  The Keplerian shear was introduced within the context of measure preserving
dynamical systemsby Damien Thomine, as a version of mixing for non ergodic
systems. In this study we providea characterization of the Keplerian shear
using Rajchman measure, for some flows on tori bundles.Our work applies to
dynamical systems with singularities or with non-absolutely continuousmeasures.
We relate the speed of decay of conditional correlations with the Rajchman
order ofthe measures. Some of these results are extended to the case of compact
Lie group bundles.
