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**Session 15 - Structure and Collapse of Molecular Clouds: Theory.**

*Display session, Monday, January 13*

*Metropolitan Ballroom, *

## [15.05] A Semi-Analytic Solution for Supercritical Core Collapse

*S. Basu (CITA)*
Numerical simulations of the contraction of
supercritical cores (e.g., cores with a mass-to-flux ratio
exceeding a critical value) show that the inner solution is
characterized by a sequence of self-similar profiles.
We use this result to develop analytic expressions for the density,
angular velocity, and magnetic field.
All forces (e.g., gravitational,
magnetic, thermal, and centrifugal) in the inner region can be calculated
analytically in the thin-disk geometry of the problem.
The role of each force during the contraction is analyzed, and
we obtain a semi-analytic collapse solution for the inner
region. The solution can be followed up to the formation of a
central singularity (a protostar). We find the limiting velocities and
acceleration at this moment. The relation of this solution to other
similarity solutions is discussed, as well as its relation to
observations of Class 0 protostars.

The author(s) of this abstract have provided an email address for comments about the abstract: basu@cita.utoronto.ca

**Program
listing for Monday**