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Motivated by the current search for exomoons, this paper considers the stability of tidal equilibrium for hierarchical three-body systems containing a star, a planet, and a moon. In this treatment, the energy and angular momentum budgets…

地球与行星天体物理 · 物理学 2016-08-31 Fred C. Adams , Anthony M. Bloch

Trajectory optimization of low-thrust perturbed orbit rendezvous is a crucial technology for space missions in low Earth orbits, which is difficult to solve due to its initial value sensitivity, especially when the transfer trajectory has…

天体物理仪器与方法 · 物理学 2023-05-03 An-yi Huang , Heng-nian Li

The objective of this paper is to provide a pedagogical framework for the phenomenon of orbital decay of satellites in low Earth orbit. The dynamics of orbital decay are derived considering atmospheric drag as the only dissipative mechanism…

While there have been many studies examining the stability of hierarchical triple systems, the meaning of ``stability'' is somewhat vague and has been interpreted differently in previous literatures. The present paper focuses on ``Lagrange…

太阳与恒星天体物理 · 物理学 2023-02-08 Toshinori Hayashi , Alessandro A. Trani , Yasushi Suto

This paper presents a study of the use of numerical simulation and Bayesian optimisation techniques to investigate the dynamics of celestial systems. Initially, the study focuses on Lagrange points in restricted three-body systems where a…

天体物理仪器与方法 · 物理学 2023-03-28 Eirik Fladmark , Teodora Reu , Laura Brinkholm Justesen

Motivated by the possibility of radiation driven instabilities in rotating magnetic stars, we study the stability properties of general linear perturbations of a stationary and axisymmetric, infinitely conducting perfect fluid configuration…

天体物理学 · 物理学 2008-11-26 Kostas Glampedakis , Nils Andersson

This article is intended for undergraduate students with the aim to provide a pedagogical introduction to the physics of stellar tidal deformations. The spherically symmetric shape of any star is deformed via rotation around an arbitrary…

高能天体物理现象 · 物理学 2020-07-02 Andreas Zacchi

TianQin is a planned Chinese space-based gravitational wave (GW) observatory with a frequency band of 10-4 to 1Hz. Optical telescopes are essential for the delivery of the measurement beam to support a precise distance measurement between…

天体物理仪器与方法 · 物理学 2023-03-07 Zichao Fan , Zhengbo Zhu , Huiru Ji , Yan Mo , Hao Tan , Lujia Zhao , Shengyi Cao , Donglin Ma

Recent observational missions have uncovered a significant number of compact multi-exoplanet systems. The tight orbital spacing of these systems has led to much effort being applied to the understanding of their stability; however, a key…

地球与行星天体物理 · 物理学 2021-06-09 Peter Bartram , Alexander Wittig , Jack J. Lissauer , Sacha Gavino , Hodei Urrutxua

We revisit the global modes and instabilities of homogeneous rotating ellipsoidal fluid masses, which are the simplest global models of rotationally and tidally deformed gaseous planets or stars. The tidal flow in a short-period planet may…

地球与行星天体物理 · 物理学 2016-04-20 Adrian J. Barker , Harry J. Braviner , Gordon I. Ogilvie

In this paper we develop further a method for detecting unstable periodic orbits (UPOs) by stabilising transformations, where the strategy is to transform the system of interest in such a way that the orbits become stable. The main…

混沌动力学 · 物理学 2015-05-13 Jonathan J. Crofts , Ruslan L. Davidchack

Many of exoplanetary systems consist of more than one planet and the study of planetary orbits with respect to their long-term stability is very interesting. Furthermore, many exoplanets seem to be locked in a mean-motion resonance (MMR),…

地球与行星天体物理 · 物理学 2017-02-10 Kyriaki I. Antoniadou

Astrophysical fluid bodies that orbit close to one another induce tidal distortions and flows that are subject to dissipative processes. The spin and orbital motions undergo a coupled evolution over astronomical timescales, which is…

太阳与恒星天体物理 · 物理学 2015-06-19 Gordon I. Ogilvie

We investigate whether angular momentum transport due to unstable pulsation modes can play a significant role in the rotational evolution of massive stars. We find that these modes can redistribute appreciable angular momentum, and moreover…

天体物理学 · 物理学 2009-11-13 Rich Townsend , Jim MacDonald

In previous hydrodynamical simulations, we found a mechanism for nearly circular binary stars, like Kepler-413, to trap two planets in a stable 1:1 resonance. Therefore, the stability of coorbital configurations becomes a relevant question…

地球与行星天体物理 · 物理学 2023-12-06 Stefan Adelbert , Anna B. T. Penzlin , Christoph M. Schäfer , Wilhelm Kley , Billy Quarles , Rafael Sfair

We study the stability of circular orbits of the electromagnetic two-body problem in an electromagnetic setting that includes retarded and advanced interactions. We give a method to derive the equations of tangent dynamics about circular…

经典物理 · 物理学 2007-05-23 Jayme De Luca

We investigate the innermost stable circular orbit (ISCO) of a test particle moving on the equatorial plane around rotating relativistic stars such as neutron stars. First, we derive approximate analytic formulas for the angular velocity…

广义相对论与量子宇宙学 · 物理学 2009-10-09 Masaru Shibata , Misao Sasaki

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…

地球与行星天体物理 · 物理学 2011-07-06 Alexandre C. M. Correia , Jacques Laskar , François Farago , Gwenaël Boué

The gravitation interaction between particles is taken into account in central configuration model. After that, the resonance perturbation of the particle of the central configuration by distant satellite is considered in the restricted…

动力系统 · 数学 2007-05-23 A. E. Rosaev

We have computed models of rotating relativistic stars with a toroidal magnetic field and investigated the combined effects of magnetic field and rotation on the apparent shape (i.e. the surface deformation), which could be relevant for the…

广义相对论与量子宇宙学 · 物理学 2014-02-14 Joachim Frieben , Luciano Rezzolla
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