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

TL;DR

This paper explores whether the Pioneer Anomaly can be explained within conformal geometrodynamics, showing that vector fields influence spacecraft motion and could account for observed anomalies.

Contribution

It demonstrates that generalized conformal equations include vector derivatives affecting motion, providing a potential explanation for the Pioneer Anomaly.

Findings

Vector derivatives influence spacecraft trajectories.

The anomalous acceleration can be explained by conformal geometrodynamics.

Viscosity in geometrodynamic continuum affects motion.

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 $A_{\alpha}$ 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 $A_{\alpha}$ on the motion of bodies is interpreted as a consequence of viscosity in geometrodynamic continuum.