The effects of deformation inertia (kinetic energy) in the orbital and spin evolution of close-in bodies
| Autor: | Alexandre C. M. Correia, L. S. Ruiz, Clodoaldo Grotta Ragazzo |
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| Rok vydání: | 2018 |
| Předmět: |
010504 meteorology & atmospheric sciences
media_common.quotation_subject Context (language use) Tides Deformation (meteorology) Inertia 01 natural sciences Inviscid flow 0103 physical sciences 010303 astronomy & astrophysics MECÂNICA DOS FLUÍDOS Mathematical Physics 0105 earth and related environmental sciences media_common Deformation inertia Physics Applied Mathematics Dynamics (mechanics) Astronomy and Astrophysics Astron Planetary systems Computational Mathematics Classical mechanics Space and Planetary Science Modeling and Simulation Orbit (dynamics) Dissipative forces Astrophysics::Earth and Planetary Astrophysics Love number |
| Zdroj: | Repositório Científico de Acesso Aberto de Portugal Repositório Científico de Acesso Aberto de Portugal (RCAAP) instacron:RCAAP Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual) Universidade de São Paulo (USP) instacron:USP |
| ISSN: | 1572-9478 0923-2958 |
| DOI: | 10.1007/s10569-018-9847-3 |
| Popis: | The purpose of this work is to evaluate the effect of deformation inertia on tide dynamics, particularly within the context of the tide response equations proposed independently by Boué et al. (Celest Mech Dyn Astron 126:31–60, 2016) and Ragazzo and Ruiz (Celest Mech Dyn Astron 128(1):19–59, 2017). The singular limit as the inertia tends to zero is analyzed, and equations for the small inertia regime are proposed. The analysis of Love numbers shows that, independently of the rheology, deformation inertia can be neglected if the tide-forcing frequency is much smaller than the frequency of small oscillations of an ideal body made of a perfect (inviscid) fluid with the same inertial and gravitational properties of the original body. Finally, numerical integration of the full set of equations, which couples tide, spin and orbit, is used to evaluate the effect of inertia on the overall motion. The results are consistent with those obtained from the Love number analysis. The conclusion is that, from the point of view of orbital evolution of celestial bodies, deformation inertia can be safely neglected. (Exceptions may occur when a higher-order harmonic of the tide forcing has a high amplitude.) published |
| Databáze: | OpenAIRE |
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