Using four-body problems to explore Aegaeon's orbital evolution

Saturn's moon Mimas holds Aegaeon and an arc of debris in a 7:6 corotation resonance. Compared with other similarly confined moon-arc systems, Aegaeon is closer to exact resonance and Aegaeon is a fraction of the total mass in its arc. We investigate whether these two phenomena are linked and whether interactions with other bodies drove Aegaeon's orbital evolution towards the center of the corotation site. We analyze numerical simulations with multiple bodies initially in the same corotation site as Aegaeon. During interactions with other bodies, we observe changes in values that are constants in the relevant three-body problem that may provide evidence for this model of orbital evolution in a corotation resonance.