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The classical problem of attitude stability in a central gravity field is generalized to that on a stationary orbit around a uniformly-rotating asteroid. This generalized problem is studied in the framework of geometric mechanics. Based on…

Earth and Planetary Astrophysics · Physics 2014-09-03 Yue Wang , Shijie Xu

We extend our study of the extent of the regions within the $\alpha$ Centauri AB star system where small planets are able to orbit for billion-year timescales (Quarles & Lissauer 2016, AJ 151, 111) to investigate the effects of minimizing…

Earth and Planetary Astrophysics · Physics 2018-01-19 Billy Quarles , Jack J. Lissauer , Nathan Kaib

We investigate the non-resonant, 3-D (spatial) model of the hierarchical system composed of point-mass stellar (or sub-stellar) binary and a low-mass companion (a circumbinary planet or a brown dwarf). We take into account the leading…

Earth and Planetary Astrophysics · Physics 2015-05-19 Cezary Migaszewski , Krzysztof Gozdziewski

Goal of the presented research is to construct simplified model of the core-halo structures in binary systems. Examples are provided by Thorne-Zytkov objects, hot Jupiters, protoplanets with large moons, red supergiants in binaries and…

Solar and Stellar Astrophysics · Physics 2016-09-02 A. Odrzywolek

We study the evolution of circumbinary disks under the gravitational influence of the binary using two-dimensional hydrodynamical simulations to investigate the impact of disk and binary parameters on the dynamical aspects of the disk. To…

Earth and Planetary Astrophysics · Physics 2018-06-14 Daniel Thun , Wilhelm Kley , Giovanni Picogna

We investigate the effects of space noncommutativity and the generalized uncertainty principle on the stability of circular orbits of particles in both a central force potential and Schwarzschild spacetime. We find noncommutative form of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kourosh Nozari , Siamak Akhshabi

Circumbinary discs are commonly observed around post-asymptotic giant branch (AGB) systems and are known to play an important role in their evolution. Several studies have pointed out that a circumbinary disc interacts through resonances…

Solar and Stellar Astrophysics · Physics 2012-03-30 Tyl Dermine , Robert G. Izzard , Alain Jorissen , Hans Van Winckel

Given the absence of observations of black hole binaries, it is critical that the full range of accessible parameter space be explored in anticipation of future observation with gravitational wave detectors. To this end, we compile the…

General Relativity and Quantum Cosmology · Physics 2011-07-29 Janna Levin , Sean T. McWilliams , Hugo Contreras

In experimental proposals published in the last two decades, a so called frozen spin storage ring concept was proposed for setting upper experimental bounds to electric dipole moment (EDM) of elementary particles. In a recent paper of ours,…

General Relativity and Quantum Cosmology · Physics 2019-09-18 Andras Laszlo

Having a massive moon has been considered as a primary mechanism for stabilized planetary obliquity, an example of which being our Earth. This is, however, not always consistent with the exoplanetary cases. This article details the…

Earth and Planetary Astrophysics · Physics 2022-08-24 Renyi Chen , Gongjie Li , Molei Tao

According to various models, the orbital and the epicyclic frequencies of particles moving on a circular orbit around compact objects are related to the quasi-periodic oscillations observed in the X-ray flux of some pulsars or black hole…

General Relativity and Quantum Cosmology · Physics 2016-01-27 Kalin V. Staykov , Daniela D. Doneva , Stoytcho S. Yazadjiev

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…

Dynamical Systems · Mathematics 2007-05-23 A. E. Rosaev

Phase space method provides a novel way for deducing qualitative features of nonlinear differential equations without actually solving them. The method is applied here for analyzing stability of circular orbits of test particles in various…

General Relativity and Quantum Cosmology · Physics 2009-11-13 A. Palit , A. Panchenko , N. G. Migranov , A. Bhadra , K. K. Nandi

Gravitational radiation (GR) drives an instability in certain modes of rotating stars. This instability is strong enough in the case of the r-modes to cause their amplitudes to grow on a timescale of tens of seconds in rapidly rotating…

Astrophysics · Physics 2007-05-23 Lee Lindblom

Gaseous circumbinary disks (CBDs) that are highly inclined to the binary orbit are commonly observed in nature. These disks harbor particles that can reach large mutual inclinations as a result of nodal precession once the gas disk has…

Earth and Planetary Astrophysics · Physics 2022-08-31 Anna C. Childs , Rebecca G. Martin

The research of superradiant instability in the realm of quantum gravity is a well-known topic, with many physicists and astronomers studying the potential impact it can have on gravitational waves, the structure of the universe, and…

High Energy Physics - Theory · Physics 2023-05-15 Sara Kanzi , İzzet Sakallı , Behnam Pourhassan

We present a simple model illustrating how a highly relativistic, compact object which is stable in isolation can be driven dynamically unstable by the tidal field of a binary companion. Our compact object consists of a test-particle in a…

General Relativity and Quantum Cosmology · Physics 2009-10-30 S. L. Shapiro

We study the motion of test particles in the metric of a localized and slowly rotating astronomical source, within the framework of linear gravitoelectromagnetism, grounded on a Post-Minkowskian approximation of general relativity. Special…

General Relativity and Quantum Cosmology · Physics 2015-10-14 Donato Bini , Lorenzo Iorio , Domenico Giordano

A nonrelativistic particle released from rest at the edge of a ball of uniform charge density or mass density oscillates with simple harmonic motion. We consider the relativistic generalizations of these situations where the particle can…

General Relativity and Quantum Cosmology · Physics 2017-07-25 Edward Parker

Detections of gravitational waves emitted from binary black hole coalescences allow us to probe the strong-field dynamics of general relativity (GR). One can compare the observed gravitational-wave signals with theoretical waveform models…

General Relativity and Quantum Cosmology · Physics 2023-08-30 Purnima Narayan , Nathan K. Johnson-McDaniel , Anuradha Gupta