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This paper presents a study of the Poincar\'e-Hough model of rotation of the synchronous natural satellites, in which these bodies are assumed to be composed of a rigid mantle and a triaxial cavity filled with inviscid fluid of constant…

地球与行星天体物理 · 物理学 2013-01-01 Benoît Noyelles

On the basis of gravity and radar observations with the Cassini spacecraft, the moment of inertia of Titan and the orientation of Titan's rotation axis have been estimated in recent studies. According to the observed orientation, Titan is…

地球物理 · 物理学 2011-04-15 Rose-Marie Baland , Tim Van Hoolst , Marie Yseboodt , Ozgur Karatekin

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…

地球与行星天体物理 · 物理学 2014-03-11 Benoit Noyelles , Francis Nimmo

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…

地球与行星天体物理 · 物理学 2020-04-22 Gwenaël Boué

We consider a mathematical model of an orbiting satellite, comprising a rigid carrier body and a flexible boom, operating under the influence of gravity gradient torque. This model is represented by a nonlinear control system, which…

最优化与控制 · 数学 2025-08-06 Julia Kalosha , Yevgeniia Yevgenieva , Alexander Zuyev

The gravitational influence of a second satellite on the rotation of an oblate moon is numerically examined. A simplified model, assuming the axis of rotation perpendicular to the (Keplerian) orbit plane, is derived. The differences between…

地球与行星天体物理 · 物理学 2016-09-07 Mariusz Tarnopolski

The obliquity of the Galilean satellites is small but not yet observed. Studies of cycloidal lineaments and strike-slip fault patterns on Europa suggest that Europa's obliquity is about 1 deg, although theoretical models of the obliquity…

地球物理 · 物理学 2012-05-25 R. -M. Baland , M. Yseboodt , T. Van Hoolst

We study the collapse of an isolated, initially cold, irregular (but almost spherical) and (slightly) inhomogeneous cloud of self-gravitating particles. The cloud is driven towards a virialized quasi-equilibrium state by a fast relaxation…

星系天体物理 · 物理学 2017-02-08 David Benhaiem , Francesco Sylos Labini

This paper presents one analytical tidal theory for a viscoelastic multi-layered body with an arbitrary number of homogeneous layers. Starting with the static equilibrium figure, modified to include tide and differential rotation, and using…

地球与行星天体物理 · 物理学 2017-09-13 Hugo A. Folonier , Sylvio Ferraz-Mello

This note tackles the problem of the rotation of Io with the 4-degrees of freedom Poincar\'e-Hough model. Io is modeled as a 2-layer body, i.e. a triaxial fluid core and a rigid outer layer. We show that the longitudinal librations should…

地球与行星天体物理 · 物理学 2013-01-11 Benoît Noyelles

This paper explores the dynamic properties of the planar system of an ellipsoidal satellite in an equatorial orbit about an oblate primary. In particular, we investigate the conditions for which the satellite is bound in librational motion…

地球与行星天体物理 · 物理学 2015-06-05 Jay W. McMahon , Daniel J. Scheeres

Nutation triggered by external disturbances is an undesirable phenomenon for a spinning satellite. Passive decay in nutation angle must be achieved in such cases and benefits missions involving spin-stabilized satellites or mass-constrained…

动力系统 · 数学 2024-09-20 Adrian Luna , Banavara N. Shashikanth

We consider the system constituted by a hollow rigid body whose cavity contains a homogeneous rigid ball, and let the gap between the solids be entirely filled by a viscous incompressible fluid. We investigate the free rotations of the…

偏微分方程分析 · 数学 2020-11-30 Giusy Mazzone

We study the dynamical evolution of a satellite orbiting outside of a companion spherical galaxy. The satellite is subject to a back-reaction force resulting from the density fluctuations excited in the primary stellar system. We evaluate…

天体物理学 · 物理学 2009-10-30 M. Colpi

Attitude Dynamics of a rigid artificial satellite subject to gravity gradient and Lorentz torques in a circular orbit is considered. Lorentz torque is developed on the basis of the electrodynamic effects of the Lorentz force acting on the…

空间物理 · 物理学 2015-06-19 Yehia A. Abdel-Aziz , Muhammad Shoaib

The study of off-equatorial orbits in razor-thin disks is still in its beginnings. Contrary to what was presented in the literature in recent publications, the vertical stability criterion for equatorial circular orbits cannot be based on…

星系天体物理 · 物理学 2015-04-03 Ronaldo S. S. Vieira , Javier Ramos-Caro

Several planetary satellites apparently have subsurface seas that are of great interest for, among other reasons, their possible habitability. The geologically diverse Saturnian satellite Enceladus vigorously vents liquid water and vapor…

地球与行星天体物理 · 物理学 2015-09-28 P. C. Thomas , R. Tajeddine , M. S. Tiscareno , J. A. Burns , J. Joseph , T. J. Loredo , P. Helfenstein , C. Porco

We study the forced rotation of Titan seen as a rigid body at the equilibrium Cassini state, involving the spin-orbit synchronization. We used both the analytical and the numerical ways. We analytically determined the equilibrium positions…

天体物理学 · 物理学 2009-11-13 B. Noyelles , A. Lemaitre , A. Vienne

A tidal radius is a distance from a satellite orbiting in a host potential beyond which its material is stripped by the tidal force. We derive a revised expression for the tidal radius of a rotating satellite which properly takes into…

星系天体物理 · 物理学 2016-10-21 Grzegorz Gajda , Ewa L. Lokas

We show that the existence of prograde equatorial satellites is consistent with a collisional tilting scenario for Uranus. In fact, if the planet was surrounded by a proto-satellite disk at the time of the tilting and a massive ring of…

地球与行星天体物理 · 物理学 2015-03-20 Alessandro Morbidelli , Kleomenis Tsiganis , Konstantin Batygin , Aurelien Crida , Rodney Gomes
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