| FM210 - Analytical Mechanics
(objectives)
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.
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Code
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20410339 |
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Language
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ITA |
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Type of certificate
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Profit certificate
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Credits
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9
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Scientific Disciplinary Sector Code
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MAT/07
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Contact Hours
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48
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Exercise Hours
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30
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Type of Activity
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Core compulsory activities
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Teacher
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CORSI LIVIA
(syllabus)
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.
(reference books)
G. Gentile, Introduzione ai sistemi dinamici. 1. Equazioni differenziali ordinarie, analisi qualitativa e alcune applicazioni, available online
G. Gentile, Introduzione ai sistemi dinamici. 2. Meccanica lagrangiana e hamiltoniana, available online
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Dates of beginning and end of teaching activities
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From to |
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Delivery mode
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Traditional
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Attendance
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not mandatory
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Evaluation methods
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Written test
Oral exam
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Teacher
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GENTILE GUIDO
(syllabus)
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.
(reference books)
G. Gentile, Introduzione ai sistemi dinamici. 1. Equazioni differenziali ordinarie, analisi qualitativa e alcune applicazioni, available online
G. Gentile, Introduzione ai sistemi dinamici. 2. Meccanica lagrangiana e hamiltoniana, available online
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Dates of beginning and end of teaching activities
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From to |
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Delivery mode
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Traditional
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Attendance
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not mandatory
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Evaluation methods
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Written test
Oral exam
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Università Roma Tre