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The traditional way of estimating the gravitational field from observed motions of test objects is based on the virial relation between their kinetic and potential energy. We find a more efficient method. It is based on the natural…

Astrophysics · Physics 2009-11-10 Andrei M. Beloborodov , Yuri levin

Dictionary learning is an effective tool for pattern recognition and classification of time series data. Among various dictionary learning techniques, the dynamic time warping (DTW) is commonly used for dealing with temporal delays,…

Machine Learning · Statistics 2023-07-03 Ruiyu Xu , Chao Wang , Yongxiang Li , Jianguo Wu

We describe the newly written code GADGET which is suitable both for cosmological simulations of structure formation and for the simulation of interacting galaxies. GADGET evolves self-gravitating collisionless fluids with the traditional…

Astrophysics · Physics 2009-09-25 Volker Springel , Naoki Yoshida , Simon D. M. White

Newtonian gravitation is non-radiative but is extremely pervasive and penetrates equally into every media because it cannot be shielded. The extra terrestrial fgravity is responsible for earth's trajectory. However its correlation or…

Instrumentation and Methods for Astrophysics · Physics 2010-09-17 Timir Datta , Ming Yin , Mike Wescott , Yeuncheol Jeong , Pawel Morawiec , James Gambrell , Dan Overcash , Huaizhou Zhang , George Voulgaris

We derive from first principles equations governing (a) the quadrupole tensor of a star distorted by both rotation and the presence of a companion in a possibly eccentric orbit, (b) a functional form for the dissipative force of tidal…

Astrophysics · Physics 2009-10-30 Peter P. Eggleton , Ludmila G. Kiseleva , Piet Hut

The inclusion of finite-size effects in the gravitational waveform templates allows not only to constrain the internal structure of compact objects, but to test deviations from general relativity. Here, we address the problem of tidal…

General Relativity and Quantum Cosmology · Physics 2023-03-02 Laura Bernard

In this paper we consider a thought experiment involving the effect of gravitation on an ideal scale containing a photon. If the tidal forces inherent to a gravitational field are neglected, then one is led to scenario which seems to bring…

General Physics · Physics 2011-09-21 Yves Gaspar , Giovanni Acquaviva

Recently Grimmer [1] showed for smooth convex optimization by utilizing longer steps periodically, gradient descent's textbook $LD^2/2T$ convergence guarantees can be improved by constant factors, conjecturing an accelerated rate strictly…

Optimization and Control · Mathematics 2023-09-28 Benjamin Grimmer , Kevin Shu , Alex L. Wang

The proximal gradient algorithm has been popularly used for convex optimization. Recently, it has also been extended for nonconvex problems, and the current state-of-the-art is the nonmonotone accelerated proximal gradient algorithm.…

Optimization and Control · Mathematics 2017-05-24 Quanming Yao , James T. Kwok , Fei Gao , Wei Chen , Tie-Yan Liu

We describe an implicit general relativistic hydrodynamics code. The evolution equations are formulated in comoving coordinates. A conservative finite differencing of the Einstein equations is outlined, and artificial viscosity and…

Astrophysics · Physics 2010-05-12 Matthias Liebendoerfer , Stephan Rosswog , Friedrich-Karl Thielemann

An algorithm is proposed for constructing a group (ensemble) pulsar time based on the application of optimal Wiener filters. This algorithm makes it possible to separate the contributions of variations of the atomic time scale and of the…

Instrumentation and Methods for Astrophysics · Physics 2011-08-08 A. E. Rodin , Ding Chen

We investigate the dynamical evolution of hierarchical three-body systems under the effect of tides, when the ratio of the orbital semi-major axes is small and the mutual inclination is relatively large (greater than 20 degrees). Using the…

Earth and Planetary Astrophysics · Physics 2011-07-06 Alexandre C. M. Correia , Jacques Laskar , François Farago , Gwenaël Boué

Understanding the properties of transient gravitational waves and their sources is of broad interest in physics and astronomy. Bayesian inference is the standard framework for astro-physical measurement in transient gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2020-10-07 Rory Smith , Gregory Ashton , Avi Vajpeyi , Colm Talbot

This paper proposes a receding horizon active learning and control problem for dynamical systems in which Gaussian Processes (GPs) are utilized to model the system dynamics. The active learning objective in the optimization problem is…

Systems and Control · Electrical Eng. & Systems 2021-05-13 Viet-Anh Le , Truong X. Nghiem

We present a novel approach to investigate the long-time stochastic dynamics of multi-dimensional classical systems, in contact with a heat-bath. When the potential energy landscape is rugged, the kinetics displays a decoupling of short and…

Soft Condensed Matter · Physics 2013-05-29 O. Corradini , P. Faccioli , H. Orland

In this paper we test the performance of explicit simulations of groups of galaxies, (i.e. simulations in which each galaxy is treated as a mass point and the physics of the interactions is modelled by specific analand the physics of the…

Astrophysics · Physics 2007-05-23 C. Garcia-Gomez , E. Athanassoula , A. Garijo

This work aims to introduce a heuristic timestep-adaptive algorithm for Computational Fluid Dynamics (CFD) and Fluid-Structure Interaction (FSI) problems where the flow is dominated by the pressure. In such scenarios, many time-adaptive…

Numerical Analysis · Mathematics 2024-07-02 Ivan Prusak , Davide Torlo , Monica Nonino , Gianluigi Rozza

An important aspect of General Relativity is to study properties of geodesics. A useful tool for describing geodesic behavior is the geodesic deviation equation. It allows to describe the tidal properties of gravitating objects through the…

General Relativity and Quantum Cosmology · Physics 2023-01-09 V. P. Vandeev , A. N. Semenova

We extend the concept of galaxy environment from the local galaxy number density to the gravitational potential and its functions like the shear tensor. For this purpose we examine whether or not one can make an accurate estimation of the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Hyunbae Park , Juhan Kim , Changbom Park

Understanding the spiral arms of the Milky Way (MW) remains a key open question in galactic dynamics. Tidal perturbations, such as the recent passage of the Sagittarius dwarf galaxy (Sgr), could play a significant role in exciting them. We…