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The aim of this work is to study the impact of a binary companion on the evolution of two-planet systems during both the type-II migration phase and their long-term evolution after the dissipation of the protoplanetary disk. We use the…

Earth and Planetary Astrophysics · Physics 2022-08-17 Arnaud Roisin , Nikita Doukhanin , Jean Teyssandier , Anne-Sophie Libert

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

Using 3D radiation-hydrodynamic simulations and analytic theory, we study the orbital evolution of asymptotic-giant-branch (AGB) binary systems for various initial orbital separations and mass ratios, and thus different initial accretion…

Solar and Stellar Astrophysics · Physics 2017-09-08 Zhuo Chen , Eric G. Blackman , Jason Nordhaus , Adam Frank , Jonathan Carroll-Nellenback

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

Compact binary systems coalesce over time due to the radiation of gravitational waves, following the field equations of general relativity. Conservation of energy and angular momentum gives a mathematical description for the evolution of…

High Energy Astrophysical Phenomena · Physics 2020-04-10 Lutendo Nyadzani , Soebur Razzaque

In our Solar system, spin-orbit coupling is a common phenomenon in binary asteroid systems, where the mutual orbits are no longer invariant due to exchange of angular momentum between translation and rotation. In this work, dynamical…

Earth and Planetary Astrophysics · Physics 2024-07-31 Hanlun Lei

We provide ready-to-use time-domain gravitational waveforms for spinning compact binaries with precession effects through 1.5PN order in amplitude and compute their mode decomposition using spin-weighted -2 spherical harmonics. In the…

General Relativity and Quantum Cosmology · Physics 2015-03-13 K. G. Arun , Alessandra Buonanno , Guillaume Faye , Evan Ochsner

We compute the leading and sub-leading spin effects through the second post-Newtonian order (2PN) in spherical harmonic modes of gravitational waveforms from inspiralling compact binaries in non-circular orbits with non-precessing…

General Relativity and Quantum Cosmology · Physics 2023-08-07 Kaushik Paul , Chandra Kant Mishra

In this article, we explore both numerically and analytically how the dynamical environments of mildly relativistic binaries evolve with increasing the general relativity factor $\gamma$ (the normalized inverse of the binary size measured…

Earth and Planetary Astrophysics · Physics 2019-09-25 Ivan I. Shevchenko , Guillaume Rollin , José Lages

The spin memory effect is a recently predicted relativistic phenomenon in asymptotically flat spacetimes that become nonradiative infinitely far in the past and future. Between these early and late times, the magnetic-parity part of the…

General Relativity and Quantum Cosmology · Physics 2017-04-28 David A. Nichols

Previous work has shown that interactions between a central binary system and a circumbinary disc (CBD) can lead to the binary orbit either shrinking or expanding, depending on the properties of the disc. In this work, we perform…

Earth and Planetary Astrophysics · Physics 2024-01-22 George Turpin , Richard Nelson

The orbital and eccentricity evolution for compact object binaries through gravitational wave emission first derived by Peters and Mathews are used extensively throughout the gravitational wave community for calculating the orbital…

High Energy Astrophysical Phenomena · Physics 2026-03-23 Max M. Briel , Jeff J. Andrews

We discuss the influence of tidal spin-orbit interactions on the orbital dynamics of close intermediate-mass X-ray binaries. In particular we consider here a process in which spin angular momentum of a contracting RLO donor star, in a…

Astrophysics · Physics 2007-05-23 T. M. Tauris , G. J. Savonije

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

Tight and compact binary systems, such as double neutron star binaries, are believed to undergo a common envelope evolution phase, resulting in strongly bound orbits. During this phase, the outer layers of the primary star are expelled,…

Solar and Stellar Astrophysics · Physics 2026-03-31 Shigeyuki Karino , Kenji Nakamura

A precessing source frame, constructed using the Newtonian orbital angular momentum ${\bf L_{\rm N}}$, can be invoked to model inspiral gravitational waves from generic spinning compact binaries. An attractive feature of such a precessing…

General Relativity and Quantum Cosmology · Physics 2015-08-06 Anuradha Gupta , Achamveedu Gopakumar

We provide an analytical approximation to the dynamics in each of the three most important low order secondary resonances (1:1, 2:1, and 3:1) bifurcating from the synchronous primary resonance in the gravitational spin-orbit problem. To…

Earth and Planetary Astrophysics · Physics 2019-05-07 Ioannis Gkolias , Christos Efthymiopoulos , Alessandra Celletti , Giuseppe Pucacco

We develop a fourth-order numerical integrator to simulate the coupled spin and orbital motions of two rigid bodies having arbitrary mass distributions under the influence of their mutual gravitational potential. We simulate the dynamics of…

Earth and Planetary Astrophysics · Physics 2015-02-06 Shantanu P. Naidu , Jean-Luc Margot

In the near-Earth asteroid population, binary and triple systems have been discovered with mutual orbits that have significant eccentricities as well as large semi-major axes. All known systems with eccentric orbits and all widely-separated…

Earth and Planetary Astrophysics · Physics 2015-06-03 Julia Fang , Jean-Luc Margot

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