Star formation in protogalactic clouds

The physical processes determining the rate of star formation in protogalactic clouds and the resulting effects on the structure of the galaxies are examined with reference to analytical results and numerical simulations. For spheroidal systems, it is found that rapid star formation cannot be prevented once the density exceeds a typical value. The corresponding length scale is comparable to the length scales of spheroidal systems. The gas is converted into stars at a time scale of 2 Gyr or less, during which the total luminosity of the protogalaxy in ionizing photons is 10 exp 43-44 ergs/s, and the gas is enriched to solar abundance with a steep gradient. A simplistic analysis of the resulting stellar distribution finds that de Vaucouleurs profiles may naturally result. The Faber-Jackson relation is also found to follow naturally. The Fischer-Tully relation follows by an analysis similar to that used to derive the Faber-Jackson relation, provided that the peak rotational velocity is determined by the bulge mass.