Constant of motion for a one-dimensional and nth-order autonomous system and its relation to the Lagrangian and Hamiltonian
A constant of motion is defined for a one-dimensional and nth-differenital-order autonomous svstem. A generalization of the Legendre transformation is given that allows one to obtain a relation among the constant of motion the Lagrangian, and the Hamiltonian. The approach is used to obtain the constant of motion associated with the nonrelativistic third-differential-order Abraham-Lorentz radiation damping equation.
- Research Organization:
- Superconducting Super Collider Lab., Dallas, TX (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- AC35-89ER40486
- OSTI ID:
- 71708
- Report Number(s):
- SSCL-Preprint--543; ON: DE95011153
- Country of Publication:
- United States
- Language:
- English
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