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It is known that the Euclidean metric on point set of the complex plane is not the correct proximity measure of two polarization states, which are corresponding to these points. Analogously, the Euclidean metric cannot be the correct proximity measure of two objects on the radar objects complex plane. In this connection it is necessary to consider as metrics a distance between the spherical representations of the points which belong to the complex plane. The points are defined on the Riemann sphere. We consider the definition of the distances between the spherical representations of the radar complex plane points in conformity to the analysis of radar objects proximity at their representation onto the complex plane. We focus on obtaining the radar objects polarization state proximity in the three-dimensional polarization space.