Residual Annual and Diurnal Variations of the P10 Radio Doppler Signals Eventually Resolved in CMB Space Approach

Authors: Roland Pabisch

Applying the general, classical 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 (P10) resolves the phenomenon of the residual, so far unexplained annual and diurnal variations. We use the absolute velocities ue of Earth, and upio of P10, derived from the absolute velocity usun of the solar system barycenter in the CMB, with usun = 370.0 ± 0.22 km/s, and the relative revolution velocity ve of Earth, and the relative velocity vpio of P10 in the heliocentric frame from January 1987 until December 1996. The revolution of Earth causes a significant variation of ue, since the absolute velocity vector usub inclines the ecliptic plane with a small declination of β = -10.6 ° at λ = 169.5 ° towards constellation Becher. The anomal annual and diurnal deviations of the radio Doppler signals vanish, if instead of the standard Doppler formulas of first and second order the above mentioned CMB-Doppler formula is used. The thus only apparent residual annual term, which is derived from that theoretical method, matches closely the experimental data, published and analyzed in detail by Anderson & Laing & Lau & et al. (2002), in magnitude of the amplitude, date of the minima and maxima of the approximate sine wave, and the decrease of the amplitude between 1987 and 1996. For the diurnal term the observed magnitude, and an annual term maximum on 1996 December 17, also fit our theoretical prediction. Finally we analyze in brief the flyby Doppler- and ranging data anomalies, which also can be resolved by using the new theoretical assertions.

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[v1] 2018-03-12 04:49:40

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