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We formulate a local dynamical model of an eccentric disc in which the dominant motion consists of elliptical Keplerian orbits. The model is a generalization of the well known shearing sheet, and is suitable for both analytical and…

Earth and Planetary Astrophysics · Physics 2015-06-23 Gordon I. Ogilvie , Adrian J. Barker

In this paper we treat the problem of the dynamical friction decay of a massive object moving in an elliptical galaxy with a cuspidal inner distribution of the mass density. We present results obtained by both self-consistent, direct…

Cosmology and Nongalactic Astrophysics · Physics 2014-04-02 Manuel Arca-Sedda , Roberto Capuzzo-Dolcetta

The dynamical friction experienced by a body moving in a gaseous medium is different from the friction in the case of a collisionless stellar system. Here we consider the orbital evolution of a gravitational perturber inside a gaseous…

Astrophysics · Physics 2009-10-31 F. J. Sanchez-Salcedo , A. Brandenburg

A thin gaseous disc with an almost keplerian angular velocity profile, bounded by a free surface and rotating around point-mass gravitating object is nearly spectrally stable. Despite that the substantial transient growth of linear…

High Energy Astrophysical Phenomena · Physics 2015-05-30 Dmitry Razdoburdin , Viacheslav Zhuravlev

The orbit-averaged fluxes of energy and angular momentum generated by a compact binary system of nonspinning particles are obtained in a popular class of massless scalar-tensor theories with first-and-a-half post-Newtonian (1.5PN) accuracy,…

General Relativity and Quantum Cosmology · Physics 2025-07-31 David Trestini

This paper is a review of the dynamics of a system of planets. It includes the study of averaged equations in both non-resonant and resonant systems and shows the great deal of situations in which the angle between the two semi-major axes…

Astrophysics · Physics 2007-05-23 S. Ferraz-Mello , T. A. Michtchenko , C. Beauge

Dynamical friction leads to an orbital decay of massive objects like young compact star clusters or Massive Black Holes in central regions of galaxies. The dynamical friction force can be well approximated by Chandrasekhar's standard…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-01 A. Just , F. M. Khan , P. Berczik , A. Ernst , R. Spurzem

We compute the instantaneous contributions to the spherical harmonic modes of gravitational waveforms from compact binary systems in general orbits up to the third post-Newtonian order. We further extend these results for compact binaries…

General Relativity and Quantum Cosmology · Physics 2015-05-12 Chandra Kant Mishra , K. G. Arun , Bala R. Iyer

Compact binaries can have non-negligible orbital eccentricities in the frequency band of ground-based gravitational-wave detectors, depending on their astrophysical formation channels. To accurately determine the parameters of such systems,…

General Relativity and Quantum Cosmology · Physics 2024-12-17 Quentin Henry , Mohammed Khalil

The dynamic evolution of galactic bars in standard $\Lambda$CDM models is dominated by angular momentum loss to the dark matter haloes via dynamical friction. Traditional approximations to dynamical friction are formulated using the…

Astrophysics of Galaxies · Physics 2022-04-29 Rimpei Chiba , Ralph Schönrich

We study the dynamical evolution of a satellite orbiting outside of a companion spherical galaxy. The satellite is subject to a back-reaction force resulting from the density fluctuations excited in the primary stellar system. We evaluate…

Astrophysics · Physics 2009-10-30 M. Colpi

This study focuses on the long-term evolution of two bodies in nearby initially coplanar orbits around a central dominant body perturbed by a fourth body on a distant Keplerian orbit. Our previous works that considered this setup enforced…

Astrophysics of Galaxies · Physics 2024-05-17 Myank Singhal , Ladislav Šubr , Jaroslav Haas

We study the dynamics of an elastic body whose shape and position evolve due to the gravitational forces exerted by a pointlike planet. The main result is that, if all the deformations of the satellite dissipate some energy, then under a…

Mathematical Physics · Physics 2015-06-11 Emanuele Haus , Dario Bambusi

Searches for gravitational waves from compact binaries focus mostly on quasi-circular motion, with the rationale that wave emission circularizes the orbit. Here, we study the generality of this result, when astrophysical environments (e.g.,…

General Relativity and Quantum Cosmology · Physics 2021-01-20 Vitor Cardoso , Caio F. B. Macedo , Rodrigo Vicente

The discretization approximation method commonly used to simulate the dynamics of quantum system coupled to the environment in continuum often suffers from the periodically partial recovery of initial state because of the effect of finite…

Quantum Physics · Physics 2025-05-07 H. T. Cui , Y. A. Yan , M. Qin , X. X. Yi

We describe a set of time evolution equations and its numerical implementation for the investigation of non-axisymmetric oscillations of rapidly rotating compact objects in full General Relativity, taking into account the contribution of a…

General Relativity and Quantum Cosmology · Physics 2020-09-11 C. J. Krüger , K. D. Kokkotas

Mean-motion resonances between a Keplerian disc and an orbiting companion are analysed within a Hamiltonian formulation using complex canonical Poincare variables, which are ideally suited to the description of eccentricity and inclination…

Astrophysics · Physics 2008-11-26 Gordon I. Ogilvie

We study binary stars moving through a uniform dark matter background and experiencing dynamical friction. The centre-of-mass motion of the pairs is taken into account. We derive formulas and timescales for the secular evolution of the…

Astrophysics of Galaxies · Physics 2026-02-25 Nicolas Esser

In order to be in a long-lived configuration, the density in a fluid disk should be constant along streamlines to prevent compressional (PdV) work from being done cyclically around every orbit. In a pure Kepler potential, flow along…

Astrophysics · Physics 2009-11-07 T. S. Statler

The angular momentum flux from an inspiralling binary system of compact objects moving in quasi-elliptical orbits is computed at the third post-Newtonian (3PN) order using the multipolar post-Minkowskian wave generation formalism. The 3PN…

General Relativity and Quantum Cosmology · Physics 2010-04-30 K. G. Arun , Luc Blanchet , Bala R. Iyer , Siddhartha Sinha