Self-consistent eccentricity–disk coupling

Develop a self-consistent model of the disk response to satellite eccentricity in the circumplanetary-disk migration calculations, including its implications for satellite survival and stalling.

Background

The simulations evolve satellite eccentricities under mutual gravity and disk forces, but the excitation, propagation, deposition, and damping prescriptions retain a circular-wave approximation. This limitation is particularly important for the two-Callisto calculation, in which the outer satellite exceeds the threshold e=h during the stalled phase and later undergoes a close encounter.

The paper therefore does not establish long-term survival or the validity of the disk torque model once eccentricities become appreciable. A self-consistent treatment of how an eccentric satellite modifies the disk and how that modified disk feeds back on the orbit is explicitly deferred.