Equations of deviation of geodesic lines, describing relative oscillations of two free particles, was obtained earlier by Synge .
The mathematical model for such an antenna consists of two free test-particles moving on neighbouring geodesic lines located infinitely close to one another.
For two neighbour geodesic lines, the following relation is obviously true
We are now going to obtain solutions to the deviation equation for geodesic lines (the Synge equation).
17) the Synge equation (the geodesic lines deviation equation) in its final form
The exact solution of non-null geodesic lines describing the motion of a satellite in a state of weightlessness is obtained.
It follows from exact solutions of the isotropic geodesic lines equations for the obtained metric, that an anisotropy of the velocity of light exists in the z-direction.
The motion of a satellite by means of non-isotropic (non-null) geodesic lines equations is described.