We have constructed an analytic model of the solar nebula based on a t
ime-dependent accretion disk theory. Until now, this problem has been
solved only numerically. Our model offers explicit formulas for a spat
ial structure and temporal evolution of the nebula. The model is chara
cterized by only three major parameters: initial mass of the nebula, i
nitial angular momentum of the nebula, and viscosity parameter alpha.
The values of these parameters are relatively well constrained. Models
of the solar nebula obtained using our formulas are in good agreement
with previously published numerical results. An analytic model has th
e advantage of embodying all the different scenarios, thus providing m
uch deeper insights into the dynamical evolution of the nebula. We hav
e found that the evolution of the nebula passes through different epoc
hs, each characterized by a different rate of evolution. The number of
different epochs, and thus the character of the evolutionary history
of the nebula, depends on a particular set of parameters. We have show
n that very different evolutionary scenarios arise from even modest ch
anges in the values of the parameters. The analytic model can help to
link disk theory to observations, as well as to provide a valuable too
l for cosmogonic studies. (C) 1998 Academic Press.