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

Key Points

• This research examines the relationship between the Pioneer 10 signal frequency fluctuations and the gravitational field of a moving spherical body.
• Derived the gravitational field metric using Lorentz transformations and isotropic Schwarzschild metric.
• Analyzed annual frequency data from the Pioneer 10 signal.
• Examined geodetic equations for consistency with observed fluctuations.
• Confirmed that time flow changes align with annual fluctuations in the Pioneer 10 signal frequency.
• Established that the obtained metric accurately describes weak gravity scenarios.
• Showed that the Pioneer 10 data is consistent with theoretical predictions from the derived metric.

Abstract