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Tidal effects arise from differential and inelastic deformation of a planet by a perturbing body. The continuous action of tides modify the rotation of the planet together with its orbit until an equilibrium situation is reached. It is…

Earth and Planetary Astrophysics · Physics 2010-09-20 Alexandre C. M. Correia , Jacques Laskar

The presence of planets around solar-type stars suggests that many white dwarfs should have relic planetary systems. While planets closer than $\sim$ 5~AU will most likely not survive the post-main sequence lifetime of its parent star, any…

Astrophysics · Physics 2009-11-07 John H. Debes , Steinn Sigurdsson

We investigate the secular evolution of the orbital semi-major axis and eccentricity due to mass transfer in eccentric binaries, assuming conservation of total system mass and orbital angular momentum. Assuming a delta function mass…

Astrophysics · Physics 2009-11-13 J. F. Sepinsky , B. Willems , V. Kalogera , F. A. Rasio

We investigate the long time stability of the Sun-Jupiter-Saturn-Uranus system by considering the planar, secular model. Our method may be considered as an extension of Lagrange's theory for the secular motions. Indeed, concerning the…

Mathematical Physics · Physics 2013-03-26 Marco Sansottera , Ugo Locatelli , Antonio Giorgilli

We investigate the orbital dynamics of circumbinary planetary systems with two planets around a circular or eccentric orbit binary. The orbits of the two planet are initially circular and coplanar to each other, but misaligned with respect…

Earth and Planetary Astrophysics · Physics 2021-12-15 Cheng Chen , Stephen H. Lubow , Rebecca G. Martin

As galaxy simulations increase in resolution more attention is being paid towards the evolution of dwarf galaxies and how the simulations compare to observations. Despite this increasing resolution we are however, far away from resolving…

Astrophysics of Galaxies · Physics 2015-09-30 Matthew Nichols , Yves Revaz , Pascale Jablonka

We investigate the long-term dynamical stability of hypothetical moons orbiting extrasolar giant planets. Stellar tides brake a planet's rotation and, together with tidal migration, act to remove satellites; this process limits the…

Astrophysics · Physics 2009-11-07 Jason W. Barnes , D. P. O'Brien

Many recent observational studies have concluded that planetary systems commonly exist in multiple-star systems. At least ~20%, and presumably a larger fraction of the known extrasolar planetary systems are associated with one or more…

Astrophysics · Physics 2009-11-13 Genya Takeda , Ryosuke Kita , Frederic A. Rasio

Since the discovery of the first extra-solar planets, we are confronted with the puzzling diversity of planetary systems. Processes like planet radial migration in gas-disks and planetary orbital instabilities, often invoked to explain the…

Earth and Planetary Astrophysics · Physics 2015-05-20 Alessandro Morbidelli

We study how close-in systems such as those detected by Kepler are affected by the dynamics of bodies in the outer system. We consider two scenarios: outer systems of giant planets potentially unstable to planet--planet scattering, and wide…

Earth and Planetary Astrophysics · Physics 2017-05-03 Alexander J Mustill , Melvyn B Davies , Anders Johansen

Major (exo)planetary and satellite bodies seem to concentrate at intermediate areas of the radial distributions of all the objects present in each (sub)system. We prove rigorously that the secular evolution of (exo)planets and satellites…

Earth and Planetary Astrophysics · Physics 2021-01-22 Dimitris M. Christodoulou , Demosthenes Kazanas

Many exoplanets have been observed close to their parent stars with orbital periods of a few days. As for the major satellites of the Jovian planets, the figure of these planets is expected to be strongly shaped by tidal forces. However,…

Earth and Planetary Astrophysics · Physics 2013-04-05 Alexandre C. M. Correia , Adrian Rodriguez

We study the chaotic and secular evolution of hierarchical quadruple systems in the $3+1$ configuration, focusing on the evolution of mutual inclination of the inner binaries as the system undergoes coupled Lidov-Kozai (LK) oscillations. We…

Earth and Planetary Astrophysics · Physics 2017-12-27 Evgeni Grishin , Dong Lai , Hagai B. Perets

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

With the availability of considerably more data, we revisit the question of how special our Solar System is, compared to observed exoplanetary systems. To this goal, we employ a mathematical transformation that allows for a meaningful,…

Earth and Planetary Astrophysics · Physics 2015-09-16 Rebecca G. Martin , Mario Livio

In this paper we investigate the effects that an anomalous acceleration as that experienced by the Pioneer spacecraft after they passed the 20 AU threshold would induce on the orbital motions of the Solar System planets placed at…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lorenzo Iorio , Giuseppe Giudice

Our investigation is motivated by the recent discovery of asteroids orbiting the Sun and simultaneously staying near one of the Solar System planets for a long time. This regime of motion is usually called the quasi-satellite regime, since…

Earth and Planetary Astrophysics · Physics 2014-09-09 V. Sidorenko , A. Neishtadt , A. Artemyev , L. Zelenyi

Since it was proposed the exomoon candidate Kepler-1625 b-I changed the way we see satellite systems. Because of its unusual physical characteristics, many questions about the stability and origin of this candidate were raised. Currently,…

Earth and Planetary Astrophysics · Physics 2022-01-19 Ricardo Moraes , Gabriel Borderes-Motta , Othon Cabo Winter , Julio Monteiro

Studying exoplanets with their parent stars is crucial to understand their population, formation and history. We review some of the key questions regarding their evolution with particular emphasis on giant gaseous exoplanets orbiting close…

Solar and Stellar Astrophysics · Physics 2015-06-23 Tristan Guillot , Douglas N. C. Lin , Pierre Morel , Mathieu Havel , Vivien Parmentier