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Major (exo)planetary and satellite bodies seem to concentrate at intermediate areas of the radial distributions of all the objects present in each (sub)system. We prove rigorously that the secular evolution of (exo)planets and satellites…

Earth and Planetary Astrophysics · Physics 2021-01-22 Dimitris M. Christodoulou , Demosthenes Kazanas

Tidal evolution of eccentric binary systems containing at least one massive main-sequence (MS) star plays an important role in the formation scenarios of merging compact-object binaries. The dominant dissipation mechanism in such systems…

Solar and Stellar Astrophysics · Physics 2022-01-05 Yubo Su , Dong Lai

I calculate the classical effects induced by an isotropic mass loss of a body on the orbital motion of a test particle around it; the present analysis is also valid for a variation of the Newtonian constant of gravitation. I perturbatively…

General Relativity and Quantum Cosmology · Physics 2009-12-31 Lorenzo Iorio

We develop a technique for estimating the inner eccentricity in hierarchical triple systems, with the inner orbit being initially circular, while the outer one is eccentric. We consider coplanar systems with well separated components and…

Earth and Planetary Astrophysics · Physics 2014-08-27 Nikolaos Georgakarakos

We use a hybrid N-body program to study the evolution of massive black hole binaries in the centers of galaxies, mainly to understand the factors affecting the binary eccentricity, the response of the galaxy to the binary merger, and the…

Astrophysics · Physics 2009-10-30 Gerald D. Quinlan , Lars Hernquist

We consider the evolution of a supermassive black hole binary (SMBHB) surrounded by a retrograde accretion disk. Assuming the disk is exactly in the binary plane and transfers energy and angular momentum to the binary via direct gas…

High Energy Astrophysical Phenomena · Physics 2015-06-17 Jeremy D. Schnittman , Julian H. Krolik

Hot subdwarf-B stars in long-period binaries are found to be on eccentric orbits, even though current binary-evolution theory predicts those objects to be circularised before the onset of Roche-lobe overflow (RLOF). We aim to find…

Solar and Stellar Astrophysics · Physics 2015-06-30 Joris Vos , Roy Østensen , Pablo Marchant , Hans Van Winckel

We examine the eccentricity evolution of a system of two planets locked in a mean motion resonance, in which the outer planet loses energy and angular momentum. The sink of energy and angular momentum could be either a gas or planetesimal…

Astrophysics · Physics 2009-11-06 N. Murray , M. Paskowitz , M. Holman

We develop a simplified model for studying the long-term evolution of giant planets in protoplanetary discs. The model accounts for the eccentricity evolution of the planets and the dynamics of eccentric discs under the influences of…

Earth and Planetary Astrophysics · Physics 2019-11-06 Jean Teyssandier , Dong Lai

(abridged) We consider a secular orbital evolution of a supermassive binary black hole (SBBH) with unequal masses $M_p$ and $M_s < M_p$ in a central part of a non-spherical nuclear star cluster (NSC). When the mass of NSC inside the orbit…

Astrophysics of Galaxies · Physics 2025-07-17 Pavel B. Ivanov , Alexander G. Polnarev

The secular stellar mass-loss causes an amplification of the orbital separation in fragile, common proper motion, binary systems with separations of the order of 1000 A.U. In these systems, companions evolve as two independent coeval stars…

Solar and Stellar Astrophysics · Physics 2012-03-26 Kyle B. Johnston , Terry D. Oswalt , David Valls-Gabaud

We consider the evolution of a binary system interacting due to tidal effects without restriction on the orientation of the orbital, and where significant, spin angular momenta, and orbital eccentricity. We work in the low tidal forcing…

Solar and Stellar Astrophysics · Physics 2020-11-11 P. B. Ivanov , J. C. B. Papaloizou

Many binary stellar systems in which the primary star is beyond the asymptotic giant branch (AGB) evolutionary phase show significant orbital eccentricities whereas current binary interaction models predict their orbits to be circularised.…

Astrophysics · Physics 2009-11-13 A. A. Bonacic Marinovic , E. Glebbeek , O. R. Pols

We present a self-consistent model for the tidal evolution of circumbinary planets. Based on the weak-friction model, we derive expressions of the resulting forces and torques considering complete tidal interactions between all the bodies…

Earth and Planetary Astrophysics · Physics 2019-07-10 F. A. Zoppetti , C. Beaugé , A. M. Leiva , H. Folonier

The evolution of many close binary and multiple star systems is defined by phases of mass exchange and interaction. As these systems evolve into contact, tidal dissipation is not always sufficient to bring them into circular, synchronous…

Solar and Stellar Astrophysics · Physics 2023-04-19 Morgan MacLeod , Michelle Vick , Abraham Loeb

We use N-body simulations to explore the influence of orbital eccentricity on the dynamical evolution of star clusters. Specifically we compare the mass loss rate, velocity dispersion, relaxation time, and the mass function of star clusters…

Astrophysics of Galaxies · Physics 2015-06-19 Jeremy J. Webb , Nathan Leigh , Alison Sills , William E. Harris , Jarrod R. Hurley

The aim of this work is to develop a formalism for the study of the secular evolution of a binary system which includes interaction due to the tides that each body imparts on the other. We also consider the influence of the $J_2$-related…

Earth and Planetary Astrophysics · Physics 2020-09-16 Santiago Luna , Hugo Navone , Mario Melita

We derive the conservative secular evolution of precessing compact binaries to second post-Newtonian order accuracy, with leading-order spin-orbit, spin-spin and mass quadrupole-monopole contributions included. The emerging closed system of…

General Relativity and Quantum Cosmology · Physics 2016-09-21 Márton Tápai , Zoltán Keresztes , László Árpád Gergely

Planetary, stellar and galactic physics often rely on the general restricted gravitational N-body problem to model the motion of a small-mass object under the influence of much more massive objects. Here, I formulate the general restricted…

Earth and Planetary Astrophysics · Physics 2015-06-18 Dimitri Veras

We present a semi-analytical correction to the seminal solution for the secular motion of a planet's orbit under gravitational influence of an external perturber derived by Heppenheimer (1978). A comparison between analytical predictions…

Earth and Planetary Astrophysics · Physics 2017-03-15 Eduardo Andrade-Ines , Siegfried Eggl