• Corpus ID: 118603912

Plane Pendulum and Beyond by Phase Space Geometry

  title={Plane Pendulum and Beyond by Phase Space Geometry},
  author={Bradley Klee},
  journal={arXiv: Classical Physics},
  • Bradley Klee
  • Published 30 May 2016
  • Physics
  • arXiv: Classical Physics
The small angle approximation often fails to explain experimental data, does not even predict if a plane pendulum's period increases or decreases with increasing amplitude. We make a perturbation ansatz for the Conserved Energy Surfaces of a one-dimensional, parity-symmetric, anharmonic oscillator. A simple, novel algorithm produces the equations of motion and the period of oscillation to arbitrary precision. The Jacobian elliptic functions appear as a special case. Thrift experiment combined… 

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