- Canonical transformations
- Cyclic coordinates and Poisson brackets
- Hamiltonian for the two-body problem
- Hamiltonians and Legendre transformations
- Invariance of Euler-Lagrange and Hamilton's equations
- Lagrangian for the two-body problem
- Passive, regular and active transformations. Generators
- Poisson brackets are invariant under a canonical transformation
- Relation between action and energy