INVARIANCE-PRINCIPLE AND BILINEAR RELATIONS OF THE RADIATIVE-TRANSFERTHEORY .1.

This is the first of two papers devoted to physical interpretation of Rybicki's quadratic and bilinear relations. The fundamental equations obtained on the basis of Ambartsumian's invariance principle and regar ded as its extension to all depths in the atmosphere, imply that the Q and R relations have with more general structures than those known up to the present. These equations allow a simple probabilistic interpre tation. Some bilinear relations are derived to connect the transfer pr oblems of different sorts. For the sources distributed in the semi-inf inite atmosphere by exponential law, the separate Q and R relations ar e obtained. It is shown that the two-point quadratic Q relation may be derived directly on the base of physical considerations used in the i nvariance technique.