1980 October 1 | PETER GOLDREICH AND SCOTT TREMAINE
The paper by Goldreich and Tremaine calculates the rate at which angular momentum and energy are transferred between a disk and a satellite orbiting the same central mass. The satellite's torque on the disk is significant only at Lindblad and corotation resonances, with the former increasing the satellite's orbit eccentricity and the latter dampening it. In a Keplerian disk, corotation resonances slightly dominate over Lindblad resonances, leading to eccentricity damping. However, if the strongest corotation resonances are saturated due to particle trapping, the eccentricity grows. The authors apply their results to the interaction between Jupiter and the protoplanetary disk, showing that angular momentum transfer is rapid enough to significantly alter both the disk's structure and Jupiter's orbit within a few thousand years. The paper also discusses the torque cutoff at Lindblad resonances and provides an alternate derivation of the results using a single close encounter between the satellite and each ring particle.The paper by Goldreich and Tremaine calculates the rate at which angular momentum and energy are transferred between a disk and a satellite orbiting the same central mass. The satellite's torque on the disk is significant only at Lindblad and corotation resonances, with the former increasing the satellite's orbit eccentricity and the latter dampening it. In a Keplerian disk, corotation resonances slightly dominate over Lindblad resonances, leading to eccentricity damping. However, if the strongest corotation resonances are saturated due to particle trapping, the eccentricity grows. The authors apply their results to the interaction between Jupiter and the protoplanetary disk, showing that angular momentum transfer is rapid enough to significantly alter both the disk's structure and Jupiter's orbit within a few thousand years. The paper also discusses the torque cutoff at Lindblad resonances and provides an alternate derivation of the results using a single close encounter between the satellite and each ring particle.