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We describe the long-term evolution of compact systems of terrestrial planets, using a set of simulations that match the statistical properties of the observed exoplanet distribution. The evolution is driven by tidal dissipation in the…

Earth and Planetary Astrophysics · Physics 2015-06-19 Bradley M. S. Hansen , Norman Murray

We study orbital evolution of multi-planet systems that form a resonant chain, with nearest neighbours close to first order commensurabilities, incorporating orbital circularisation produced by tidal interaction with the central star. We…

Earth and Planetary Astrophysics · Physics 2021-06-23 J. C. B. Papaloizou

The aim of this letter is to discuss the virtual identity of two recent tidal theories: the creep tide theory of Ferraz-Mello (Cel. Mech. Dyn. Astron. 116, 109, 2013) and the Maxwell model developed by Correia et al. (Astron. Astrophys.…

Earth and Planetary Astrophysics · Physics 2015-07-08 Sylvio Ferraz-Mello

The Earth's obliquity is stabilized by the Moon, which facilitates a rapid precession of the Earth's spin-axis, de-tuning the system away from resonance with orbital modulation. It is however, likely that the architecture of the Solar…

Earth and Planetary Astrophysics · Physics 2015-06-22 Gongjie Li , Konstantin Batygin

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

Low-mass satellites, like asteroids and comets, are expected to be present around the black hole at the Galactic center. We consider small bodies orbiting a black hole, and we study the evolution of their orbits due to tidal interaction…

Astrophysics · Physics 2011-08-31 A. Cadez , M. Calvani , U. Kostic

Tidal interactions between Saturn and its satellites play a crucial role in both the orbital migration of the satellites and the heating of their interiors. Therefore constraining the tidal dissipation of Saturn (here the ratio k2/Q) opens…

Earth and Planetary Astrophysics · Physics 2015-06-04 V. Lainey , Ö. Karatekin , J. Desmars , S. Charnoz , J-E. Arlot , N. Emelyanov , C. Le Poncin-Lafitte , S. Mathis , F. Remus , G. Tobie , J-P. Zahn

We study tidal dissipation in stars with masses in the range $0.1-1.6 M_\odot$ throughout their evolution, including turbulent effective viscosity acting on equilibrium tides and inertial waves in convection zones, and internal gravity…

Earth and Planetary Astrophysics · Physics 2020-09-09 Adrian J. Barker

There is an intriguing and growing population of Neptune-sized planets with stellar obliquities near $\sim90^{\circ}$. One previously proposed formation pathway is a disk-driven resonance, which can take place at the end stages of planet…

Earth and Planetary Astrophysics · Physics 2024-10-04 Emma Louden , Sarah Millholland

Tidal dissipation inside giant planets is important for the orbital evolution of their natural satellites. It is conventionally treated by parameterized equilibrium tidal theory, in which the tidal torque declines rapidly with distance, and…

Earth and Planetary Astrophysics · Physics 2017-12-13 Jing Luan , Jim Fuller , Eliot Quataert

Thermal tides are atmospheric planetary-scale waves with periods that are harmonics of the solar day. In the Martian atmosphere thermal tides are known to be especially significant compared to any other known planet. Based on the data set…

Earth and Planetary Astrophysics · Physics 2024-08-29 J. Hernandez-Bernal , A. Spiga , F. Forget , D. Banfield

The inner moons of Jupiter and Saturn migrate outwards due to tidal energy dissipation within the planets, the details of which remain poorly understood. We demonstrate that resonance locking between moons and internal oscillation modes of…

Earth and Planetary Astrophysics · Physics 2016-09-13 Jim Fuller , Jing Luan , Eliot Quataert

The evolution of exoplanetary systems with a close-in planet is ruled by the tides mutually raised on the two bodies and by the magnetic braking of the host star. This paper deals with consequences of this evolution and some features that…

Earth and Planetary Astrophysics · Physics 2023-07-05 S. Ferraz-Mello , C. Beaugé

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

We calculate the tidal torque on a uniformly rotating 1 Msun star at various stages of core hydrogen burning by an orbiting companion. We apply the `traditional approximation' and solve the radial part of the tidal perturbations by matrix…

Astrophysics · Physics 2009-11-07 G. J. Savonije , M. G. Witte

We have proposed a model to obtain the length of the day and month at any geologic time. The day is found to increase by 0.002 sec/century since the seventeenth century. The lengthening of the day is attributed entirely to the increasing…

General Physics · Physics 2007-05-23 A. I. Arbab

Thermal tides are atmospheric tides caused by variations in day-night insolation, similar to gravitational tides but with key differences. While both result in delayed mass redistribution, energy dissipation, and angular momentum exchanges…

Earth and Planetary Astrophysics · Physics 2024-10-22 Pierre Auclair-Desrotour , Mohammad Farhat , Gwenaël Boué , Russell Deitrick , Jacques Laskar

According to the giant impact theory, the Moon formed through accreting the debris disk produced by a collision between Theia and the proto-Earth, and the predicted lunar orbital inclination relative to the Earth's equatorial plane is about…

Earth and Planetary Astrophysics · Physics 2026-04-01 Wenshuai Liu

Since 1995, numerous close-in planets have been discovered around low-mass stars (M to A-type stars). These systems are susceptible to be tidally evolving, in particular the dissipation of the kinetic energy of tidal flows in the host star…

Earth and Planetary Astrophysics · Physics 2016-11-28 Emeline Bolmont , Florian Gallet , Stéphane Mathis , Corinne Charbonnel , Louis Amard

This paper presents one analytical tidal theory for a viscoelastic multi-layered body with an arbitrary number of homogeneous layers. Starting with the static equilibrium figure, modified to include tide and differential rotation, and using…

Earth and Planetary Astrophysics · Physics 2017-09-13 Hugo A. Folonier , Sylvio Ferraz-Mello