The laboratory and field investigations of the several automatic gravimeters Scintrex CG_5 with a quartz elastic system used for the determining of gravity acceleration were performed. Research on characteristics of four gravimeters includes a five-year period. The data consists of gravimetric observations at a laboratory, on the gravimetric testline and at the points of the Lithuanian gravimetric network. The evaluation of the phenomena of the spring systems of the gravimeters was made. The stress on the estimation of the zero drift at a laboratory and field investigations was done. It was detected that zero drift does not exceed 500 μGal per day with a diapason of 200 μGal. The zero drifts per hour do not exceed 25 μGal, mostly they are under 10 μGal. According to the annual calibration results the character of the changes of the linear scale coefficients of the gravimeters were analysed too. The calibration base of 270 km length in Lithuania where the difference of the gravity acceleration of the end points is 201 mGal was used for investigations. The research showed that the biggest deviation from the unit of the linear scale coefficients does not exceed 0.013. It was noted, that the values of the linear scale coefficients of the gravimeters have a tendency to decrease. Also was noted, that the values of the linear scale coefficients have a tendency to decrease in the period between field works, and to increase - in the field works period. So the calibration of the gravimeters should be carried out before and after the field works. Based on measurements carried out during development of the Lithuanian gravimetric network, which consists of 686 gravimetric points, accuracy of gravity acceleration increments was assessed. The comparison of the observations results against the results, obtained by the LaCoste and Romberg gravimeters with metal elastic system, is presented too. The total number of common points is 51. It was stated, that the differences of the gravity accelerations measured by the different types of gravimeters at gravimetric points do not differ more than 10 μGal, therefore maximum difference of 25 μGal was received. The standard deviations of the gravity accelerations of the gravimetric points do not exceed 7 μGal. Such results show the good performance of the SCINTREX CG_5 gravimeters.

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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 $z$ from the Doppler effect formula and a system of polar coordinates. The value of the Doppler parameter $z$ 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 $z$ 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 $z$ 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 $z$ 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 $\beta$ (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.