In this article, we discuss the theoretical and practical preconditions of identification of the Universe rotation axis using the digital images of galaxies and the relative velocities of their movements upon using the modelling of the parameter z of the Doppler effect formula and a polar coordinate system. The value of the Doppler effect formula parameter z expresses the relative velocity of galaxies’ movements according to information obtained from their digital images compared with the speed of light c . In calculations, we use a vector of transformed digital images of the red colour range from the solar spectrum and galaxy cluster maps. Every column of the array of the digital image pixels is assumed as a separate pixel intensities vector. To detect the values of the parameter z , vectors were transformed using intensities of pixels of the digital images of galaxies cluster and the white solar spectrum. The values of the parameter z enabled the calculation of the relative velocity of movement of galaxies clusters’ digital images with regard to each other and the relative velocity of images’ movements with regard to the solar system. The relative velocity of galaxy movement calculated in such way is a component of the real relative galaxy movement velocity (possibly the velocity of tangential motion in respect of the rotation curve). The values of the scalar argument β , i.e. the values of angles between vectors of the respective directions (the vectors of galaxies movement with respect to the Sun and the real vectors of galaxies movement) are calculated as well. The values of the radii of galaxies rotation curves and the coordinates of their centres have been established upon applying differential geometry formulas. The calculation results were obtained using the created software upon applying statements of MATLAB software.