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The rotational evolution of Mercury's mantle and its core under conservative and dissipative torques is important for understanding the planet's spin state. Dissipation results from tides and viscous, magnetic and topographic core--mantle…

Earth and Planetary Astrophysics · Physics 2015-06-18 Stanton J. Peale , Jean-Luc Margot , Steven A Hauck , II , Sean C. Solomon

Mercury is expected to deviate from the classical Cassini state since this state is defined for a uniformly precessing rigid planet. We develop an extended Cassini state model that includes the variations (or nutations) in obliquity and…

Earth and Planetary Astrophysics · Physics 2017-05-03 Rose-Marie Baland , Marie Yseboodt , Attilio Rivoldini , Tim Van Hoolst

The planetary perturbations on Mercury's orbit lead to long-period forced librations of Mercury's mantle. These librations have previously been studied for a planet with two layers: a mantle and a liquid core. Here, we calculate how the…

Earth and Planetary Astrophysics · Physics 2015-06-16 Marie Yseboodt , Attilio Rivoldini , Tim Van Hoolst , Mathieu Dumberry

The purpose of this work is to determine the location and stability of the Cassini states of a celestial body with an inviscid fluid core surrounded by a perfectly rigid mantle. Both situations where the rotation speed is either…

Earth and Planetary Astrophysics · Physics 2020-04-22 Gwenaël Boué

We compute predictions of the deviation of Mercury's spin axis from an exact Cassini state caused by tidal dissipation, and viscous and electromagnetic (EM) friction at the core-mantle boundary (CMB) and inner core boundary (ICB). Viscous…

Earth and Planetary Astrophysics · Physics 2022-04-05 Ian MacPherson , Mathieu Dumberry

Earth-based radar observations of the rotational dynamics of Mercury (Margot et al. 2012) combined with the determination of its gravity field by MESSENGER (Smith et al. 2012) give clues on the internal structure of Mercury, in particular…

Earth and Planetary Astrophysics · Physics 2013-10-22 Benoit Noyelles , Christoph Lhotka

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

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

An analysis based on the direct torque equations including tidal dissipation and a viscous core-mantle coupling is used to determine the damping time scales of O(10^5) years for free precession of the spin about the Cassini state and free…

Astrophysics · Physics 2009-11-11 S. J. Peale

We describe the current state of knowledge about Mercury's interior structure. We review the available observational constraints, including mass, size, density, gravity field, spin state, composition, and tidal response. These data enable…

Earth and Planetary Astrophysics · Physics 2020-02-11 Jean-Luc Margot , Steven A. Hauck , Erwan Mazarico , Sebastiano Padovan , Stanton J. Peale

We present a model of the precession dynamics of the Moon that comprises a fluid outer core and a solid inner core. We show that three Cassini states associated with the inner core exist. The tilt angle of the inner core in each of these…

Earth and Planetary Astrophysics · Physics 2022-01-04 Christopher Stys , Mathieu Dumberry

We constructed a 6-degrees of freedom rotational model of Titan as a 3-layer body consisting of a rigid core, a fluid global ocean, and a floating ice shell. The ice shell exhibits partially-compensated lateral thickness variations in order…

Earth and Planetary Astrophysics · Physics 2014-03-11 Benoit Noyelles , Francis Nimmo

Mercury is the target of two space missions: MESSENGER (NASA) which orbit insertion is planned for March 2011, and ESA/JAXA BepiColombo, that should be launched in 2014. Their instruments will observe the surface of the planet with a high…

Earth and Planetary Astrophysics · Physics 2010-05-25 B. Noyelles , J. Dufey , A. Lemaitre

The Moon is known to have a small liquid core, and it is thought that in the distant past the core may have produced strong magnetic fields recorded in lunar samples. Here we implement a numerical model of lunar orbital and rotational…

Earth and Planetary Astrophysics · Physics 2020-01-08 Matija Ćuk , Douglas P. Hamilton , Sarah T. Stewart

We analyze radio tracking data obtained during 1311 orbits of the MESSENGER spacecraft in the period March 2011 to April 2014. A least-squares minimization of the residuals between observed and computed values of two-way range and Doppler…

Earth and Planetary Astrophysics · Physics 2016-10-19 Ashok Kumar Verma , Jean-Luc Margot

MESSENGER magnetometer data show that Mercury's magnetic field is not only exceptionally weak but also has a unique geometry. The internal field resembles an axial dipole that is offset to the North by 20% of the planetary radius. This…

Earth and Planetary Astrophysics · Physics 2017-01-19 Johannes Wicht , Daniel Heyner

Analyses of Lunar Laser Ranging data show that the spin-symmetry axis of the Moon is ahead of its expected Cassini state by an angle of $\phi_p$ = 0.27 arcsec. This indicates the presence of one or more dissipation mechanisms acting on the…

Earth and Planetary Astrophysics · Physics 2022-01-04 Olivier Organowski , Mathieu Dumberry

The extraordinary activity at Enceladus' warm south pole indicates the presence of an internal global or local reservoir of liquid water beneath the surface. While Tyler (2009, 2011) has suggested that the geological activity and the large…

Earth and Planetary Astrophysics · Physics 2016-01-27 Rose-Marie Baland , Marie Yseboodt , Tim Van Hoolst

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

Mercury is the unique known planet that is situated in a 3:2 spin-orbit resonance nowadays. Observations and models converge to the same conclusion: the planet is presently deeply trapped in the resonance and situated at the Cassini state…

Dynamical Systems · Mathematics 2015-10-23 M. Sansottera , C. Lhotka , A. Lemaître
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