This paper describes application of mathematical model that establishes relationship between parameters of celestial bodies motion in the spheres of activity of the Sun and the Earth with mass-energy characteristics of these objects and their explosion modes during destruction in the Earth atmosphere, that in turn are linked with phenomena observed on underlying surface. This model was used to calculate the characteristics of objects that caused the Chelyabinsk and Tunguska explosions with using of its trajectory parameters described in recent scientific publications (late 2013 - early 2014). It turned out that the size of Chelyabinsk meteoroid was equal to 180 - 185 meters, and its mass was close to 1.8 megatons. Energy of its explosion was equal to 57 megatons of TNT, size of Tunguska meteoroid was equal to 105 m, mass - 0.35 megatons, while energy of explosion was about of 14.5 megatons of TNT. Due to the common origin of these two celestial bodies their average density was equal - about of 570 kg/m^3.