Deterministic and Random Perturbations of the Kepler Problem

@article{Dimino2022DeterministicAR,
  title={Deterministic and Random Perturbations of the Kepler Problem},
  author={Jesse Dimino},
  journal={ArXiv},
  year={2022},
  volume={abs/2206.08169}
}
We investigate perturbations in the Kepler problem. We offer an overview of the dynamical system using Newtonian, Lagrangian and Hamiltonian Mechanics to build a foundation for analyzing perturbations. We consider the effects of a deterministic perturbation in the form of a first order relativistic correction which change bounded orbits from standard to precessing ellipses. We also consider the effects of stochastic perturbations with certain potentials and evaluate the analytical results of… 

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