Journal ArticleDOI
Viscoelastic tides: models for use in Celestial Mechanics
TLDR
In this paper, the authors present equations for the motion of linear viscoelastic bodies interacting under gravity, which are fully three dimensional and allow for the integration of the spin, the orbit, and the deformation of each body.Abstract:
This paper contains equations for the motion of linear viscoelastic bodies interacting under gravity. The equations are fully three dimensional and allow for the integration of the spin, the orbit, and the deformation of each body. The goal is to present good models for the tidal forces that take into account the possibly different rheology of each body. The equations are obtained within a finite dimension Lagrangian framework with dissipation function. The main contribution is a procedure to associate to each spring–dashpot model, which defines the rheology of a body, a potential and a dissipation function for the body deformation variables. The theory is applied to the Earth (solid part plus oceans) and a comparison between model and observation of the following quantities is made: norm of the Love numbers, rate of tidal energy dissipation, Chandler period, and Earth–Moon distance increase.read more
Citations
More filters
Journal ArticleDOI
Tidal synchronization of close-in satellites and exoplanets. III. Tidal dissipation revisited and application to Enceladus
TL;DR: Ferraz-Mello et al. as discussed by the authors showed that the effect of the tides on the amount of energy dissipated in the body and the average perturbation of the orbital elements depends on the libration amplitude and is generally neglected in the study of planetary satellites.
Journal ArticleDOI
Andrade rheology in time-domain. Application to Enceladus' dissipation of energy due to forced libration
Yeva Gevorgyan,Yeva Gevorgyan,G. Boué,Clodoaldo Grotta Ragazzo,L. S. Ruiz,Alexandre C. M. Correia +5 more
TL;DR: The main purpose of this work is to present a time-domain implementation of the Andrade rheology, instead of the traditional expansion in terms of a Fourier series of the tidal potential, which can be used in any fully three dimensional numerical simulation of the dynamics of a system of many deformable bodies.
Journal ArticleDOI
Tidal synchronization of close-in satellites and exoplanets. III. Tidal dissipation revisited and application to Enceladus
TL;DR: Ferraz-Mello et al. as discussed by the authors showed that the effect of the tides on the amount of energy dissipated in the body and the average perturbation of the orbital elements of Enceladus is dependent on the libration amplitude and is generally neglected in the study of planetary satellites.
Journal ArticleDOI
The effects of deformation inertia (kinetic energy) in the orbital and spin evolution of close-in bodies
Alexandre C. M. Correia,Alexandre C. M. Correia,Alexandre C. M. Correia,Clodoaldo Grotta Ragazzo,L. S. Ruiz +4 more
TL;DR: In this paper, the effect of deformation inertia on tide dynamics, particularly within the context of the tide response equations proposed independently by Boue et al. and Ragazzo and Ruiz, is analyzed.
Journal ArticleDOI
Numerical modelling of tertiary tides
Yan Gao,Alexandre C. M. Correia,Alexandre C. M. Correia,Alexandre C. M. Correia,Peter P. Eggleton,Zhanwen Han +5 more
TL;DR: In this paper, the authors developed a fully numerical simulation of these "tertiary tides" by modifying established tidal models, and concluded that tertiary tides are a significant factor in the evolution of close hierarchical triples.
References
More filters
Book
Applications of Centre Manifold Theory
TL;DR: In this paper, the authors present an approach for solving the panel flutter problem using a Second Order Equation (SOPE) and a Semigroup Theory. But their approach is limited to the case when the case is 1 < 0 and the case where 0 < 0.
Journal ArticleDOI
Lunar Laser Ranging: A Continuing Legacy of the Apollo Program
J. O. Dickey,Peter L. Bender,James E. Faller,X. X. Newhall,Randall L. Ricklefs,J. G. Ries,Peter J. Shelus,Ch. Veillet,Arthur L. Whipple,J. R. Wiant,James G. Williams,C. F. Yoder +11 more
TL;DR: The first retroreflector array was placed on the moon by Apollo 11, enabling highly accurate measurements of the Earthmoon separation by means of laser ranging as discussed by the authors, which has been used for a broad range of investigations, including astronomy, lunar science, gravitational physics, geodesy, and geodynamics.
Book
The Earth's Variable Rotation: Geophysical Causes and Consequences
TL;DR: In this article, a perspective of the earth and its physical properties is presented, along with the astronomical evidence of the Earth's physical properties and its evolution, including the periodic variations of seasons and hurricanes.
Journal ArticleDOI
Body tides on an elliptical, rotating, elastic and oceanless earth
TL;DR: In this article, the effects of the Earth's rotation and elliptical stratification on the body tide for a number of modern elastic structural models were investigated and an improved estimate for the fluid core resonance in the diurnal tidal band was obtained.