Аннотация:An asymptotic solution is found for the turbulent dynamo equation to describe the evolution of the magnetic field of an astronomical object. The solution to the problem is based on a quasi-classical approximation from quantum mechanics. The cases of helical turbulence and large-scale velocity shear are treated independently. It is found that the asymptotic solution permits estimates of such parameters as the growth rate of the mean magnetic field, its configuration, and the threshold for generation of the magnetic field.