Shepherding in a Warm Disk of Low Optical Depth: A Perturbation Analysis

Computer Science – Numerical Analysis

Scientific paper

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Angular Momentum Exchange, Disk-Embryo Interactions, Nebular Disk, Planetesimal Disk, Planets: Formation

Scientific paper

We argue that in a cold planetesimal disk in the protoplanetary nebula the gap formation at the end of incipient runaway growth may not be realized. In a particulate disk of low optical depth such as the protoplanetary disk, disk-protoplanet interactions entail not only angular momentum exchange but also disk heating since the Jacobi constant is conserved between successive encounters. We have performed a perturbation analysis and confirmed our previous numerical analysis that as the disk heats up, torque strength is sustained even though guiding centers of planetesimals are pushed away since they lose angular momentum. However, torque can be maintained only up to a certain limit and further heating will begin to weaken torque. Thus, if the embryo is also subject to nebular tidal torque, it can shift toward the disk edge, leading to continuous accretion of runaway embryos.

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