The increase of the precision of modern measuring equipment allows to solve the most actual task of optical remote sensing (ORS) - measurement of gas components of the atmosphere that con-tribute to the greenhouse effect. Existing algorithms for processing satellite data do not meet the capabilities of modern devices ORS - - hyperspectral systems - in terms of accuracy and speed of the calculation, and therefore they need significant modernization. Feature of the proposed solu-tions is using a method that is well-known in the nuclear physics, but doesn’t apply in the radiative transfer problems – method of the synthetic iterations. In this case we have a significant gain in speed due to the possibility of using a simple method of the radiative transfer equation solving in-stead of complex resource-intensive methods, and the accuracy of the angular distribution is not lost due to the use of iteration.