Ariel and Umbriel in the 5:3 resonance

• Grant number: 17/00364-3
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: April 01, 2017
• End date: December 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Astronomy - Positional Astronomy and Celestial Mechanics
• Principal Investigator: Tadashi Yokoyama
• Grantee: Gabriel de Oliveira Gomes
• Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil

Abstract

The current surface of Ariel, clearly reveals that it might have suffered important effects of tides, caused by passage through orbital resonances. If Miranda and Umbriel necessarily crossed 3:1 resonance (as it is believed), then certainly Ariel and Umbriel crossed 5:3 resonance. In this work, this resonance will be considered, taking the spatial case including all regular satellites of Uranus. The simulations will be done through Radau integrator. The tidal equations are inserted using Verheylewegen et (2013) model. (AU)