Bumblebee gravity and particle motion in Snyder noncommutative spacetime structures

Abstract A metric with a Lorentz violating parameter is associated the bumblebee gravity model. We study motion of particle in this background where dynamical variables satisfy non-canonical Snyder algebra along some critical survey on classical observations to see how these would likely differ from Schwarzschild background. It has been found that perihelion shift acquires generalized expression two independent parameters. One connected factor and other involved algebraic formulation. also observe time period revolution, general, background, however, for circular orbit, it remains unchanged even presence The parameters used here can be constrained same type conjecture earlier.