On the physics of resonant disk-satellite interaction

Physics

Scientific paper

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Accretion Disks, Momentum Transfer, Natural Satellites, Planetary Rings, Resonance, Rotating Disks, Dissipation, Friction, Gravitational Effects, Pressure Effects, Torque, Viscosity, Planets, Satellites, Resonance, Physics, Angular Momentum, Perturbations, Friction, Gravity Effects, Pressure, Viscosity, Parameters, Accretion, Waves, Rings, Torque, Rings, Calculations, Formation

Scientific paper

A model is developed for the exchange of angular momentum (torque) exerted by a satellite on a disk at a Lindblad resonance. The situation arises in galaxies affected by a central bar, in accretion disks in a close binary system, in the disturbance of the asteroid belt by Jupiter, etc. The disk is treated as a continuous network of oscillators, one being in resonance with the satellite. Momentum and continuity equations are defined for the torque and account is taken of the effects of friction and unsteadiness on the torque, and of pressure, viscosity and self-gravitation on waves in disks. Planetary and satellite masses are shown to dominate the magnitude of the torque, while physical processes in the disk affect the torque density at an isolated resonance.

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