• Corpus ID: 119289003

Kepler's Orbits and Special Relativity in Introductory Classical Mechanics

  title={Kepler's Orbits and Special Relativity in Introductory Classical Mechanics},
  author={Tyler J. Lemmon and Antonio R. Mondragon},
  journal={arXiv: Earth and Planetary Astrophysics},
Kepler's orbits with corrections due to Special Relativity are explored using the Lagrangian formalism. A very simple model includes only relativistic kinetic energy by defining a Lagrangian that is consistent with both the relativistic momentum of Special Relativity and Newtonian gravity. The corresponding equations of motion are solved in a Keplerian limit, resulting in an approximate relativistic orbit equation that has the same form as that derived from General Relativity in the same limit… 

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