Vertical Oscillations in Protostellar Disks. I. Formulation of the Problem

Details Vertical Oscillations in Protostellar Disks. I. Formulation of the Problem Vertical Oscillations in Protostellar Disks. I. Formulation of the Problem

Mar 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998apj...496..869s&link_type=abstract

Astrophysical Journal v.496, p.869

Astronomy and Astrophysics

Astronomy

Accretion, Accretion Disks, Stars: Formation, Stars: Oscillations

Scientific paper

Protostellar disks that are relatively massive evolve under the influence of spiral-type density perturbations. Radiation from induced vertical oscillations could slow the rapid growth of these modes while allowing continued accretion onto the central star. Here I provide a general mathematical framework for studying disk evolution in this context. A nondimensional scheme is adopted that separates out the relatively short, dynamical timescale associated with vertical oscillations and orbital motion from the much longer, evolutionary time required for alteration of the underlying disk structure. I derive both the axisymmetric and nonaxisymmetric modal equations governing the evolution. I also present some general results that will later prove useful, including a perturbative expansion of the disk potential and a careful treatment of the rotation curve near the inner and outer disk edges.

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