Pioneer's Anomaly and the Solar Quadrupole Moment

Details Pioneer's Anomaly and the Solar Quadrupole Moment Pioneer's Anomaly and the Solar Quadrupole Moment

2005-01-04

arxiv.org/abs/gr-qc/0501006v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Typos corrected, references added

Scientific paper

10.1063/1.1900512

The trajectories of test particles moving in the gravitational field of a non-spherically symmetric mass distribution become affected by the presence of multipole moments. In the case of hyperbolic trajectories, the quadrupole moment of an oblate mass induces a displacement of the trajectory towards the mass source, an effect that can be interpreted as an additional acceleration directed towards the source. Although this additional acceleration is not constant, we perform a general relativistic analysis in order to evaluate the possibility of explaining Pioneer's anomalous acceleration by means of the observed Solar quadrupole moment, within the range of accuracy of the observed anomalous acceleration. We conclude that the Solar quadrupole moment generates an acceleration which is of the same order of magnitude of Pioneer's constant acceleration only at distances of a few astronomical units.

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