Three Degrees of Freedom System in the Frame of Lagrangian and Hamiltonian Approaches
Oksana Shevtsova
Published 2026-11-26
Keywords
- Lagrangian and Hamiltonian formalisms,
- Conservation laws,
- cyclic/ignorable coordinates,
- Poisson bracket,
- Three Degrees of Freedom system
Copyright (c) 2025 Оксана Шевцова
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Abstract
The Lagrange and Hamilton approaches are key structural elements in classical mechanics courses for undergraduate students and a powerful part of the physics education culture.
The paper is created as a project for students aimed at applying the Lagrange and Hamilton formalism for the description of an illustrative 3 degrees of freedom system, learning the peculiarities of these formalisms, seeing the conservation laws and finding the integrals/constants of motion. Students can enjoy using these different independent techniques and obtaining the coinciding results. In other words, this paper is an attempt to present
clear interrelations of these approaches training new skills, useful for students learning classical mechanics.
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References
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