Motion in a Central-Force Field

The following sections are included:

• Motion in a Central-Force Field

  • Lagrangian Formalism

    • Radial Orbit Equation

    • Inversion Problem

  • Hamiltonian Formalism

  • Turning Points

• Homogeneous Central Potentials^*

  • The Virial Theorem

  • General Properties of Homogeneous Potentials

• Kepler Problem

  • Bounded Keplerian Orbits

    • Kepler's First Law

    • Kepler's Second Law

    • Kepler's Third Law

  • Unbounded Keplerian Orbits

  • Laplace-Runge-Lenz Vector^*

    • Kepler Problem

    • Perturbed Kepler Problem

• Isotropic Simple Harmonic Oscillator

• Internal Reflection inside a Well

• Problems