data is fixed to that of a quasi-circular orbit, and its direction is varied. We…

General Relativity and Quantum Cosmology · Physics 2010-05-07 Roman Gold , Bernd Bruegmann

The equilibrium of incompressible spheroid-ring systems in rigid rotation is investigated by numerical means for a unity density contrast. A great diversity of binary configurations is obtained, with no limit neither in the mass ratio, nor…

Solar and Stellar Astrophysics · Physics 2019-07-19 B. Basillais , J. -M. Huré

In this article, equilibrium points and families of periodic orbits in the vicinity of the collinear equilibrium points of a binary asteroid system are investigated with respect to the angular velocity of the secondary body, the mass ratio…

Earth and Planetary Astrophysics · Physics 2023-07-26 L. B. T. Santos , Allan Kardec de Almeida , P. A. Sousa-Silva , M. O. Terra , D. M. Sanchez , S. Aljbaae , A. F. B. A. Prado , F Monteiro

We perform fully relativistic calculations of binary neutron stars in corotating, circular orbit. While Newtonian gravity allows for a strict equilibrium, a relativistic binary system emits gravitational radiation, causing the system to…

General Relativity and Quantum Cosmology · Physics 2016-08-25 T. W. Baumgarte , G. B. Cook , M. A. Scheel , S. L. Shapiro , S. A. Teukolsky

We describe in this work a thorough study of the physical and orbital characteristics of extensively observed main-belt and Trojan binaries, mainly taken from the LAOSA (Large Adaptive Optics Survey of Asteroids, Marchis et al., 2006c)…

Astrophysics · Physics 2009-11-13 Pascal Descamps , Franck Marchis

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

In this paper we classify the free boundary associated to equilibrium configurations of compressible, self-gravitating fluid masses, rotating with constant angular velocity. The equilibrium configurations are all critical points of an…

Analysis of PDEs · Mathematics 2012-10-16 Sagun Chanillo , Georg S. Weiss

We perform fully relativistic calculations of binary neutron stars in quasi-equilibrium circular orbits. We integrate Einstein's equations together with the relativistic equation of hydrostatic equilibrium to solve the initial value problem…

General Relativity and Quantum Cosmology · Physics 2009-10-30 T. W. Baumgarte , G. B. Cook , M. A. Scheel , S. L. Shapiro , S. A. Teukolsky

Using the first law of binary black-hole mechanics, we compute the binding energy E and total angular momentum J of two non-spinning compact objects moving on circular orbits with frequency Omega, at leading order beyond the test-particle…

General Relativity and Quantum Cosmology · Physics 2012-08-22 Alexandre Le Tiec , Enrico Barausse , Alessandra Buonanno

Using equations of motion accurate to the third post-Newtonian (3PN) order (O(v/c)^6 beyond Newtonian gravity), we derive expressions for the total energy E and angular momentum J of the orbits of compact binary systems (black holes or…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Thierry Mora , Clifford M. Will

During the violent relaxation of a self-gravitating system a significant fraction of its mass may be ejected. If the time varying gravitational field also breaks spherical symmetry this mass can potentially carry angular momentum. Thus…

Astrophysics of Galaxies · Physics 2016-01-13 D. Benhaiem , M. Joyce , F. Sylos Labini , T. Worrakitpoonpon

The orbital energy and momentum of the compact binary systems will loss due to gravitational radiation. Based on the mass and mass-current multipole moments of the binary system with the spin vector defined by Boh\'{e} et al. [Class.…

General Relativity and Quantum Cosmology · Physics 2024-02-06 Hao Zhang , Wei Gao , Guansheng He , Siming Liu , Huanyu Jia , Wenbin Lin

The gravitational field of a massive, filamentary ring is considered. We provide an analytic expression for the gravitational potential and demonstrate that the exact gravitational potential and its gradient, thus the gravitational…

Soft Condensed Matter · Physics 2019-05-22 Daniel Schumayer , David A. W. Hutchinson

We study gravitational radiation reaction in the equations of motion for binary systems with spin-orbit coupling, at order (v/c)^7 beyond Newtonian gravity, or O(v/c)^2 beyond the leading radiation reaction effects for non-spinning bodies.…

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

Compact orbiting binaries like the black hole binary system observed in GW150914 carry large amount of orbital angular momentum. The post-ringdown compact object formed after merger of such a binary configuration has only spin angular…

General Relativity and Quantum Cosmology · Physics 2020-05-20 Pratyusava Baral , Anarya Ray , Ratna Koley , Parthasarathi Majumdar

The recent gravitational wave observations provide insight into the extreme gravity regime of coalescing binaries, where gravity is strong, dynamical and non-linear. The interpretation of these observations relies on the comparison of the…

General Relativity and Quantum Cosmology · Physics 2018-12-19 Alexander Saffer , Nicolas Yunes

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

A hierarchy of equations for equilibrium reduced density matrices obtained earlier is used to consider systems of spinless bosons bound by forces of gravity alone. The systems are assumed to be at absolute zero of temperature under…

Quantum Physics · Physics 2015-06-24 V. A. Golovko
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