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Multistability and complexity in the planar spin-orbit problem

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Author(s):
de Oliveira, Vitor M.
Total Authors: 1
Document type: Journal article
Source: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION; v. 150, p. 13-pg., 2025-11-01.
Abstract

The tidal evolution of a deformable body may lead to a state where its rotational and orbital motion are in resonance. In this work, we numerically investigate and visually illustrate some dynamical properties of the dissipative spin-orbit problem, namely, the co-existence of multiple periodic and quasi-periodic attractors, and the complexity of the corresponding basins of attraction. We apply our methodology first to Hyperion, and later to the Moon and Mercury. Our results provide a visual aid to understand the complicated dynamics of the system, and show that the different dynamical scenarios in this problem can be well characterized by the Gibbs entropy. (AU)

FAPESP's process: 22/12785-1 - Rotational dynamics of close-in bodies under tidal evolution
Grantee:Vitor Martins de Oliveira
Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
FAPESP's process: 21/11306-0 - Spin-orbit coupling: the effect of the rheology
Grantee:Vitor Martins de Oliveira
Support Opportunities: Scholarships in Brazil - Post-Doctoral