Explanation of the anomalous Doppler observations in Pioneer 10 and 11

Radio metric data from the Pioneer 10 and 11 spacecraft indicate an apparent, constant skewing between the predicted and observed Doppler shifts. This offset has been attributed to a possible acceleration of 8.0×10^-8 cm/s² directed toward the Sun for both crafts. Any potential gravitometric models and systemic problems seem to fail in explaining this discrepancy. The value of the observed anomalous shift is shown to equal the difference between the calculated values for Newtonian and special relativistic Doppler expressions. The anomalous signals seem to indicate a preference for the Newtonian values and a deficiency of the relativistic Doppler corrections rather than any new gravitational physics