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Core collapse is a prominent evolutionary stage of self-gravitating systems. In an idealised collisionless approximation, the region around the cluster core evolves in a self-similar way prior to the core collapse. Thus, its radial density…

Astrophysics of Galaxies · Physics 2018-12-05 Václav Pavlík , Ladislav Šubr

We study the dynamics of nuclear star clusters, the dense stellar environments surrounding massive black holes in the centers of galaxies. We consider angular momentum diffusion due to two-body scatterings among stellar objects and energy…

High Energy Astrophysical Phenomena · Physics 2024-06-13 Karamveer Kaur , Barak Rom , Re'em Sari

Most of massive stars form in binary or higher-order systems in clumpy, sub-structured clusters. In the very first phases of their life, these stars are expected to interact with the surrounding environment, before being released to the…

The understanding of the rotational evolution of early-type stars is deeply related to that of anisotropic mass and angular momentum loss. In this paper, we aim to clarify the rotational evolution of rapidly rotating early-type stars along…

Solar and Stellar Astrophysics · Physics 2019-05-22 D. Gagnier , M. Rieutord , C. Charbonnel , B. Putigny , F. Espinosa Lara

A rotating star may be modeled as a continuous system of particles attracted to each other by gravity and with a given total mass and prescribed angular velocity. Mathematically this leads to the Euler-Poisson system. We prove an existence…

Analysis of PDEs · Mathematics 2018-04-17 Yilun Wu , Walter Strauss

We present the first systematic study of rigidly rotating protoquark stars based on isentropic equations of state (EOS) within the density-dependent quark mass (DDQM) framework. Using a quasi-static equilibrium approach, we follow the…

High Energy Astrophysical Phenomena · Physics 2026-01-21 Adamu Issifu , Andreas Konstantinou , Prashant Thakur , Tobias Frederico

The evolution of star clusters is determined by several internal and external processes. Here we focus on two dominant internal effects, namely energy exchange between stars through close encounters (two-body relaxation) and mass-loss of…

Astrophysics of Galaxies · Physics 2011-06-24 Mark Gieles

This paper aims to study the configuration of two components caused by rotational and tidal distortions in the model of a binary system. The potentials of the two distorted components can be approximated to 2nd-degree harmonics.…

Solar and Stellar Astrophysics · Physics 2015-05-13 H. F. Song , Z. Zhong , Y. Lu

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

We investigate numerically and semi-analytically the collapse of low-mass, rotating prestellar cores. Initially, the cores are in approximate equilibrium with low rotation (the initial ratio of thermal to gravitational energy is $\alpha_0…

Astrophysics · Physics 2009-11-10 P. Hennebelle , A. Whitworth , S. Cha , S. Goodwin

We investigate the long-term dynamical evolution of the internal kinematics of multimass rotating star clusters. We have performed a set of N-body simulations to follow the internal evolution of clusters with different degrees of initial…

Astrophysics of Galaxies · Physics 2022-07-06 Alexander R. Livernois , Enrico Vesperini , Anna Lisa Varri , Jongsuk Hong , Maria Tiongco

We present a simple theory for the evolution of initially compact clusters in a tidal field. The fundamental ingredient of the model is that a cluster conducts a constant fraction of its own energy through the half-mass radius by two-body…

Astrophysics of Galaxies · Physics 2013-01-24 Mark Gieles

We review recent progress in computational methods for studying the dynamical evolution of large star clusters. After describing some highlights of a new comparison of different models, including N-body models, we mention in detail recent…

Astrophysics · Physics 2007-05-23 D. C. Heggie , M. Giersz , R. Spurzem , K. Takahashi

The time evolution of a set of 22 Mo unstable charged stars that collapse is computed integrating the Einstein-Maxwell equations. The model simulate the collapse of an spherical star that had exhausted its nuclear fuel and have or acquires…

Astrophysics · Physics 2007-05-23 Cristian R. Ghezzi , Patricio S. Letelier

The collapse time for a cluster of equal-mass stars is usually stated to be either 330 central relaxation times ($\trc$) or 12--19 half-mass relaxation times ($\trh$). But the first of these times applies only to the late stages of core…

Astrophysics · Physics 2009-10-28 Gerald D. Quinlan

Subsequent to Paper I, the evolution and fragmentation of a rotating magnetized cloud are studied with use of three-dimensional MHD nested-grid simulations. After the isothermal runaway collapse, an adiabatic gas forms a protostellar first…

Astrophysics · Physics 2009-11-13 Masahiro N Machida , Tomoaki Matsumoto , Tomoyuki Hanawa , Kohji Tomisaka

We investigate the formation of protostellar clusters during the collapse of dense molecular cloud cores with a focus on the evolution of potential and kinetic energy, the degree of substructure, and the early phase of mass segregation. Our…

Solar and Stellar Astrophysics · Physics 2015-06-03 Philipp Girichidis , Christoph Federrath , Richard Allison , Robi Banerjee , Ralf Klessen

We have performed N-body simulations of poor clusters with enough particles to resolve the individual galaxies. The main cases of initial conditions are: (i) 50 equal mass galaxies; (ii) 60 galaxies with masses drawn from a Schechter…

Astrophysics · Physics 2007-05-23 Gastao B. Lima Neto , Frank W. Baier

We present self-similar solutions that describe the gravitational collapse of rotating, isothermal, magnetic molecular-cloud cores, relevant to the formation of rotationally supported protostellar disks. This work focuses on the evolution…

Astrophysics · Physics 2009-11-07 Ruben Krasnopolsky , Arieh Konigl

The presence of an external tidal field often induces significant dynamical evolutionary effects on the internal kinematics of star clusters. Previous studies investigating the restricted three-body problem with applications to star cluster…

Astrophysics of Galaxies · Physics 2016-06-29 Maria Tiongco , Enrico Vesperini , Anna Lisa Varri