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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

Binary black holes in which both spins are aligned with the binary's orbital angular momentum do not precess. However, the up-down configuration, in which the spin of the heavier (lighter) black hole is aligned (anti-aligned) with the…

General Relativity and Quantum Cosmology · Physics 2020-06-22 Matthew Mould , Davide Gerosa

Spin precession occurs in binary black holes whose spins are misaligned with the orbital angular momentum. Otherwise, the spin configuration is constant and the subsequent binary dynamics and gravitational-wave emission are much simpler. We…

General Relativity and Quantum Cosmology · Physics 2021-05-03 Matthew Mould

We establish the set of independent variables suitable to monitor the complicated evolution of the spinning compact binary during the inspiral. Our approach is valid up to the second post-Newtonian order, including leading order spin-orbit,…

General Relativity and Quantum Cosmology · Physics 2010-05-12 László Árpád Gergely

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

Binary black holes on quasicircular orbits with spins aligned with their orbital angular momentum have been testbeds for analytic and numerical relativity for decades, not least because symmetry ensures that such configurations are…

General Relativity and Quantum Cosmology · Physics 2015-10-06 Davide Gerosa , Michael Kesden , Richard O'Shaughnessy , Antoine Klein , Emanuele Berti , Ulrich Sperhake , Daniele Trifirò

We analyze the stability of relativistic, quasi-equilibrium binary neutron stars in synchronous circular orbit. We explore stability against radial collapse to black holes prior to merger, and against orbital plunge. We apply theorems based…

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

We investigate the dynamic stability of inspiraling neutron stars by performing multiple-orbit numerical relativity simulations of the binary neutron star inspiral process. By introducing eccentricities in the orbits of the neutron stars,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mark Miller

We considered the problem of stability for planets of finite mass in binary star systems. We selected a huge set of initial conditions for planetary orbits of the S-type, to perform high precision and very extended in time integrations. For…

Earth and Planetary Astrophysics · Physics 2020-08-26 Roberto Capuzzo-Dolcetta , Giovanni De Cesare , Alessio Marino

In previous hydrodynamical simulations, we found a mechanism for nearly circular binary stars, like Kepler-413, to trap two planets in a stable 1:1 resonance. Therefore, the stability of coorbital configurations becomes a relevant question…

Earth and Planetary Astrophysics · Physics 2023-12-06 Stefan Adelbert , Anna B. T. Penzlin , Christoph M. Schäfer , Wilhelm Kley , Billy Quarles , Rafael Sfair

We study the orbital stability of a non-zero mass, close-in circular orbit planet around an eccentric orbit binary for various initial values of the binary eccentricity, binary mass fraction, planet mass, planet semi--major axis, and planet…

Earth and Planetary Astrophysics · Physics 2020-04-29 Cheng Chen , Stephen H. Lubow , Rebecca G. Martin

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

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

With $n$-body simulations we investigate the stability of tilted circumbinary planetary systems consisting of two nonzero mass planets. The planets are initially in circular orbits that are coplanar to each other, as would be expected if…

Earth and Planetary Astrophysics · Physics 2023-03-29 Cheng Chen , Stephen H. Lubow , Rebecca G. Martin , C. J. Nixon

Planets that orbit only one of the stars in stellar binary systems (i.e., circumstellar) are dynamically constrained to a limited range of orbital parameters and thus understanding conditions on their stability is of great importance in…

Earth and Planetary Astrophysics · Physics 2020-02-11 Billy Quarles , Gongjie Li , Veselin Kostov , Nader Haghighipour

Many exoplanets are discovered in binary star systems in internal or in circumbinary orbits. Whether the planet can be habitable or not depends on the possibility to maintain liquid water on its surface, and therefore on the luminosity of…

Earth and Planetary Astrophysics · Physics 2021-06-23 G. De Cesare , R. Capuzzo-Dolcetta

We study the stability of rotating scalar boson stars, comparing those made from a simple massive complex scalar (referred to as mini boson stars), to those with several different types of nonlinear interactions. To that end, we numerically…

General Relativity and Quantum Cosmology · Physics 2021-02-16 Nils Siemonsen , William E. East

With n-body simulations and analytic approximations we study the dynamics and stability of low eccentricity misaligned test particles around binary systems with varying mass fraction and eccentricity. General relativity (GR) plays a primary…

High Energy Astrophysical Phenomena · Physics 2026-04-15 Gonzalo C. de Elía , Macarena Zanardi , Rebecca G. Martin

We reinvestigate the stability properties of ultracompact spinning boson stars with a stable light ring using fully nonlinear 3+1 and 2+1 numerical relativity simulations and two different formulations of the Einstein equations. We find no…

General Relativity and Quantum Cosmology · Physics 2026-02-18 Tamara Evstafyeva , Nils Siemonsen , William E. East

We show that under certain astrophysical conditions a binary system consisting of two compact objects can be stabilized against indefinite shrinking of orbits due to the emission of gravitational radiation. In this case, the lighter binary…

Astrophysics · Physics 2007-05-23 Sandip K. Chakrabarti
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