This paper describes briefly a mathematical model that relates the parameters of celestial bodies motion in the spheres of activity of the Sun and the Earth with mass-energy characteristics of these celestial bodies and their explosion modes during d
estruction in the Earth atmosphere, that in turn are linked with phenomena observed on the underlying surface. This model was used to calculate the characteristics of the objects which are causes of Chelyabinsk and Tunguska incidents. Thus, the basic data characterizing these two outstanding phenomena were obtained with using a regular physical-mathematical procedure without any speculative hypotheses and/or assumptions.
