info:eu-repo/semantics/article
Rolling of a symmetric sphere on a horizontal plane without sliding or spinning
Fecha
2006-06Registro en:
Cendra, Hernan; Etchechoury, María del Rosario; Rolling of a symmetric sphere on a horizontal plane without sliding or spinning; Elsevier Science; Reports On Mathematical Physics; 57; 3; 6-2006; 367-374
0034-4877
CONICET Digital
CONICET
Autor
Cendra, Hernan
Etchechoury, María del Rosario
Resumen
In this paper we perform a complete study of the dynamics of a symmetric sphere rolling on a horizontal plane without sliding or spinning. Integrals of motion that completely determine the behaviour of this systems in terms of elementary functions are explicitly written. Equilibrium points and closed orbits are systematically described. Our approach is geometric and we find that the system is equivalent to an ODE on the manifold S2 × S1.