Hamilton's Equations
The equations defined by
 |  |  | (1) |
 | |  | (2) |
where
and 
is the so-called Hamiltonian, 
are called Hamilton's equations. Theseequations frequently arise in problems of celestial mechanics. Anotherformulation related to Hamilton's equation is | (3) |
is the so-called Lagrangian.
References
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.
- Point Picking
- Point-Plane Distance
- Point-Point Distance--1-D
- Point-Point Distance--2-D
- Point-Point Distance--3-D
- Point Probability
- Point-Quadratic Distance
- Point-Set Topology
- Points Problem
- Pointwise Dimension
- Poisson Bracket
- Poisson-Charlier Function
- Poisson-Charlier Polynomial
- Poisson Distribution
- Poisson Integral
- Poisson Integral Representation
- Poisson Kernel
- Poisson Manifold
- Poisson's Bessel Function Formula
- Poisson's Equation
- Poisson's Harmonic Function Formula
- Poisson Sum Formula
- Poisson Trials
- Poke Move
- Poker