The prognostic model for identification of the universe rotation axis upon applying the system of coordinates of a chosen galaxy

Abstract

This paper describes the theoretical and practical preconditions for identification of the Universe rotation axis using the digital images from ten galaxies and the relative velocities of their movement upon applying a simulation of the parameter <mml:math display="inline"> <mml:mi>z</mml:mi> </mml:math> from the Doppler effect formula and a system of polar coordinates. The value of the Doppler parameter <mml:math display="inline"> <mml:mi>z</mml:mi> </mml:math> shows an approximate relative velocity of the reciprocal movement of two digital images (objects) in respect of the speed of light in vacuum c. The values of the Doppler parameter <mml:math display="inline"> <mml:mi>z</mml:mi> </mml:math> were calculated upon using vectors transformed by pixel intensities of digital images of galaxies cluster and the white solar spectrum. The average values of the Doppler parameter <mml:math display="inline"> <mml:mi>z</mml:mi> </mml:math> were calculated according to the created formula upon applying the expressions of cross-covariance functions of the algebraic sum of the relevant transformed vectors and a single vector. The values of the parameter <mml:math display="inline"> <mml:mi>z</mml:mi> </mml:math> from the Doppler formula enabled calculating the relative velocity of movement of digital images of the galaxies cluster in respect of each other and the relative velocity of movement of the images in respect of the Solar system. The relative velocity of galaxy movement calculated in such a way is a component of the real relative galaxy movement velocity (the velocity of tangential motion in respect of the rotation curve). In addition, the values of the scalar argument <mml:math display="inline"> <mml:mi>β</mml:mi> </mml:math> (the values of the angles between vectors of respective directions of vectors—directions of vectors of galaxies movement in respect of the Solar system and direction of the real galaxies movement vectors) are calculated. In the systems of polar and rectangular coordinates of each galaxy, the values of radii R of galaxies rotation curves (at points of the tangent) and coordinates of their centers were established upon applying the relevant formulas of differential geometry. The calculation data were collected using the software upon applying matlab program package operators.