The current orbit of Atlas (SXV)
Demetrio Tadeu Ceccatto, Nelson Callegari Jr, Adri\'an Rodr\'iguez

TL;DR
This study investigates the chaotic nature of Atlas's current orbit, revealing it is in a chaotic boundary region near the 54:53 mean-motion resonance with Prometheus, with detailed analysis of resonance dynamics and stability challenges.
Contribution
The paper provides a detailed mapping of the Atlas-Prometheus 54:53 resonance, highlighting the chaotic regions and the difficulty of identifying long-term periodic motions.
Findings
Atlas's orbit is in a chaotic boundary region near the 54:53 resonance.
Resonance domains include chaotic layers and a narrow center.
Long-term periodic motion within the resonance is difficult to identify.
Abstract
With the success of the Cassini-Huygens mission, the dynamic complexity surrounding natural satellites of Saturn began to be elucidated. New ephemeris could be calculated with a higher level of precision, which made it possible to study in detail the resonant phenomena and, in particular, the 54:53 near mean-motion resonance between Prometheus and Atlas. For this task, we have mapped in details the domains of the resonance with dense sets of initial conditions and distinct ranges of parameters. Our initial goal was to identify possible regions in the phase space of Atlas for which some critical angles, associated with the 54:53 mean motion have a stable libration. Our investigations revealed that there is no possibility for the current Atlas orbital configuration to have any regular behavior since it is in a chaotic region located at the boundary of the 54:53 mean-motion resonance phase…
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Taxonomy
TopicsAstro and Planetary Science
