Mentor
Charles Torre
Document Type
Article
Publication Date
4-2024
First Page
1
Last Page
22
Abstract
We consider Lagrangians for classical mechanics which depend upon an arbitrary number of time derivatives of the configuration variables. From the boundary term in the first variation of the Lagrangian we derive the Ostrogradsky formulas which define the Hamiltonian formulation of mechanical systems.
Recommended Citation
Pontius, Matthew and Watson, Drew, "The First Variational Formula, the Phase Space of Solutions, and the Ostrogradsky Formalism" (2024). Physics Capstone Projects. Paper 117.
https://digitalcommons.usu.edu/phys_capstoneproject/117
