[3]2022astro-ph.EPPreprint
The current orbit of Methone (S/2004 S 1)
Nelson Callegari, Adrián Rodríguez & Demétrio Tadeu Ceccatto
What they foundMethone is locked in a 15:14 resonance with Mimas, and its orbit is aligned with Mimas's because of a forced resonant effect.
Why it mattersThis is a detailed description of where Methone is today and why.
What they studied
Analysis of short-term, resonant and long-term gravitational effects, plus orbit simulations.
[4]2009astro-ph.EPPreprint
Long-term dynamics of Methone, Anthe and Pallene
Nelson Callegari & Tadashi Yokoyama
What they foundOver the long term, Pallene's orbit is governed by a slow resonance with Mimas, while Methone's and Anthe's orbits are probably chaotic.
Why it mattersIt shows how much the big moon Mimas controls these tiny moons.
What they studied
Long numerical orbit integrations including Saturn's shape and six nearby moons.
[5]2021astro-ph.EPPreprint
Dynamical stability in the vicinity of Saturnian small moons. The cases of Aegaeon, Methone, Anthe and Pallene
Adrián Rodríguez & Nelson Callegari
What they foundParticles near these small moons stay stable for at least 10,000 years if the moons are massless, but once the moons' own gravity is included many are knocked out or hit the moons within a few hundred years.
Why it mattersThe tiny moons actively sweep their surroundings.
What they studied
Numerical tracking of thousands of test particles near Mimas resonances.
[6]2017astro-ph.EPPreprint
Long-term Evolution and Stability of Saturnian Small Satellites: Aegaeon, Methone, Anthe, and Pallene
Marco A. Muñoz-Gutiérrez & Silvia Giuliatti Winter
What they foundOver 100,000-year simulations, the small moons Aegaeon, Methone, Anthe and Pallene were mapped for stability near Mimas.
Why it mattersStability maps hint at how many small bodies may once have orbited near Mimas.
What they studied
N-body simulations with an oblate Saturn and the five largest nearby moons, analysed with frequency maps.