Investigation of the Effect of Gravity Anomalies on the Precession Motion of Single Gyroscope Gravimeter

摘要

Obtained a complete mathematical model of motion of unbalanced three-axis gyroscope, based on which was studied the influence of gravity anomalies on the precessional motion of single gyroscope gravimeter. There are research results of mathematical modeling of gravitational perturbations impact on precessional movement of gyroscope. The results have showed a proportional relationship between the value of gravitational perturbations and the precession angle, and have proved that increase in rotor center-of-gravity shift leads to a proportional increase in gravitational perturbations impact. The obtained results may be practically used in designing sensors of gravity anomalies, the knowledge of which (gravity anomaly) is used in mineral exploration and inertial navigation.