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Our aim is to calculate the evolution of Algol binaries within the framework of the osculating orbital theory, which considers the perturbing forces acting on the orbit of each star arising from mass exchange via Roche lobe overflow (RLOF).…

Solar and Stellar Astrophysics · Physics 2014-10-15 P. J. Davis , L. Siess , R. Deschamps

The equations of motion of a secularly precessing ellipse are developed using time as the independent variable. The equations are useful when integrating numerically the perturbations about a reference trajectory which is subject to secular…

Earth and Planetary Astrophysics · Physics 2015-06-11 Stefano Casotto , Massimo Bardella

Gravitational waves radiated during binary black hole coalescence is a perfect probe for studying the characteristics of strong gravity. Advanced techniques for creating numerical relativity substitute models for eccentric binary black hole…

General Relativity and Quantum Cosmology · Physics 2022-03-08 Sourav Roy Chowdhury , Maxim Khlopov

We extend our previous work on the evolution of close binary systems with misaligned orbital and spin angular momenta resulting from non-dissipative tidal interaction to include all physical effects contributing to apsidal motion. In…

Solar and Stellar Astrophysics · Physics 2023-09-13 P. B. Ivanov , J. C. B. Papaloizou

Context. The presence of a stellar companion can strongly influence the architecture and long-term stability of planetary systems. Motivated by the discovery of exoplanets exhibiting extremely high eccentricities (e >= 0.8) in systems with…

Earth and Planetary Astrophysics · Physics 2026-02-11 Milenne Ávila-Bravo , Carolina Charalambous , Claudia Aguilera-Gómez

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

Massive binary evolution models are needed to predict massive star populations in star forming galaxies, the supernova diversity, and the number and properties of gravitational wave sources. Such models are often computed using so called…

Solar and Stellar Astrophysics · Physics 2024-10-23 Christoph Schürmann , Norbert Langer , Joana A. Kramer , Pablo Marchant , Chen Wang , Koushik Sen

We analyse how drag forces modify the orbits of objects moving through extended gaseous distributions. We consider how hydrodynamic (surface area) drag forces and dynamical friction (gravitational) drag forces drive the evolution of orbital…

Earth and Planetary Astrophysics · Physics 2022-05-13 Ákos Szölgyén , Morgan MacLeod , Abraham Loeb

An accretion disk can be formed around a secondary star in a binary system when the primary companion leaves the Main sequence and starts to lose mass at an enhanced rate. We study the accretion disk evolution and planetary migration in…

Earth and Planetary Astrophysics · Physics 2025-02-05 Alexey D. Nekrasov , Viacheslav V. Zhuravlev , Sergei B. Popov

We study the dynamical evolution of eccentric massive black hole binaries (MBHBs) interacting with unbound stars by means of an extensive set of three body scattering experiments. Compared to previous studies, we extend the investigation…

A gap in exoplanets' radius distribution has been widely attributed to the photo-evaporation threshold of their progenitors' gaseous envelope. Giant impacts can also lead to substantial mass-loss. The outflowing gas endures tidal torque…

Earth and Planetary Astrophysics · Physics 2023-04-05 S. Wang , D. N. C. Lin

We present a systematic comparison between the tidal secular evolution timescales predicted by the direct numerical method and those given by the commonly used semi-analytic prescriptions implemented in 1-D hydrostatic binary evolution…

Solar and Stellar Astrophysics · Physics 2025-12-16 Meng Sun , Hongbo Xia , Seth Gossage , Vicky Kalogera , Jifeng Liu , Kyle Akira Rocha , Richard H. D. Townsend , Emmanouil Zapartas

The vast majority of massive binary systems in the universe is evidently unsuited to produce merging binary black holes. However, several narrow evolutionary paths of isolated massive binaries towards this goal have recently been…

Solar and Stellar Astrophysics · Physics 2025-12-24 Xiao-Tian Xu , Norbert Langer , Jakub Klencki , Chen Wang , Xiang-Dong Li

Equation of motion for the galactic tide is treated for the case of a comet situated in the Oort cloud of comets. We take into account that galactic potential and mass density depend on a distance from the galactic equator and on a distance…

Earth and Planetary Astrophysics · Physics 2010-02-22 P. Pastor , J. Klacka , L. Komar

Massive bodies undergo orbital eccentricity oscillations when embedded in an axisymmetric disk of smaller mass orbits. These eccentricity oscillations are driven by secular torques that seek to equalize the apsidal precession rates of all…

Earth and Planetary Astrophysics · Physics 2020-01-08 Jacob Fleisig , Alexander Zderic , Ann-Marie Madigan

(Abridged) We investigate the dynamical evolution of coplanar hierarchical two-planet systems where the ratio of the orbital semimajor axes alpha=a_1/a_2 is small. The orbital parameters obtained from a multiple Kepler fit to the radial…

Astrophysics · Physics 2009-11-07 Man Hoi Lee , S. J. Peale

The distribution of the inner orbital periods of solar-type main-sequence (MS) triple star systems is known to be peaked at a few days, and this has been attributed to tidal evolution combined with eccentricity excitation due to Lidov-Kozai…

Solar and Stellar Astrophysics · Physics 2018-11-07 Adrian S. Hamers

The loss of orbital energy and angular momentum to gravitational waves produced in a binary inspiral forces the orbital eccentricity to adiabatically evolve and oscillate. For comparable-mass binaries, the osculating eccentricity is thought…

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

We use three-dimensional hydrodynamical simulations to show that an initially mildly misaligned circumbinary accretion disk around an eccentric binary can evolve to an orientation that is perpendicular to the orbital plane of the binary…

Earth and Planetary Astrophysics · Physics 2017-02-08 Rebecca G. Martin , Stephen H. Lubow

Secular evolution of binaries driven by an external (tidal) potential is a classic astrophysical problem. Tidal perturbations can arise due to an external point mass, as in the Lidov-Kozai (LK) theory of hierarchical triples, or due to an…

Astrophysics of Galaxies · Physics 2021-05-20 Chris Hamilton , Roman R. Rafikov