Kahil, Magd E2020-07-202020-07-207/15/2020https://doi.org/10.1007/s12648-020-01793-5https://t.ly/vvqoSCOPUSSpinning equations of bi-metric type theories of gravity, the counterpart of the Papapetrou equations of motion are derived as well as their corresponding spinning deviation equations, by means of introducing different types of bi-metric theories. The influence of different curvatures based on different connections is illustrated. A specific Lagrangian function for each type theory is proposed, in order to derive the set of spinning motion and their corresponding spinning deviation equations.en-USSpinning deviationSpinning equationsGeodesic deviationBi-metricGeodesicArticle