Deterministic and Random Perturbations of the Kepler Problem

  title={Deterministic and Random Perturbations of the Kepler Problem},
  author={Jesse Dimino},
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… 



When effective theories predict: the inevitability of Mercury's anomalous perihelion precession

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Numerical Integration of SDEs: A Short Tutorial

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An Invitation to Modern Number Theory

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Application of Benford's Law on Stock Turnover

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15.5 Action-Angle Variables

  • Physics LibreTexts
  • 2021

Notes-BM". In: Columbia

  • 2018