We have developed a general statistical procedure for analysis of 2D and 3D finite patterns , which is applied to the data from recently released Gaia-ESA catalogue DR2 . The 2D analysis clearly confirms our former results on the presence of binaries in the older DR1 catalogue . Our main objective is the statistical 3D analysis of DR2 . For this , it is essential that the DR2 catalogue includes parallaxes and data on the proper motion . The analysis proves a high rate of binaries in the region under study and allows us to estimate a high limit of their separation : \Delta _ { \max } \approx 0.1 pc . Finally and most importantly , we had shown that combined analysis of the separations with proper motion of the pairs of sources provides a clear picture of binaries with two components of the motion : parallel and orbital . The analysis allowed us to estimate the average orbital period and mass of the binary star system in a chosen statistical ensemble .