Dynamics of an isolated, viscoelastic, self-gravitating body

DOI10.1007/S10569-015-9620-9zbMath1322.70011OpenAlexW2221952176WikidataQ121450376 ScholiaQ121450376MaRDI QIDQ748263

C. Ragazzo, Lucas S. Ruiz

Publication date: 20 October 2015

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-015-9620-9

zbMATH Keywords

rotationdissipative forcesextended bodypseudo-rigid body

Mathematics Subject Classification ID

Celestial mechanics (70F15) Galactic and stellar dynamics (85A05) Lagrange's equations (70H03)

Related Items (7)

Viscoelastic tides: models for use in Celestial Mechanics ⋮ Librations of a body composed of a deformable mantle and a fluid core ⋮ The theory of figures of Clairaut with focus on the gravitational modulus: inequalities and an improvement in the Darwin-Radau equation ⋮ Hyperbolic dynamics of discrete dynamical systems on pseudo-Riemannian manifolds ⋮ Cassini states of a rigid body with a liquid core ⋮ The effects of deformation inertia (kinetic energy) in the orbital and spin evolution of close-in bodies ⋮ Ellipsoidal equilibrium figure and Cassini states of rotating planets and satellites deformed by a tidal potential in the spatial case

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Hamiltonian dynamics of self-gravitating liquid and gas ellipsoids
• Invariant manifolds in mechanics. I. The general construction of coarse theories from fine theories
• Invariant manifolds in mechanics. II. Zero-dimensional elastic bodies with directors
• Rotational elastic dynamics
• Applications of centre manifold theory
• Constrained relative motions in rotational mechanics
• The two-body problem of a pseudo-rigid body and a rigid sphere
• Figures of equilibrium of an inhomogeneous self-gravitating fluid
• Asymptotic stability of synchronous orbits for a gravitating viscoelastic sphere
• Precession of a freely rotating rigid body. Inelastic relaxation in the vicinity of poles
• A Tale of Ellipsoids in Potential Theory
• On Smooth Decompositions of Matrices
• On steady motions of isotropic, elastic Cosserat points
• Temporal variations in the Sun's rotational kinetic energy
• Stability properties of the Riemann ellipsoids

This page was built for publication: Dynamics of an isolated, viscoelastic, self-gravitating body