Normal Coordinates Describing Coupled Oscillations in the Gravitational Field

TL;DR

This paper investigates small oscillations in the gravitational field caused by local sources, suggesting they could lead to large-scale spacetime rotations and potentially explain the Pioneer anomaly.

Contribution

It introduces a model linking coupled oscillations in the gravitational field to observable anomalous accelerations in spacecraft.

Findings

Correlation between spacetime rotational frequency and Pioneer anomaly

Oscillations induce pure rotational kinetic energy in gravitational field

Potential explanation for celestial acceleration anomalies

Abstract

The motion of a local source inducing small oscillations in the gravitational field is investigated and shown to exhibit pure rotational kinetic energy. Should the net affect of these slow, revolving oscillations cause large-scale rotations in spacetime it would certainly result in anomalous celestial accelerations. When this angular rotational frequency of spacetime is applied to the anomalous acceleration of the Pioneer 10/11 spacecrafts, the correlation is promising.