Research PapersNo Access
NEWTON'S EQUATION ON THE κ-SPACETIME AND THE KEPLER PROBLEM
https://doi.org/10.1142/S021773231003416XCited by:31 (Source: Crossref)
Abstract
We study the modification of Newton's second law, upto first order in the deformation parameter a, in the κ-spacetime. We derive the deformed Hamiltonian, expressed in terms of the commutative phase space variables, describing the particle moving in a central potential in the κ-spacetime. Using this, we find the modified equations of motion and show that there is an additional force along the radial direction. Using Pioneer anomaly data, we set a bound for a. We also analyze the violation of equivalence principle predicted by the modified Newton's equation, valid up to first order in a and use this also to set an upper bound on a.
PACS: 11.10.Nx, 11.30.Cp
