Numerical Calculations of the Dynamics of a Collapsing Proto-Star*

Numerical calculations of the dynamics of a spherically symmetric collapsing proto-star of one solar mass have been made for various initial conditions. Calculations have also been made for masses of 2 M⊙ and 5 M⊙ . In all cases the collapse is found to be extremely non-homologous and is such that a very small part of the cloud's mass at the centre reaches stellar densities and stops collapsing before most of the cloud has had time to collapse very far. The stellar core thus formed subsequently grows in mass as material falls into it, finally becoming an ordinary star when all of the proto-stellar material has been accreted. During most of this time the stellar core is completely obscured by the dust in the infalling cloud, the absorbed radiation reappearing in the infra-red as thermal emission from the dust grains. The resulting star is almost a conventional Hayashi pre-main sequence model, but it appears rather low on the Hayashi track. For masses much greater than about 2 M⊙ the convective Hayashi phase does not exist at all. It appears that certain properties of T Tauri stars may find explanation in the results of the present calculations.