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This work presents an elegant formalism to model the evolution of the full two rigid body problem. The equations of motion, given in a Cartesian coordinate system, are expressed in terms of spherical harmonics and Wigner D-matrices. The…

Earth and Planetary Astrophysics · Physics 2017-02-08 Gwenaël Boué

Nuclear rings at centers of barred galaxies exhibit strong star formation activities. They are thought to undergo gravitational instability when sufficiently massive. We approximate them as rigidly-rotating isothermal objects and…

Astrophysics of Galaxies · Physics 2016-09-28 Woong-Tae Kim , Sanghyuk Moon

The orbital angular momentum of individual stars in galactic discs can be permanently changed through torques from transient spiral patterns. Interactions at the corotation resonance dominate these changes and have the further property of…

Astrophysics of Galaxies · Physics 2018-01-26 Kathryne J. Daniel , Rosemary F. G. Wyse

I consider a self-gravitating, N-body system assuming that the N constituents follow regular orbits about the center of mass of the cluster, where a central massive object may be present. I calculate the average over a characteristic…

Astrophysics of Galaxies · Physics 2020-10-06 Zacharias Roupas

We extended the modified Lemaitre-Tolman model taking into account the effect of angular momentum and dynamical friction. The inclusion of these quantities in the equation of motion modifies the evolution of a perturbation, initially moving…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-24 Antonino Del Popolo , Maksym Deliyergiyev , Man Ho Chan

We develop a semi-analytic model to investigate how accretion onto wide low-mass binary stars can result in a close high-mass binary system. The key ingredient is to allow mass accretion while limiting the gain in angular momentum. We…

Solar and Stellar Astrophysics · Physics 2018-06-21 Kristin Lund , Ian Bonnell

Mean motion resonances play a fundamental role in the dynamics of the small bodies of the Solar System. The last decades of the 20th century gave us a detailed description of the dynamics as well as the process of capture of small bodies in…

Earth and Planetary Astrophysics · Physics 2018-06-06 Tabare Gallardo

Space missions have discovered a large number of exoplanets evolving in (or close to) mean-motion resonances (MMRs) and resonant chains. Often, the published data exhibit very high uncertainties due to the observational limitations that…

Earth and Planetary Astrophysics · Physics 2022-05-25 Kyriaki I. Antoniadou , George Voyatzis

Determining the differential-rotation law of compact stellar objects produced in binary neutron stars mergers or core-collapse supernovae is an old problem in relativistic astrophysics. Addressing this problem is important because it…

General Relativity and Quantum Cosmology · Physics 2017-08-16 Matthias Hanauske , Kentaro Takami , Luke Bovard , Luciano Rezzolla , José A. Font , Filippo Galeazzi , Horst Stöcker

In order to examine the rotational effect around neutron star in tensor-vector-scalar (TeVeS) theory, we consider the slowly rotating relativistic stars with a uniform angular velocity. As a result, we find that similar to the case in…

High Energy Astrophysical Phenomena · Physics 2011-01-17 Hajime Sotani

We present a new three-parameter family of self-consistent equilibrium models for quasi-relaxed stellar systems that are subject to the combined action of external tides and rigid internal rotation. These models provide an idealised…

Astrophysics of Galaxies · Physics 2025-12-16 Lucy A. Z. Arditi , Anna Lisa Varri

Globular clusters (GCs) host multiple stellar populations differing in their chemical and dynamical properties. A number of models for the formation of multiple populations predict that the subsystem of second generation (SG) stars is…

Astrophysics of Galaxies · Physics 2026-01-21 Ethan B. White , Enrico Vesperini , Emanuele Dalessandro , Anna Lisa Varri

We have performed a series of high resolution N-body experiments on a Connection Machine CM-5 in order to study the stability of collisionless self-gravitating spherical systems. We interpret our results in the framework of symplectic…

Astrophysics · Physics 2015-06-24 J. Perez , J-M Alimi , J-J Aly , H. Scholl

We consider the slowly rotating relativistic stars with a uniform angular velocity in the scalar-tensor gravity, and examine the rotational effect around such compact objects. For this purpose, we derive a 2nd order differential equation…

High Energy Astrophysical Phenomena · Physics 2015-06-12 Hajime Sotani

A family of angular momentum coherent states on the sphere is constructed using previous work by Aragone et al [1]. These states depend on a complex parameter which allows an arbitrary squeezing of the angular momentum uncertainties. The…

Quantum Physics · Physics 2007-05-23 R. Arvieu , P. Rozmej

We study the bar instability in collisionless, rotating, anisotropic, stellar systems, using N-body simulations and also the matrix technique for calculation of modes with the perturbed collisionless Boltzmann equation. These methods are…

Astrophysics of Galaxies · Physics 2021-02-17 Philip G. Breen , Simon Rozier , Douglas C. Heggie , Anna Lisa Varri

We consider motion in spherically symmetric but time-dependent backgrounds. This problem is of interest, for example, in the context of ultralight dark matter, where galactic haloes produce a time-dependent and periodic gravitational…

General Relativity and Quantum Cosmology · Physics 2018-07-31 Mateja Bošković , Francisco Duque , Miguel C. Ferreira , Filipe S. Miguel , Vitor Cardoso

We perform a systematic combined photometric and kinematic analysis of a sample of globular clusters under different relaxation conditions, based on their core relaxation time (as listed in available catalogs), by means of two well-known…

Astrophysics of Galaxies · Physics 2015-03-19 A. Zocchi , G. Bertin , A. L. Varri

In this article the quasi-Keplerian parameterisation for the case that spins and orbital angular momentum in a compact binary system are aligned or anti-aligned with the orbital angular momentum vector is extended to 3PN point-mass,…

General Relativity and Quantum Cosmology · Physics 2015-12-08 Manuel Tessmer , Johannes Hartung , Gerhard Schäfer

We study the dynamics of the 3-D three-body problem of a small body moving under the attractions of a star and a giant planet which orbits the star on a much wider and elliptic orbit. In particular, we focus on the influence of an eccentric…

Earth and Planetary Astrophysics · Physics 2015-06-04 A. -S. Libert , N. Delsate
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