3. Central Force Problem
3.1 Classification of orbits,
The Equations of Motion and First Integrals
The Equivalent One-Dimensional Problem, and
Classification of Orbits
3.2 The virial theorem,
3.3 The differential equation of orbit and integrable power-law
potentials,
3.4 Conditions for closed orbits (Bertand’s theorem),
3.5 Kepler’s problem: Inverse-square law of forces,
3.6 The motion in time in the Kepler’s problem,
3.7 The Laplace-Runge-Lenz vector,
3.8 Scattering in a central force field
3.9 Transformation of the scattering problems to laboratory
coordinates.
RK; CM class on 20200820
