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In a previous paper we introduced a new method for simulating collisional gravitational $N$-body systems with linear time scaling on $N$, based on the Multi-Particle Collision (MPC) approach. This allows us to simulate globular clusters…

Astrophysics of Galaxies · Physics 2022-03-04 Pierfrancesco Di Cintio , Mario Pasquato , Alicia Simon-Petit , Suk-Jin Yoon

We examine the tidal deformation of a nonrotating compact body (material body or black hole) in general relativity. The body's exterior metric is calculated in a simultaneous expansion in powers of the ratio between the distance to the body…

General Relativity and Quantum Cosmology · Physics 2021-03-24 Eric Poisson

As a first step in the computation of the orbital phase evolution of spinless compact binaries including tidal effects up to the next-to-next-to-leading (NNL) order, we obtain the equations of motion of those systems and the associated…

General Relativity and Quantum Cosmology · Physics 2020-11-02 Quentin Henry , Guillaume Faye , Luc Blanchet

At high eccentricities, tidal forcing excites vibrational modes within orbiting bodies known as dynamical tides. In this paper, we implement the coupled evolution of these modes with the body's orbit in the \texttt{REBOUNDx} framework, an…

Earth and Planetary Astrophysics · Physics 2026-01-09 Donald J. Liveoak , Sarah C. Millholland , Michelle Vick , Daniel Tamayo

Accurately modeling the tidal response of neutron stars is crucial to connecting gravitational wave observations of binaries to ultra-dense nuclear physics. Most current models of the tidal response of relativistic stars either assume a…

General Relativity and Quantum Cosmology · Physics 2024-05-24 Abhishek Hegade K. R. , Justin L. Ripley , Nicolás Yunes

We study the tidal response of rotating solar mass stars, as well as more massive rotating stars, of different ages in the context of tidal captures leading to either giant exoplanets on close in orbits, or the formation of binary systems…

Solar and Stellar Astrophysics · Physics 2015-06-16 S. V. Chernov , J. C. B. Papaloizou , P. B. Ivanov

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

Gravitating systems surrounded by a dynamic sea of substructures experience fluctuations of the local tidal field which inject kinetic energy into the internal motions. This paper uses stochastic calculus techniques to describe `tidal…

Astrophysics of Galaxies · Physics 2019-02-13 Jorge Peñarrubia

Modeling self-gravity of collisionless fluids (e.g. ensembles of dark matter, stars, black holes, dust, planetary bodies) in simulations is challenging and requires some force softening. It is often desirable to allow softenings to evolve…

Astrophysics of Galaxies · Physics 2025-12-22 Philip F. Hopkins , Ethan O. Nadler , Michael Y. Grudic , Xuejian Shen , Isabel Sands , Fangzhou Jiang

Body tides reveal information about planetary interiors and affect their evolution. Most models to compute body tides rely on the assumption of a spherically-symmetric interior. However, several processes can lead to lateral variations of…

Earth and Planetary Astrophysics · Physics 2024-06-05 Marc Rovira-Navarro , Isamu Matsuyama , Alexander Berne

The orbits of short-period exoplanets are sculpted by tidal dissipation. However, the mechanisms and associated efficiencies of these tidal interactions are poorly constrained. We present robust constraints on the tidal quality factors of…

Earth and Planetary Astrophysics · Physics 2025-01-17 Sarah C. Millholland , Morgan MacLeod , Felicia Xiao

In order to explore how the early internal rotational properties of star clusters are affected by the external potential of their host galaxies, we have run a suite of $N$-body simulations following the early dynamical evolution and violent…

Astrophysics of Galaxies · Physics 2022-03-30 Maria Tiongco , Enrico Vesperini , Anna Lisa Varri

We consider the dynamics of rotationally supported thin galactic disc composed of stars and gas under the influence of external tidal field and derive the coupled differential equations governing the evolution of instabilities. Further…

Astrophysics of Galaxies · Physics 2019-05-28 K. Aditya

We present an improved analytic calculation for the tidal radius of satellites and test our results against N-body simulations. The tidal radius in general depends upon four factors: the potential of the host galaxy, the potential of the…

Astrophysics · Physics 2009-11-13 J. I. Read , M. I. Wilkinson , N. W. Evans , G. Gilmore , Jan T. Kleyna

We compare dynamics and waveforms from binary neutron star coalescence as computed by new long-term ($\sim 10 $ orbits) numerical relativity simulations and by the tidal effective-one-body (EOB) model including analytical tidal corrections…

General Relativity and Quantum Cosmology · Physics 2013-04-25 Sebastiano Bernuzzi , Alessandro Nagar , Marcus Thierfelder , Bernd Bruegmann

We introduce the star cluster evolution code Evolve Me A Cluster of StarS (EMACSS), a simple yet physically motivated computational model that describes the evolution of some fundamental properties of star clusters in static tidal fields.…

Astrophysics of Galaxies · Physics 2015-06-04 Poul E. R. Alexander , Mark Gieles

This paper presents a new theory of the dynamical tides of celestial bodies. It is founded on a Newtonian creep instead of the classical delaying approach of the standard viscoelastic theories and the results of the theory derive mainly…

Earth and Planetary Astrophysics · Physics 2015-06-04 Sylvio Ferraz-Mello

Extracting the unique information on ultradense nuclear matter from the gravitational waves emitted by merging, neutron-star binaries requires robust theoretical models of the signal. We develop a novel effective-one-body waveform model…

We present a rapid binary evolution algorithm that enables modelling of even the most complex binary systems. In addition to all aspects of single star evolution, features such as mass transfer, mass accretion, common-envelope evolution,…

Astrophysics · Physics 2009-11-07 Jarrod R. Hurley , Christopher A. Tout , Onno R. Pols

Most prior works studying tidal interactions in tight star/planet or star/star binary systems have employed linear theory of a viscous fluid in a uniformly-rotating two-dimensional spherical shell. However, compact systems may have…

Solar and Stellar Astrophysics · Physics 2023-10-11 Aurélie Astoul , Adrian J. Barker
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