Rotational dynamics of close-in bodies under tidal evolution

• Grant number: 22/12785-1
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: May 01, 2023
• End date: April 30, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Clodoaldo Grotta Ragazzo
• Grantee: Vitor Martins de Oliveira
• Supervisor: Alexandre Carlos Morgado Correia
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: Universidade de Coimbra (UC), Portugal
• Associated to the scholarship: 21/11306-0 - Spin-orbit coupling: the effect of the rheology, BP.PD

Abstract

The rotational dynamics of a close-in body is highly affected by the dissipative torque caused by tidal forces, which is a consequence from the gradient formed by a gravitational field exerted on said body. Here, we consider the three-dimensional problem of an extended body under the gravitational potential of one and two point mass primaries, where the gravitating body is assumed to have a generalized Maxwell rheology and permanent deformation. By numerically integrating the full equations of motion, we intend to investigate the permanent and temporary capture into spin-orbit resonances, as well as the dynamics of the gravitating body's spin axis. (AU)