The hamiltonian formulation of the motions of the pendulum and the spinning top

• Grant number: 13/13516-5
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: November 01, 2013
• End date: October 31, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Henrique Nogueira de Sá Earp
• Grantee: Augusto César Silva Soares Pereira
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

The project consists on studying the Hamiltonian formulation of the motions of the pendulum and the spinning top; the first case acting as an introduction to the theory of elliptic functions; the second case as an introduction to the symplectic formalism and the concept of the momentum map.