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Extension of the Newtonian creep tide theory to the spatial case

Grant number: 19/11276-3
Support Opportunities:Scholarships abroad - Research Internship - Post-doctor
Effective date (Start): September 01, 2019
Effective date (End): August 31, 2020
Field of knowledge:Physical Sciences and Mathematics - Astronomy - Positional Astronomy and Celestial Mechanics
Principal Investigator:Sylvio Ferraz de Mello
Grantee:Hugo Alberto Folonier
Supervisor: Gwenael Boue
Host Institution: Instituto de Astronomia, Geofísica e Ciências Atmosféricas (IAG). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Research place: Observatoire de Paris, France  
Associated to the scholarship:16/20189-9 - Dynamic evolution due to tide in differentiated exoplanets and satellites, BP.PD


This project has as purpose to extend the creep tide theory to the spatial problem, that is, when the axis of rotation of the body deformed by the action of the tide is not perpendicular to the orbital plane. The Newtonian Creep tide theory (or Creep tide theory) developed at the IAG-USP, is a new reophysic tide theory that takes into account the nature (viscosity) of objects (Ferraz-Mello, 2013; 2015). Recently, this theory was reformulated by Folonier et al.(2018), simplifying the mathematical formalism of the original approach, and extended to the case of differentiated bodies (Folonier and Ferraz-Mello, in preparation). The results obtained for Encélado and Mimas has shown that the new approach to creep has resulted in a very effective way to reproduce the available high-quality observational data obtained by the CASSINI mission. However, due to the current state of the theory, its application is reduced only to the study of problems where the axis of rotation results perpendicular to the plane of the orbit. In this work, we intend to introduce improvements in the development of the theory and extend it to the many real star-planet and satellite-planet systems whose dynamic evolution can be directly affected by the inclination of the rotational axes of the bodies in relation to the relative orbital motion plane. (AU)

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
FOLONIER, HUGO A.; BOUE, GWENAEL; FERRAZ-MELLO, SYLVIO. Ellipsoidal equilibrium figure and Cassini states of rotating planets and satellites deformed by a tidal potential in the spatial case. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, v. 134, n. 1, . (16/13750-6, 19/11276-3, 16/20189-9)

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