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On the Possibility to Explain "The Pioneer Anomaly" within the Framework of Conformal Geometrodynamics

Mikhail V. Gorbatenko
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Abstract

Einstein-Infeld-Hoffmann method is used to solve the problem of motion of two bodies when the equations of general relativity are of the generalized form: they have been reduced to a form invariant under conformal transformations. It is proved that not only metric degrees of freedom, but also derivatives of vector $A_α$ appearing in the generalized equations can exert influence on the motion of bodies in a certain space-time domain. This influence can account for the recently observed anomalous acceleration of spacecrafts Pioneer 10, Pioneer 11. The impact of vector $A_α$ on the motion of bodies is interpreted as a consequence of viscosity in geometrodynamic continuum.

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Mikhail V. Gorbatenko. 2005-09-06. On the Possibility to Explain "The Pioneer Anomaly" within the Framework of Conformal Geometrodynamics. https://arxiv.org/abs/gr-qc/0509017

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