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.
- Fermat-Lucas Number
- Fermat Number
- Fermat Number (Lucas)
- Fermat Point
- Fermat Polynomial
- Fermat Prime
- Fermat Pseudoprime
- Fermat Quotient
- Fermat's Algorithm
- Fermat's Congruence
- Fermat's Conjecture
- Fermat's Factorization Method
- Fermat's Last Theorem
- Fermat's Lesser Theorem
- Fermat's Little Theorem
- Fermat's Little Theorem Converse
- Fermat Spiral Inverse Curve
- Fermat's Polygonal Number Theorem
- Fermat's Primality Test
- Fermat's Problem
- Fermat's Right Triangle Theorem
- Fermat's Sigma Problem
- Fermat's Simple Theorem
- Fermat's Spiral
- Fermat's Theorem