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The planetary restricted three-body problem (RTBP) is considered. The primary mass M is much more than another masses mj, i=1..N, which revolve around M. The massless probe particle m moves on elliptic orbit, is perturbed by mj. It is well…

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

The tidal heating of hypothetical rocky (or terrestrial) extra-solar planets spans a wide range of values depending on stellar masses and initial orbits. Tidal heating may be sufficiently large (in many cases, in excess of radiogenic…

Astrophysics · Physics 2009-11-13 Brian Jackson , Rory Barnes , Richard Greenberg

We provide an 'effective theory' of tidal dissipation in extrasolar planet systems by empirically calibrating a model for the equilibrium tide. The model is valid to high order in eccentricity and parameterised by two constants of bulk…

Solar and Stellar Astrophysics · Physics 2015-05-20 Brad Hansen

The Earth is a rapidly rotating body. The centrifugal pull makes its shape resemble a flattened ellipsoid and Coriolis forces support waves in its fluid core, known as inertial waves. These waves can lead to global oscillations, or modes,…

Earth and Planetary Astrophysics · Physics 2019-05-13 Santiago Andres Triana , Jeremy Rekier , Antony Trinh , Veronique Dehant

(abbreviated) We consider the problem of the tidal capture or circularisation from large eccentricity of a uniformly rotating object. We extend the self-adjoint formalism introduced in Papaloizou \& Ivanov 2005 (PI) to derive general…

Astrophysics · Physics 2008-11-26 P. B. Ivanov , J. C. B. Papaloizou

Thermal tides can torque the atmosphere of hot Jupiters into asynchronous rotation, while these planets are usually assumed to be locked into spin-orbit synchronization with their host star. In this work, our goal is to characterize the…

Earth and Planetary Astrophysics · Physics 2018-06-06 Pierre Auclair-Desrotour , Jérémy Leconte

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

Potentially habitable planets can orbit close enough to their host star that the differential gravity across their diameters can fix the rotation rate at a specific frequency, a process called tidal locking. Tidally locked planets on…

Earth and Planetary Astrophysics · Physics 2017-10-18 Rory Barnes

The last decade of research on elliptical galaxies has produced a wealth of new information concerning both their detailed structure and their global scaling relations. We review the old and new results about isophote shapes and…

Astrophysics · Physics 2007-05-23 Ralf Bender , Roberto P. Saglia

Within hierarchical triple stellar systems, there exists a tidal process unique to them, known as tertiary tides. In this process, the tidal deformation of a tertiary in a hierarchical triple drains energy from the inner binary, causing the…

Solar and Stellar Astrophysics · Physics 2025-09-03 Yan Gao , Tjarda Boekholt , Devismita Panda , Tatsuya Akiba , Silvia Toonen

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

Compact multi-planet systems containing super-Earths or sub-Neptunes, commonly found around solar-type stars, may be surrounded by external giant planet or stellar companions, which can shape the architechture and observability of the inner…

Earth and Planetary Astrophysics · Physics 2021-03-23 Bonan Pu , Dong Lai

We investigate baroclinic instability in flow conditions relevant to hot extrasolar planets. The instability is important for transporting and mixing heat, as well as for influencing large-scale variability on the planets. Both linear…

Earth and Planetary Astrophysics · Physics 2015-06-05 Inna Polichtchouk , James Y-K. Cho

Many exo-solar systems discovered in the last decade consist of planets orbiting in resonant configurations and consequently, their evolution should show long-term stability. However, due to the mutual planetary interactions a multi-planet…

Earth and Planetary Astrophysics · Physics 2013-06-12 George Voyatzis , Kyriaki I. Antoniadou , John D. Hadjidemetriou

The long-term stability of the evolution of two-planet systems is considered by using the general three body problem (GTBP). Our study is focused on the stability of systems with adjacent orbits when at least one of them is highly…

Earth and Planetary Astrophysics · Physics 2017-02-10 Kyriaki I. Antoniadou , George Voyatzis

In close binary systems, rotation and tidal forces of the component stars deform each other and destroy their spherical symmetry. We present new models for low-mass, pre-main sequence stars that include the combined distortion effects of…

Solar and Stellar Astrophysics · Physics 2010-11-02 N. R. Landin , L. T. S. Mendes , L. P. R. Vaz

Subpolar frontal zones are characterized by energetic storms, intense seasonal cycles, and close connectivity with surrounding continental shelf topography. At the same time, predicting the ocean state depends on appropriate partition of…

Atmospheric and Oceanic Physics · Physics 2024-10-15 Laur Ferris , Donglai Gong , John Klinck

Contraction, expansion and despinning have been common in the past evolution of Solar System bodies. These processes deform the lithosphere until it breaks along faults. The type and orientation of faults are usually determined under the…

Geophysics · Physics 2010-11-09 Mikael Beuthe

Planetary systems evolve over secular time scales. One of the key mechanisms that drive this evolution is tidal dissipation. Submitted to tides, stellar and planetary fluid layers do not behave like rocky ones. Indeed, they are the place of…

Earth and Planetary Astrophysics · Physics 2015-10-05 Pierre Auclair-Desrotour , Stéphane Mathis , Christophe Le Poncin-Lafitte

We review the models and results of simulations of self-gravitating, gaseous protoplanetary disks in binary star systems. These models have been calculated by three different groups with three different computational methods, two…

Astrophysics · Physics 2007-05-23 Lucio Mayer , Alan Boss , Andrew F. Nelson
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