Asymptotic normalization constants in nuclear astrophysics

The indirect method of determining astrophysical nuclear reaction rates is discussed. The overall normalization of the astrophysical S-factor for such reactions may be determined from one quantity, the asymptotic normalizatio n coefficient of the overlap function of the bound state wave functions for the initial and final channels. These coefficients can be found also from peripheral transfer reactions whose amplitudes are determined by the same o verlap function as the amplitudes of the corresponding astrophysical radiat ive capture processes. The experimental test of this approach and the last results of S-17 measurements are presented.