The effects of deformation inertia (kinetic energy) in the orbital and spin evolution of close-in bodies

Autor(es)

Correia, A. C. M. ^{[1, 2, 3]} ; Ragazzo, C. ^[4] ; Ruiz, L. S. ^[5]

Afiliação do(s) autor(es)

^[1] Univ Coimbra, Dept Phys, P-3004516 Coimbra - Portugal

^[2] Univ Aveiro, Dept Fis, CIDMA, Campus Santiago, P-3810193 Aveiro - Portugal

^[3] Observ Paris, IMCCE CNRS UMR8028, ASD, 77 Ave Denfert Rochereau, F-75014 Paris - France

^[4] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo, SP - Brazil

^[5] Univ Fed Itajuba, Inst Matemat & Comp, BR-37500903 Itajuba, MG - Brazil

• Tipo de documento: Artigo Científico
• Fonte: CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY; v. 130, n. 8 AUG 2018.
• Citações Web of Science: 1

Resumo

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 Bou, 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.). (AU)

• Processo FAPESP: 16/25053-8 - Dinâmica e geometria em baixas dimensões
• Beneficiário: André Salles de Carvalho
• Modalidade de apoio: Auxílio à Pesquisa - Temático