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This study analyzes secular dynamics using averaged equations that detail tidal effects on the motion of two extended bodies in Keplerian orbits. It introduces formulas for energy dissipation within each body of a binary system. The…

Earth and Planetary Astrophysics · Physics 2024-02-19 Clodoaldo Ragazzo , Lucas Ruiz dos Santos

The fluctuation relations, which characterize irreversible processes in Nature, are among the most important results in non-equilibrium physics. In short, these relations say that it is exponentially unlikely for us to observe a…

Quantum Physics · Physics 2023-08-30 Marcos L. W. Basso , Jonas Maziero , Lucas C. Céleri

In this work, we investigate the influence of planetary tidal interactions on the transit-timing variations of short-period low-mass rocky exoplanets. For such purpose, we employ the recently-developed creep tide theory to compute…

Earth and Planetary Astrophysics · Physics 2021-07-07 Gabriel de Oliveira Gomes , Emeline Bolmont , Sergi Blanco-Cuaresma

We obtain a remarkable semi-analytic expression concerning the role of purely tidal curvature on accelerated probes, revealing some novel insights into the role of absolute vs. tidal acceleration in the response of such probes. The key…

General Relativity and Quantum Cosmology · Physics 2021-10-22 Hari K , Dawood Kothawala

General relativity predicts that two freely counter-revolving test particles in the exterior field of a central rotating mass take different periods of time to complete the same full orbit; this time difference leads to the gravitomagnetic…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Bahram Mashhoon , Lorenzo Iorio , Herbert Lichtenegger

In this paper we deduce a quite general formula which allows the relation of clock rates at two different space time points to be discussed. In the case of a perturbed Robertson-Walker metric, our analysis leads to an equation for the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Chongming Xu , Xuejun Wu , Erwin Bruening

Atmospheric thermal tides arise from the diurnal contrast in stellar irradiation. They exert a significant influence on the long-term rotational evolution of rocky planets because they can accelerate the planetary spin, thereby…

Earth and Planetary Astrophysics · Physics 2025-12-12 Pierre Auclair-Desrotour , Mohammad Farhat , Gwenaël Boué , Jacques Laskar

Most prior works studying tidal interactions in tight star/planet or star/star binary systems have employed linear theory of a viscous fluid in a uniformly-rotating two-dimensional spherical shell. However, compact systems may have…

Solar and Stellar Astrophysics · Physics 2023-10-11 Aurélie Astoul , Adrian J. Barker

Semidiurnal atmospheric thermal tides are important for terrestrial exoplanets in the habitable zone of their host stars. With solid tides, they torque these planets, thus contributing to determine their rotation states as well as their…

Earth and Planetary Astrophysics · Physics 2017-10-20 Pierre Auclair-Desrotour , Stéphane Mathis , Jacques Laskar

Tidal and tidal-resonant effects in coalescing compact binary systems are investigated by direct numerical integration of the equations of motion. For the stars polytropic models are used. The tidal effects are found to be dominated by the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Kostas D. Kokkotas , Gerhard Schaefer

We discuss the linear response to low-frequency tidal forcing of fluid bodies that are slowly and uniformly rotating, are neutrally stratified and may contain a solid or fluid core. This problem may be regarded as a simplified model of…

Earth and Planetary Astrophysics · Physics 2015-06-12 Gordon I. Ogilvie

We study tidal dissipation in models of rotating giant planets with masses in the range $0.1 - 10 M_\mathrm{J}$ throughout their evolution. Our models incorporate a frequency-dependent turbulent effective viscosity acting on equilibrium…

Earth and Planetary Astrophysics · Physics 2023-11-28 Yaroslav A. Lazovik , Adrian J. Barker , Nils B. de Vries , Aurélie Astoul

We study the effect of tidal forcing on gravitational wave signals from tidally relaxed white dwarf pairs in the LISA, DECIGO and BBO frequency band ($0.1-100\,{\rm mHz}$). We show that for stars not in hydrostatic equilibrium (in their own…

High Energy Astrophysical Phenomena · Physics 2020-01-08 L. O. McNeill , Rosemary A. Mardling , B. Müller

The passage of time is tracked by counting oscillations of a frequency reference, such as Earth's revolutions or swings of a pendulum. By referencing atomic transitions, frequency (and thus time) can be measured more precisely than any…

Paper on the creep tide theory and its applications to satellites and planets with emphasis on a new set of differential equations allowing easier numerical studies. The creep tide theory is a new paradigm that does not fix a priori the…

Earth and Planetary Astrophysics · Physics 2020-04-03 Sylvio Ferraz-Mello , Cristian Beaugé , Hugo Alberto Folonier , Gabriel Oliveira Gomes

We study Doppler effects in curved space-time, i.e. the frequency shifts induced on electromagnetic signals propagating in the gravitational field. In particular, we focus on the frequency shift due to the bending of light rays in weak…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Matteo Luca Ruggiero , Angelo Tartaglia , Lorenzo Iorio

Tidal interactions have a significant influence on the late dynamics of compact binary systems, which constitute the prime targets of the upcoming network of gravitational-wave detectors. We refine the theoretical description of tidal…

General Relativity and Quantum Cosmology · Physics 2014-12-17 Donato Bini , Thibault Damour

In this paper, we want to study the tidal effect of an external perturber upon a disc galaxy based on the generalization of already used Keplerian potential. The generalization of the simple ideal Keplerian potential includes an orbital…

General Physics · Physics 2015-11-09 M. Alavi , H. Razmi

The notion of time is given a different footing in Quantum Mechanics and General Relativity, treated as a parameter in the former and being an observer dependent property in the later. From a operational point of view time is simply the…

Quantum Physics · Physics 2017-05-24 Kiran Khosla , Natacha Altamirano

The Love numbers of a gravitating body are response coefficients encoding its tidal deformability. In compact binary systems, they appear in the gravitational waveform during the inspiral phase and will be measurable by upcoming…

General Relativity and Quantum Cosmology · Physics 2026-04-13 María J. Rodríguez , Luca Santoni , Adam R. Solomon
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