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In coupled ring-satellite systems, satellites exchange angular momentum withboth the primary through tides and with the ring through Lindblad torques, andmay exchange material with the ring through accretion and tidal disruption.Here we show that these coupled ring-satellite systems fall into three distinctdynamical regimes, which we refer to as `Boomerang,' `Slingshot,' and`Torque-Dependent.' These regimes are determined by the relative locations ofthe Fluid Roche Limit, the synchronous orbit, and the location of the maximumorbit that Lindblad torques can perturb a satellite. Satellites that accretefrom rings in the Boomerang regime remain interior to the synchronous orbit,and may be driven back toward the primary by tides. Satellites that accretefrom rings in the Slingshot regime form exterior to the synchronous orbit, andare always driven away from the primary. Satellites that accrete from rings inthe Torque-Dependent regime may exhibit either Boomerang or Slingshot behavior,depending on ring and satellite masses. We consider both known and hypothesizedring/satellite systems in the solar system, and identify which of these threeregimes they fall into. We determine that Uranus exists within theTorque-Dependent regime. Using the RING-MOONS code, which models the dynamicalevolution of coupled ring-satellite systems, we show that the Uranian satelliteMiranda may have accreted from a massive ancient Roche-interior ring andfollowed a Slingshot-like dynamical path to its present orbit beyond thesynchronous orbit, while satellites that accreted after Miranda followedBoomerang-like evolution paths and remained interior to the synchronous orbit.

Three Dynamical Evolution Regimes for Coupled Ring-Satellite Systems and Implications for the Formation of the Uranian Satellite Miranda