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We investigate the resonant rotation of circumbinary bodies in planar quasi-circular orbits. Denoting $n_b$ and $n$ the orbital mean motion of the inner binary and of the circumbinary body, respectively, we show that spin-orbit resonances…

Earth and Planetary Astrophysics · Physics 2015-08-26 Alexandre C. M. Correia , Adrien Leleu , Nicolas Rambaux , Philippe Robutel

Spin-orbit coupling can be described in two approaches. The method known as "the MacDonald torque" is often combined with an assumption that the quality factor Q is frequency-independent. This makes the method inconsistent, because the…

Earth and Planetary Astrophysics · Physics 2019-08-28 Michael Efroimsky

Many small moonlets, creating propeller structures, have been found in Saturn's rings by the Cassini spacecraft. We study the dynamical evolution of such 20-50m sized bodies which are embedded in Saturn's rings. We estimate the importance…

Earth and Planetary Astrophysics · Physics 2010-11-23 Hanno Rein , John C. B. Papaloizou

This paper deals with a new formulation of the creep tide theory (Ferraz-Mello, Cel. Mech. Dyn. Astron. {\bf 116}, 109, 2013 $-$ Paper I) and with the tidal dissipation predicted by the theory in the case of stiff bodies whose rotation is…

Earth and Planetary Astrophysics · Physics 2019-01-31 Hugo A. Folonier , Sylvio Ferraz-Mello , Eduardo Andrade-Ines

Cassini states correspond to the equilibria of the spin axis of a body when its orbit is perturbed. They were initially described for planetary satellites, but the spin axes of black hole binaries also present this kind of equilibria. In…

General Relativity and Quantum Cosmology · Physics 2016-01-15 Alexandre C. M. Correia

While numerous planetary and asteroid satellites show evidence for non-trivial rotation states, none are as emblematic as Hyperion, which has long been held as the most striking example of chaotic spin-orbit evolution in the Solar System.…

Earth and Planetary Astrophysics · Physics 2024-10-28 Max Goldberg , Konstantin Batygin

We analise the behavior of lithium abundance as a function of effective temperature, projected rotational velocity, orbital period and eccentricity for a sample of 68 binary systems with giant component and orbital period ranging from about…

Astrophysics · Physics 2009-11-07 J. M. Costa , L. da Silva , J. D. do Nascimento , J. R. De Medeiros

Spacecraft observations of Saturn's rings show evidence of an active aggregation-disaggregation process triggered by periodic influences from the nearby moons. This leads to clumping and break-up of the ring particles at time-scales of the…

Earth and Planetary Astrophysics · Physics 2013-01-16 Pedro J. Torres , Prasanna Madhusudhanan , Larry W. Esposito

We review our current understanding of the interior structure and thermal evolution of Saturn, with a focus on recent results in the Cassini era. There has been important progress in understanding physical inputs, including equations of…

Earth and Planetary Astrophysics · Physics 2016-09-22 Jonathan J. Fortney , Ravit Helled , Nadine Nettelmann , David J. Stevenson , Mark S. Marley , William B. Hubbard , Luciano Iess

Context: With the increasing knowledge of the terrestrial planets due to recent space probes it is possible to model their rotation with increasing accuracy. Despite that fact, an accurate determination of Venus precession and nutation is…

Earth and Planetary Astrophysics · Physics 2010-03-01 L. Cottereau , J. Souchay

We describe a generalization of the asymptotic calculation of the tidal torques experienced by a massive star as a result of a companion in circular orbit originally considered by Zahn (1975,1977) to the case of a rotating star when the…

Astrophysics · Physics 2015-06-24 J. C. Papaloizou , G. J. Savonije

In hierarchical triple systems, the inner binary is slowly perturbed by a distant companion, giving rise to large-scale oscillations in eccentricity and inclination, known as von-Zeipel-Lidov-Kozai (ZLK) oscillations. Stable systems with a…

Earth and Planetary Astrophysics · Physics 2024-12-19 Evgeni Grishin

The objective of this paper is to study the tidally locked 3:2 spin-orbit resonance of Mercury around the Sun. In order to achieve this goal, the effective potential energy that determines the spinning motion of an ellipsoidal planet around…

Earth and Planetary Astrophysics · Physics 2022-03-18 Christopher Clouse , Andrea Ferroglia , Miguel C. N. Fiolhais

Certain spiral density waves in Saturn's rings are generated through resonances with planetary normal modes, making them valuable probes of Saturn's internal structure. Previous research has primarily focused on the rotation rates of these…

We study a stiff quasi-periodic orbit of the electromagnetic two-body problem of Dirac's electrodynamics of point charges. We expand the delay equations of motion about circular orbits to obtain the variational equations up to nonlinear…

Atomic Physics · Physics 2009-11-11 Jayme De Luca

This research investigates the rotational dynamics of a charged axisymmetric spinning rigid body influenced by gyrostatic torque. The study also accounts for the effects of transverse and constant body-fixed torques and an electromagnetic…

Classical Physics · Physics 2025-03-04 A. H. Elneklawy

We investigate the flow in a spherical shell subject to a time harmonic oscillation of its rotation rate, also called longitudinal libration, when the oscillation frequency is larger than twice the mean rotation rate. In this frequency…

Fluid Dynamics · Physics 2013-10-08 Alban Sauret , Stéphane Le Dizès

In determining Mercury's core structure from its rotational properties, the value of the normalized moment of inertia, $C/MR^2$, from the location of Cassini 1 is crucial. If Mercury's spin axis occupies Cassini state 1, its position…

Astrophysics · Physics 2007-05-23 S. J. Peale

Context: Saturn's massive gravity is expected to causes a tide in Titan's atmosphere, producing a surface pressure variation through the orbit of Titan and tidal winds in the troposphere. The future Dragonfly mission could analyse this…

Earth and Planetary Astrophysics · Physics 2022-02-09 Benjamin Charnay , Gabriel Tobie , Sébastien Lebonnois , Ralph D. Lorenz

With the success of the Cassini-Huygens mission, the dynamic complexity surrounding natural satellites of Saturn began to be elucidated. New ephemeris could be calculated with a higher level of precision, which made it possible to study in…

Earth and Planetary Astrophysics · Physics 2022-10-12 Demetrio Tadeu Ceccatto , Nelson Callegari , Adrián Rodríguez
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