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The rotation of Mercury is presently captured in a 3/2 spin-orbit resonance with the orbital mean motion. The capture mechanism is well understood as the result of tidal interactions with the Sun combined with planetary perturbations.…

Earth and Planetary Astrophysics · Physics 2009-01-23 Alexandre C. M. Correia , Jacques Laskar

The planet Mercury is locked in a spin-orbit resonance where it rotates three times about its spin axis for every two orbits about the Sun. The current explanation for this unique state assumes that the initial rotation of this planet was…

Earth and Planetary Astrophysics · Physics 2011-12-13 Mark A. Wieczorek , Alexandre C. M. Correia , Mathieu Le Feuvre , Jacques Laskar , Nicolas Rambaux

The dynamical evolution of terrestrial planets resembling Mercury in the vicinity of spin-orbit resonances is investigated using comprehensive harmonic expansions of the tidal torque taking into account the frequency-dependent quality…

Earth and Planetary Astrophysics · Physics 2015-05-30 Valeri V. Makarov

While it is accepted that the eccentricity of Mercury (0.206) favours entrapment into the 3:2 spin-orbit resonance, open is the question how and when the capture took place. A recent work by Makarov (2012) has demonstrated that trapping…

Earth and Planetary Astrophysics · Physics 2014-08-26 Benoit Noyelles , Julien Frouard , Valeri Makarov , Michael Efroimsky

A wide range of exoplanet and exomoon models are characterized by a finite average rigidity and a viscosity much lower than the typical values for terrestrials. Such semiliquid bodies may or may not have rigid crusts with permanent figures.…

Earth and Planetary Astrophysics · Physics 2015-09-16 Valeri V. Makarov

We investigate the spin behavior of close-in rocky planets and the implications for their orbital evolution. Considering that the planet rotation evolves under simultaneous actions of the torque due to the equatorial deformation and the…

Earth and Planetary Astrophysics · Physics 2015-06-11 Adrián Rodríguez , Nelson Callegari , Tatiana A. Michtchenko , Hauke Hussmann

The present obliquity of Mercury is very low (less than 0.1 degree), which led previous studies to always adopt a nearly zero obliquity during the planet's past evolution. However, the initial orientation of Mercury's rotation axis is…

Earth and Planetary Astrophysics · Physics 2009-08-28 A. C. M. Correia , J. Laskar

Various theories have been proposed to explain the Moon's current inclined orbit. We test the viability of these theories by reconstructing the thermal-orbital history of the Moon. We build on past thermal-orbital models and incorporate the…

Earth and Planetary Astrophysics · Physics 2022-09-23 Brynna G. Downey , Francis Nimmo , Isamu Matsuyama

The effect of radial drift rate on mean motion resonance capture is studied for prograde, polar and retrograde orbits. We employ the numerical framework of our earlier exploration of resonance capture at arbitrary inclination. Randomly…

Earth and Planetary Astrophysics · Physics 2017-02-02 Fathi Namouni , Maria Helena Moreira Morais

Previous studies have shown that planets that rotate retrograde (backwards with respect to their orbital motion) generally experience less severe obliquity variations than those that rotate prograde (the same direction as their orbital…

Earth and Planetary Astrophysics · Physics 2020-04-09 Steven M. Kreyche , Jason W. Barnes , Billy L. Quarles , Jack J. Lissauer , John E. Chambers , Matthew M. Hedman

Having a massive moon has been considered as a primary mechanism for stabilized planetary obliquity, an example of which being our Earth. This is, however, not always consistent with the exoplanetary cases. This article details the…

Earth and Planetary Astrophysics · Physics 2022-08-24 Renyi Chen , Gongjie Li , Molei Tao

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

Resonance capture is studied numerically in the three-body problem for arbitrary inclinations. Massless particles are set to drift from outside the 1:5 resonance with a Jupiter-mass planet thereby encountering the web of the planet's…

Earth and Planetary Astrophysics · Physics 2015-06-23 Fathi Namouni , Maria Helena Moreira Morais

Many science missions require an unobstructed view of space and a stable thermal environment but lack the technical or programmatic resources to reach orbits that satisfy these needs. This paper presents a high Earth orbit in 2:1 resonance…

Earth and Planetary Astrophysics · Physics 2013-08-09 Joseph W. Gangestad , Gregory A. Henning , Randy R. Persinger , George R. Ricker

Migration of planetary systems caused by the action of dissipative forces may lead the planets to be trapped in a resonance. In this work we study the conditions and the dynamics of such resonant trapping. Particularly, we are interested in…

Earth and Planetary Astrophysics · Physics 2016-11-03 George Voyatzis

We perform numerical simulations of the TRAPPIST-1 system of seven exoplanets orbiting a nearby M dwarf, starting with a previously suggested stable configuration. The long-term stability of this configuration is confirmed, but the motion…

Earth and Planetary Astrophysics · Physics 2018-05-01 Valeri V. Makarov , Ciprian T. Berghea , Michael Efroimsky

We reexamine the popular belief that a telluric planet or satellite on an eccentric orbit can, outside a spin-orbit resonance, be captured in a quasi-static tidal equilibrium called pseudosynchronous rotation. The existence of such…

Earth and Planetary Astrophysics · Physics 2015-06-11 Valeri V. Makarov , Michael Efroimsky

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

We address the thermal history of the Earth after the Moon-forming impact, taking tidal heating and thermal blanketing by the atmosphere into account. The atmosphere sets an upper bound of ~100 W/m^2 on how quickly the Earth can cool. The…

Earth and Planetary Astrophysics · Physics 2015-08-07 Kevin J. Zahnle , Roxana Lupu , Anthony Dobrovolskis , Norman H. Sleep

When a hot Jupiter orbits a star whose effective temperature exceeds $\sim$6100 K, its orbit normal tends to be misaligned with the stellar spin axis. Cooler stars typically have smaller obliquities, which may have been damped by hot…

Earth and Planetary Astrophysics · Physics 2025-03-17 J. J. Zanazzi , Eugene Chiang
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