Stability maps for the 5/3 mean motion resonance between Ariel and Umbriel with inclination

Autor:	Gomes, Sérgio R. A., Correia, Alexandre C. M.
Rok vydání:	2023
Předmět:	Astrophysics - Earth and Planetary Astrophysics Nonlinear Sciences - Chaotic Dynamics
Druh dokumentu:	Working Paper
Popis:	The evolution of the five largest satellites of Uranus during the crossing of the 5/3 mean motion resonance between Ariel and Umbriel is strongly affected by chaotic motion. Studies with numerical integrations of the equations of motion and analysis of Poincar\'e surface sections provided helpful insights to the role of chaos on the system. However, they lack of a quantification of this chaos in the phase-space. Here, we construct stability maps using the frequency analysis method. We determine that for low energies (small eccentricity and/or inclinations), the phase-space is mainly stable. As the energy increases, the chaotic regions replace the stable motion, until only small, localized libration regions remain stable. Comment: arXiv admin note: text overlap with arXiv:2305.08794
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.04786 Zobrazit plný text záznamu View this record from Arxiv