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The emission of gravitational waves from a system of massive objects interacting on elliptical, hyperbolic and parabolic orbits is studied in the quadrupole approximation. Analytical expressions are then derived for the gravitational wave…

Astrophysics · Physics 2010-04-21 Salvatore Capozziello , Mariafelicia De Laurentis

Precise measurement of stellar properties through the observation of continuous gravitational waves from spinning non-axisymmetric neutron stars can shed light onto new physics beyond terrestrial laboratories. Although hitherto undetected,…

General Relativity and Quantum Cosmology · Physics 2024-01-09 Yuhan Hua , Karl Wette , Susan M. Scott , Matthew D. Pitkin

To improve our understanding of orbital instabilities in compact planetary systems, we compare suites of $N$-body simulations against numerical integrations of simplified dynamical models. We show that, surprisingly, dynamical models that…

Earth and Planetary Astrophysics · Physics 2024-07-31 Caleb Lammers , Sam Hadden , Norman Murray

Self-consistent N-body simulations are efficient tools to study galactic dynamics. However, using them to study individual trajectories (or ensembles) in detail can be challenging. Such orbital studies are important to shed light on global…

Astrophysics of Galaxies · Physics 2015-06-17 T. Manos , Rubens E. G. Machado

We review and expand on a Bayesian model selection technique for the detection of gravitational waves from neutron star ring-downs associated with pulsar glitches. The algorithm works with power spectral densities constructed from…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J Clark , I S Heng , M Pitkin , G Woan

Time series measured from real-world systems are generally noisy, complex and display statistical properties that evolve continuously over time. Here, we present a method that combines wavelet analysis and non-stationary surrogates to…

Data Analysis, Statistics and Probability · Physics 2018-04-12 Mario Chavez , Bernard Cazelles

We study the accumulation of errors in cosmological N-body algorithms that are caused by representing the continuous distribution of matter by massive particles, comparing the PPPM and Adaptive Multigrid codes. We use for this a new measure…

Astrophysics · Physics 2007-05-23 Ivar Suisalu , Enn Saar

The three-body problem has been studied for more than three centuries [1,2], and has received much attention in recent years [3-5]. It shows complex dynamical phenomena due to the mutual gravitational interaction of the three bodies. Triple…

Chaotic Dynamics · Physics 2021-01-05 Xiaoming Li , Xiaochen Li , Shijun Liao

Empirical constraints on the internal dynamics of open clusters are important for understanding their evolution and evaporation. High precision astrometry from Gaia DR3 are thus useful to observe aspects of the cluster dynamics. This work…

Astrophysics of Galaxies · Physics 2024-07-03 Vikrant V. Jadhav , Pavel Kroupa , Wenjie Wu , Jan Pflamm-Altenburg , Ingo Thies

We explore the properties of test-particle orbits in "bumpy" spacetimes - stationary, reflection-symmetric, asymptotically flat solutions of Einstein equations that have a non-Kerr (anomalous) higher-order multipole-moment structure but can…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jonathan R Gair , Chao Li , Ilya Mandel

Numerical N-body simulations are commonly used to explore stability regions around exoplanets, offering insights into the possible existence of satellites and ring systems. This study aims to utilize Machine Learning (ML) techniques to…

Earth and Planetary Astrophysics · Physics 2025-01-22 Tiago F. L. L. Pinheiro , Rafael Sfair , Giovana Ramon

High-precision radial velocity planet searches have surveyed over ~2000 nearby stars and detected over ~200 planets. While these same stars likely harbor many additional planets, they will become increasingly challenging to detect, as they…

Astrophysics · Physics 2008-11-26 Eric B. Ford

A wavelet analysis has been performed on 80 intense gamma-ray bursts GRBs) from the BATSE 3B catalog with durations longer than 2 seconds. The wavelet analysis applied novel features developed for edge detection in image processing and this…

Astrophysics · Physics 2010-12-13 Kevin J. Hurley , Brian McBreen , Fergus Quilligan , Matt Delaney , Lorraine Hanlon

Gravitational waves from oscillating neutron stars in axial symmetry are studied performing numerical simulations in full general relativity. Neutron stars are modeled by a polytropic equation of state for simplicity. A gauge-invariant wave…

Astrophysics · Physics 2009-11-10 Masaru Shibata , Yuichirou Sekiguchi

The characterization of collective behavior and nonequilibrium phase transitions in quantum systems is typically rooted in the analysis of suitable system observables, so-called order parameters. These observables might not be known a…

Quantum Physics · Physics 2026-02-20 Erik Fitzner , Francesco Carnazza , Federico Carollo , Igor Lesanovsky

The dynamics of a large stellar (globular) cluster containing N=128,000 stars has been simulated by a direct summation (O(N$^2$)) method by using a heterogeneous platform. Preliminary simulations have been carried out on model systems with…

Astrophysics · Physics 2007-05-23 R. Capuzzo-Dolcetta , N. Pucello , V. Rosato , F. Saraceni

We investigate the regular or chaotic nature of orbits of stars moving in the meridional plane $(R,z)$ of an axially symmetric galactic model with a flat disk and a central, non spherical and massive nucleus. In particular, we study the…

Astrophysics of Galaxies · Physics 2017-09-28 Euaggelos E. Zotos , Nicolaos D. Caranicolas

On large-scales, comparable to the horizon, the observable clustering properties of galaxies are affected by various general relativistic effects. To calculate these effects one needs to consistently solve for the metric, densities and…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-21 Nora Elisa Chisari , Matias Zaldarriaga

Both ground and space-based transit observatories are poised to significantly increase the number of known transiting planets and the number of precisely measured transit times. The variation in a planet's transit times may be used to infer…

Earth and Planetary Astrophysics · Physics 2015-05-20 Dimitri Veras , Eric B. Ford , Matthew J. Payne

The aim of this paper is to numerically investigate the orbital dynamics of the circular planar restricted problem of five bodies. By numerically integrating several large sets of initial conditions of orbits we classify them into three…

Chaotic Dynamics · Physics 2019-04-09 Euaggelos E. Zotos , K. E. Papadakis