Gravitational instabilities in a proto-planetary disk

Statistics – Computation

Scientific paper

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Computational Astrophysics, Gravitational Effects, Planetary Evolution, Pre-Main Sequence Stars, Protoplanets, Astronomical Models, Cosmic Dust, Entropy, Interstellar Gas, Perturbation Theory

Scientific paper

Results are presented from a study of gravitational instabilities in a thin Keplerian protoplanetary disk with a uniform entropy. The disk model is a two-fluid system, composed of dust ands gas, coupled by gravity and friction. The growth rates and the eigenfunctions are computed using the nonaxisymmetric linear perturbation method. It is found that, within the usual values of input parameters (e.g., mass of disk) the disk is unstable to nonaxisymmetric perturbations for some range of m in addition to m = 1. The growth rate has a maximum in m and the number of radial nodes. The results show that the disk mass is one of the important factors in determining a disk stability; the growth rate increases as the disk mass increases, with other parameters fixed. At very low maasses, the disk becomes stable for all values of m except for m = 1. In the present model, a disk with mass equal to 0.05 solar masses is stable for all values of m except m = 1.

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