Residual Annual and Diurnal Periodicities of the Pioneer 10 Acceleration Term Resolved in Absolute CMB Rest Frame

Authors: Roland Pabisch

The phenomenon of the residual, so far unexplained annual and diurnal tracking signal variations on top of the constant acceleration term Anderson & Laing & Lau & et al. (2002), is resolved by applying the general, classical Doppler formula (CMB-Doppler formula) of first order for two-way radio Doppler signals in the fundamental rest frame of the isotropic cosmic microwave background radiation (CMB) between earthbound Deep Space Network stations (DSN), and the Pioneer 10 space probe (P 10). The anomalous annual and diurnal variations of the constant acceleration term vanish, if instead of the relativistic Standard-Doppler formula (SRT-Doppler formula) of first and second order the CMB-Doppler formula is used. That formula contains the absolute velocities ue of Earth, and upio of P 10, derived from the absolute velocity usun of the solar system barycenter in the CMB, with usun = 369.0 ± 0.9 km/s, and the relative revolution velocity ve of Earth, and the relative velocity vpio of P 10 in the heliocentric frame from January 1987 until December 1996. The flyby radio Doppler and the proportional ranging data anomalies can be resolved as well by using the CMB-Doppler formula with the absolute, asymptotic velocities of the inbound and outbound flights during a gravity assist maneuver, which have usually slightly different magnitudes, inducing the so far unexplained frequency shift, and the unexplained difference in the ranging data, although the relative velocities are equal.

Comments: 6 Pages.

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[v1] 2018-06-27 05:16:45

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