Analysis of the annual fluctuations of the Pioneer 10 signal frequency for compliance with the metric describing the gravitational field of a moving spherical body

The gravitational field of a spherical body moving uniformly and rectilinearly is considered. The corresponding metric for weak gravity is obtained by applying the Lorentz transformations to the linearized isotropic Schwarzschild metric. The change in the flow of time obtained from the geodetic equations is consistent with the annual fluctuations in the frequency of the signal from Pioneer 10.