To acquire a basic knowledge of the theory of conservative mechanical systems and of the elements of analytical mechanics, in particular of Lagrangian and Hamiltonian mechanics
teacher profile teaching materials
G. Gentile, Introduzione ai sistemi dinamici. 2. Meccanica lagrangiana e hamiltoniana
Fruizione: 20410339 FM210 - MECCANICA ANALITICA in Matematica L-35 GENTILE GUIDO, CORSI LIVIA
Programme
Conservative mechanical systems. Qualitative analysis of motion and Lyapunov stability. Planar systems and one-dimensional mechanical systems. Central motions and the two-body problem. Change of frames of reference. Fictitious forces. Constraints. Rigid bodies. Lagrangian mechanics: variational principles, cyclic variables, Routh method, constants of motion and symmetries. Hamiltonian mechanics: Liouville's theorem and Poincaré's recurrence theorem, canonical transformations, generating functions, Hamilton-Jacobi method and action-angle variables.Core Documentation
G. Gentile, Introduzione ai sistemi dinamici. 1. Equazioni differenziali ordinarie, analisi qualitativa e alcune applicazioniG. Gentile, Introduzione ai sistemi dinamici. 2. Meccanica lagrangiana e hamiltoniana
Type of delivery of the course
Lectures, integrative teaching and assisted study (tutoring). [In the event of an extension of the health emergency from COVID-19, all provisions that regulate the methods of carrying out both teaching activities and student assessment will be implemented.]Attendance
Attending the course is strongly recommended but not mandatory.Type of evaluation
The exam consists of a written test, possibly replaced by two tests of exoneration in progress, and/or in a subsequent oral interview, in which the student will have to discuss the topics treated in class, with reference to the texts used and the notes distributed in class. [In the event of an extension of the health emergency from COVID-19, all provisions that regulate the methods of carrying out both teaching activities and student assessment will be implemented.] teacher profile teaching materials
G. Gentile, Introduzione ai sistemi dinamici. 2. Meccanica lagrangiana e hamiltoniana
Fruizione: 20410339 FM210 - MECCANICA ANALITICA in Matematica L-35 GENTILE GUIDO, CORSI LIVIA
Programme
Conservative mechanical systems. Qualitative analysis of motion and Lyapunov stability. Planar systems and one-dimensional mechanical systems. Central motions and the two-body problem. Change of frames of reference. Fictitious forces. Constraints. Rigid bodies. Lagrangian mechanics: variational principles, cyclic variables, Routh method, constants of motion and symmetries. Hamiltonian mechanics: Liouville's theorem and Poincaré's recurrence theorem, canonical transformations, generating functions, Hamilton-Jacobi method and action-angle variables.Core Documentation
G. Gentile, Introduzione ai sistemi dinamici. 1. Equazioni differenziali ordinarie, analisi qualitativa e alcune applicazioniG. Gentile, Introduzione ai sistemi dinamici. 2. Meccanica lagrangiana e hamiltoniana
Type of delivery of the course
Lectures, integrative teaching and assisted study (tutoring). [In the event of an extension of the health emergency from COVID-19, all provisions that regulate the methods of carrying out both teaching activities and student assessment will be implemented.]Type of evaluation
The exam consists of a written test, possibly replaced by two tests of exoneration in progress and in a subsequent oral interview, in which the student will have to discuss the topics treated in class, with reference to the texts used and the notes distributed in class. [In the event of an extension of the health emergency from COVID-19, all provisions that regulate the methods of carrying out both teaching activities and student assessment will be implemented.]