Viscoelastic tides: models for use in Celestial Mechanics
| Autor: | L. S. Ruiz, Clodoaldo Grotta Ragazzo |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
010504 meteorology & atmospheric sciences
01 natural sciences Viscoelasticity Physics::Geophysics 0103 physical sciences Tidal force 010303 astronomy & astrophysics Mathematical Physics 0105 earth and related environmental sciences Physics Deformation (mechanics) business.industry Applied Mathematics Astronomy and Astrophysics Function (mathematics) Mechanics Dissipation Celestial mechanics Computational Mathematics Classical mechanics Space and Planetary Science Modeling and Simulation Orbit (dynamics) Astrophysics::Earth and Planetary Astrophysics business Tidal power |
| Zdroj: | Celestial Mechanics and Dynamical Astronomy. 128:19-59 |
| ISSN: | 1572-9478 0923-2958 |
| DOI: | 10.1007/s10569-016-9741-9 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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