Creep tide theory for systems with inclined rotation axis

• Grant number: 17/10072-0
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Effective date (Start): September 01, 2017
• Status: Discontinued
• Field of knowledge: Physical Sciences and Mathematics - Astronomy - Positional Astronomy and Celestial Mechanics
• Principal Investigator: Sylvio Ferraz de Mello
• Grantee: Eduardo Andrade Inês
• Host Institution: Instituto de Astronomia, Geofísica e Ciências Atmosféricas (IAG). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

The Creep Tide theory, introduced by Ferraz-Mello (2013), is a new rheophysical approach for the tidal problem. This theory proposes to study the tides directly from the deformation laws of the bodies, taking into account the distinct properties of their internal structure by means of the Newtonian creep. The theory is still under construction and has great potential for application to many known systems discovered by the missions CoRoT and Kepler, for example, as well as the future mission PLATO. The extension of the theory will bring essential contributions for the determination of stellar characteristics of these systems as well as the study of the orbital dynamics and evolution of exoplanets.The main goal of the current project is to follow up the development of the creep theory for the study of tides, focusing in a case still not approached: the extension of the theory to systems in which the rotation axis is inclined with respect to the orbital plane of the disturbing body. For this, we will perform an analytical development of the disturbing function and of the deformation equations of the body to, then, solve the creep equation. This work will be furthermore complemented with the application of semi-analytical methods that will allow us to apply more complexes physical models that will not depend on the existence of analytical solutions and will be applicable to a wide domain of orbital parameters.

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, H. A.; FERRAZ-MELLO, S.; ANDRADE-INES, E.. Tidal synchronization of close-in satellites and exoplanets. III. Tidal dissipation revisited and application to Enceladus. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, v. 130, n. 12, DEC 2018. (16/20189-9, 16/13750-6, 14/13407-4, 17/10072-0)

FERRAZ-MELLO, SYLVIO; BAU, G; CELLETTI, A; GALES, CB; GRONCHI, GF. Planetary Tides: Theories. SATELLITE DYNAMICS AND SPACE MISSIONS, v. 34, p. 50-pg., 2019-01-01. (08/57866-1, 14/13407-4, 16/13750-6, 17/10072-0)