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We consider elastic bodies in rigid rotation, both nonrelativistically and in special relativity. Assuming a body to be in its natural state in the absence of rotation, we prove the existence of solutions to the elastic field equations for…

General Relativity and Quantum Cosmology · Physics 2009-11-10 R. Beig , B. G. Schmidt

We study the evolution of the eccentricity and inclination of protoplanetary embryos and low-mass protoplanets (from a fraction of an Earth mass to a few Earth masses) embedded in a protoplanetary disc, by means of three dimensional…

Earth and Planetary Astrophysics · Physics 2017-07-03 Henrik Eklund , Frédéric S. Masset

We study the evolution of the eccentricity of an eccentric orbit with spinning components. We develop a prescription to express the evolving eccentricity in terms of reference eccentricity and frequency. For that purpose we considered the…

General Relativity and Quantum Cosmology · Physics 2026-01-27 Sayak Datta

We consider the slowly rotating relativistic stars with a uniform angular velocity in the scalar-tensor gravity, and examine the rotational effect around such compact objects. For this purpose, we derive a 2nd order differential equation…

High Energy Astrophysical Phenomena · Physics 2015-06-12 Hajime Sotani

We develop a technique for estimating the inner eccentricity in hierarchical triple systems, with the inner orbit being initially circular, while the outer one is eccentric. We consider coplanar systems with well separated components and…

Earth and Planetary Astrophysics · Physics 2014-08-27 Nikolaos Georgakarakos

We use N-body simulations to explore the influence of orbital eccentricity on the dynamical evolution of star clusters. Specifically we compare the mass loss rate, velocity dispersion, relaxation time, and the mass function of star clusters…

Astrophysics of Galaxies · Physics 2015-06-19 Jeremy J. Webb , Nathan Leigh , Alison Sills , William E. Harris , Jarrod R. Hurley

Variability studies are an important tool to investigate key properties of stars and brown dwarfs. From photometric monitoring we are able to obtain information about rotation and magnetic activity, which are expected to change in the mass…

Astrophysics · Physics 2009-11-11 Alexander Scholz , Ray Jayawardhana , Jochen Eisloeffel , Dirk Froebrich

We study a three dimensional continuous model of gravitating matter rotating at constant angular velocity. In the rotating reference frame, by a finite dimensional reduction, we prove the existence of non radial stationary solutions whose…

Analysis of PDEs · Mathematics 2012-06-08 Juan Campos Serrano , Manuel Del Pino , Jean Dolbeault

We investigate how deformations of special relativity in momentum space can be extended to position space in a consistent way, such that the dimensionless contraction between wave-vector and coordinate-vector remains invariant. By using a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Hossenfelder

High precision photometry and spectroscopy of low-mass stars reveal a variety of properties standard stellar evolution cannot predict. Rotation, an essential ingredient of stellar evolution, is a step towards resolving the discrepancy…

Astrophysics · Physics 2009-11-13 D. Brown , M. Salaris

The understanding of the evolution of early-type stars is tightly related to that of the effects of rapid rotation. For massive stars, rapid rotation combines with their strong radiation-driven wind. The aim of this paper is to investigate…

Solar and Stellar Astrophysics · Physics 2019-05-22 D. Gagnier , M. Rieutord , C. Charbonnel , G. Putigny , F. Espinosa Lara

Searches for gravitational waves from compact binaries focus mostly on quasi-circular motion, with the rationale that wave emission circularizes the orbit. Here, we study the generality of this result, when astrophysical environments (e.g.,…

General Relativity and Quantum Cosmology · Physics 2021-01-20 Vitor Cardoso , Caio F. B. Macedo , Rodrigo Vicente

High precision photometry and spectroscopy of low-mass stars reveal a variety of properties standard stellar evolution cannot predict. Rotation, an essential ingredient of stellar evolution, is a step towards resolving the discrepancy…

Astrophysics · Physics 2007-11-15 D. Brown , M. Salaris , S. Cassisi , A. Pietrinferni

Extreme mass-ratio inspirals, in which solar-mass compact bodies spiral into supermassive black holes, are an important potential source for gravitational wave detectors. Because of the extreme mass-ratio, one can model these systems using…

General Relativity and Quantum Cosmology · Physics 2010-06-22 Adam Pound

We study the drag force on discrete objects with circular cross section moving slowly through a spherical granular medium. Variations in the geometry of the dragged object change the drag force only by a small fraction relative to shape…

Disordered Systems and Neural Networks · Physics 2009-11-07 I. Albert , J. G. Sample , A. J. Morss , S. Rajagopalan , A. -L. Barabasi , P. Schiffer

The dependence of macroscopic radiation pressure on the velocity of the object being pushed is commonly attributed to the Doppler effect. This need not be the case, and here we highlight velocity dependent radiation pressure terms that have…

Optics · Physics 2015-06-03 S. A. R. Horsley , M. Artoni , G. C. La Rocca

We analyse how drag forces modify the orbits of objects moving through extended gaseous distributions. We consider how hydrodynamic (surface area) drag forces and dynamical friction (gravitational) drag forces drive the evolution of orbital…

Earth and Planetary Astrophysics · Physics 2022-05-13 Ákos Szölgyén , Morgan MacLeod , Abraham Loeb

We investigate the resonant rotation of co-orbital bodies in eccentric and planar orbits. We develop a simple analytical model to study the impact of the eccentricity and orbital perturbations on the spin dynamics. This model is relevant in…

Earth and Planetary Astrophysics · Physics 2016-04-27 A. Leleu , P. Robutel , A. C. M. Correia

We numerically investigate the dynamics of rotation of several close-in terrestrial exoplanet candidates. In our model, the rotation of the planet is disturbed by the torque of the central star due to the asymmetric equilibrium figure of…

Earth and Planetary Astrophysics · Physics 2015-06-05 Nelson Callegari , Adrian Rodríguez

The eccentricity distribution of exoplanets is known from radial velocity surveys to be divergent from circular orbits beyond 0.1 AU. This is particularly the case for large planets where the radial velocity technique is most sensitive. The…

Earth and Planetary Astrophysics · Physics 2015-06-04 Stephen R. Kane , David R. Ciardi , Dawn M. Gelino , Kaspar von Braun
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