I am looking for a reference (or just a brief explanation) to applications of the Hamiltonian formalism to classical mechanics, e.g. to planetary motion.
In all known to me textbooks on classical mechanics explaining the Hamiltonian formalism (e.g. Landau-Lifshitz, vol. 1, or “Mathematical methods of classical mechanics” by Arnold) no applications to concrete problems of classical mechanics are given. (However this formalism plays a role later in quantum mechanics to partly motivate the Schroedinger equation.)
