Lenze-Thirring problem with tide force in general relativity

Lenze-Thirring problem taking a tide force into account is considered in general relativity (GR). It is solved in the framework of Fock's method on the basis of body motion adiabatic theory in GR. Motion equations obtained in MA-presentation (M-impulse momentum; A - Laplace vector) have been integrated. Additional terms due to accounting the tide interaction have been found. As well as additional terms corresponding to the tide interaction and relativism have been obtained. (author)