Eventos Anais de eventos
DINAME 2023
XIX International Symposium on Dynamic Problems of Mechanics
Lie Symmetries for the Spinning Top
Submission Author:
Cláudio Basquerotto , PA , Brazil
Co-Authors:
Cláudio Basquerotto, Adrián Ruiz Servan, João Trentin, Samuel da Silva, Hans Ingo Weber
Presenter: Cláudio Basquerotto
doi://10.26678/ABCM.DINAME2023.DIN2023-0060
Abstract
In this work it is showed the application of Lie symmetries for reducing the order of a system that models a classical problem found in mechanical engineering: a spinning top. The motion equations are given by a three-dimensional system of second-order ordinary differential equations. The system admits three Lie point symmetries which are applied to reduce the order.
Keywords
Lie symmetries, Spinning top, Reduction of order, Analytical Solution
