Shevtsova, Oksana2025-11-272025-11-272025Shevtsova O. M. Three Degrees of Freedom System in the Frame of Lagrangian and Hamiltonian Approaches / Oksana Shevtsova // Математика, інформатика, фізика: наука та освіта. - 2025. - Т. 2, № 2. - C. 361-369. - https://doi.org/10.31652/3041-1955-2025-02-02-193041-1955https://doi.org/10.31652/3041-1955-2025-02-02-19https://ekmair.ukma.edu.ua/handle/123456789/37712The Lagrangian and Hamiltonian 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 Lagrangian and Hamiltonian formalism for the description of an illustrative three degrees of freedom system, learning the peculiarities of these formalisms, identifying the conservation laws and finding the integrals/constants of motion. Students can develop 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.enLagrangian and Hamiltonian formalismsConservation lawscyclic/ignorable coordinatesPoisson bracketThree Degrees of Freedom systemarticleArticle