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The TRAPPIST-1 system is sufficiently closely packed that tides raised by one planet on another are significant. We investigate whether this source of tidal heating is comparable to eccentricity tides raised by the star. Assuming a…

Earth and Planetary Astrophysics · Physics 2019-04-17 Hamish Hay , Isamu Matsuyama

Tidal dissipation is known as one of the main drivers of the secular evolution of planetary systems. It directly results from dissipative mechanisms that occur in planets and stars' interiors and strongly depends on the structure and…

Earth and Planetary Astrophysics · Physics 2015-07-15 P. Auclair-Desrotour , S. Mathis , C. Le Poncin-Lafitte

The deformability of a compact object induced by a perturbing tidal field is encoded in the tidal Love numbers, which depend sensibly on the object's internal structure. These numbers are known only for static, spherically-symmetric…

General Relativity and Quantum Cosmology · Physics 2015-07-01 Paolo Pani , Leonardo Gualtieri , Andrea Maselli , Valeria Ferrari

Saturn raises a time-dependent tide on its small moon Enceladus, due to the eccentricity of the orbit. As shown in a companion paper (Goldreich et al.), the resulting tidal heating drives Enceladus into a limit cycle, in which its…

Earth and Planetary Astrophysics · Physics 2025-03-05 Yoram Lithwick

Travelling and rotating waves are ubiquitous phenomena observed in time dependent PDEs modelling the combined effect of dissipation and non-linear interaction. From an abstract viewpoint they appear as relative equilibria of an equivariant…

Numerical Analysis · Mathematics 2018-10-30 Wolf-Jürgen Beyn , Denny Otten

A large proportion of observed planetary systems contain several planets in a compact orbital configuration, and often harbor at least one close-in object. These systems are then most likely tidally evolving. We investigate how the effects…

Earth and Planetary Astrophysics · Physics 2015-11-11 Emeline Bolmont , Sean N. Raymond , Jeremy Leconte , Franck Hersant , Alexandre C. M. Correia

Tidal dissipation, which is directly linked to internal structure, is one of the key physical mechanisms that drive systems evolution and govern their architecture. A robust evaluation of its amplitude is thus needed to predict evolution…

Earth and Planetary Astrophysics · Physics 2014-12-10 F. Remus , S. Mathis , J. -P. Zahn , V. Lainey

The first-order general relativistic theory of a generic dissipative (heat-conducting, viscous, particle-creating) fluid is rediscussed from a unified covariant frame-independent point of view. By generalizing some previous works in the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. Silva , J. A. S. Lima , M. O. Calvão

We study systems of close orbiting planets evolving under the influence of tidal circularization. It is supposed that a commensurability forms through the action of disk induced migration and orbital circularization. After the system enters…

Earth and Planetary Astrophysics · Physics 2015-05-28 J. C. B. Papaloizou

The theoretical apsidal motion constants are key tools to investigate the stellar interiors in close eccentric binary systems. In addition, these constants and the moment of inertia are also important to investigate the tidal evolution of…

Solar and Stellar Astrophysics · Physics 2019-08-07 Antonio Claret

In close two-body astrophysical systems, such as binary stars or Hot Jupiter systems, tidal interactions often drive dynamical evolution on secular timescales. Many host stars and presumably giant gaseous planets feature a convective…

Solar and Stellar Astrophysics · Physics 2021-09-20 A. Astoul , A. J. Barker

Close-in planets undergo strong tidal interactions with the parent star that modify their spins and orbits. In the two-body problem, the final stage for tidal evolution is the synchronisation of the rotation and orbital periods, and the…

Earth and Planetary Astrophysics · Physics 2023-07-19 Ema F. S. Valente , Alexandre C. M. Correia

Sea ripples are small-scale bedforms which originate from the interaction of an oscillatory flow with an erodible sand bed. The phenomenon of sea ripple formation is investigated by means of direct numerical simulation in which the sediment…

Fluid Dynamics · Physics 2019-02-20 Marco Mazzuoli , Aman G. Kidanemariam , Markus Uhlmann

We carefully develop the framework required to model the dynamical tidal response of a spinning neutron star in an inspiralling binary system, in the context of Newtonian gravity, making sure to include all relevant details and connections…

General Relativity and Quantum Cosmology · Physics 2024-01-05 Pantelis Pnigouras , Fabian Gittins , Amlan Nanda , Nils Andersson , David Ian Jones

In close exoplanetary systems, tidal interactions drive orbital and spin evolution of planets and stars over long timescales. Tidally-forced inertial waves (restored by the Coriolis acceleration) in the convective envelopes of low-mass…

Solar and Stellar Astrophysics · Physics 2022-08-17 A. Astoul , A. J. Barker

Tidal interactions influence the orbital motions of binary star systems and extrasolar planets alike. Tides also affect stellar and planetary rotation rates. We demonstrate that in addition to altering spin synchronization and…

Solar and Stellar Astrophysics · Physics 2026-01-13 Janosz W. Dewberry

In this paper we develop a theory of disturbances induced by the stellar tidal field in a fully convective slowly rotating planet orbiting on a highly eccentric orbit around a central star. We show that there are two contributions to the…

Astrophysics · Physics 2009-11-07 P. B. Ivanov , J. C. B. Papaloizou

Evolution of binary objects under the influence of tides drastically affects the expected observational properties of the system. With the discovery of a large number of close-in hot Jupiter systems and eclipsing binaries from missions such…

Solar and Stellar Astrophysics · Physics 2022-03-16 Ruskin Patel , Kaloyan Penev

Core Accretion, the most widely accepted scenario for planet formation, postulates existence of km-sized solid bodies, called planetesimals, arranged in a razor-thin disc in the earliest phases of planet formation. In the Tidal Downsizing…

Earth and Planetary Astrophysics · Physics 2015-06-04 Sergei Nayakshin , Seung-Hoon Cha

We develop a numerical method for directly computing the dissipative dynamical tidal response of rapidly rotating, oblate stars and gaseous planets with realistic internal structures. Applying these calculations to neutrally and stably…

Earth and Planetary Astrophysics · Physics 2023-04-12 Janosz W. Dewberry