The equations defined by
and is the so-called Hamiltonian, are called Hamilton's equations. These
equations frequently arise in problems of celestial mechanics. Another
formulation related to Hamilton's equation is
where is the so-called Lagrangian.
Morse, P. M. and Feshbach, H. ``Hamilton's Principle and Classical Dynamics.'' §3.2 in
Methods of Theoretical Physics, Part I. New York: McGraw-Hill, pp. 280-301, 1953.
© 1996-9 Eric W. Weisstein