Celestial Mechanics
A.Y. 2021/2022
Learning objectives
1. Introduction to the classical and modern methods of Celestial mechanics.
2. The problem of three bodies.
2. The problem of three bodies.
Expected learning outcomes
The classical mathematical methods of Celestial Mechanics.
Lesson period: Second semester
Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi
Single course
This course cannot be attended as a single course. Please check our list of single courses to find the ones available for enrolment.
Course syllabus and organization
(non erogato nell'a.a. 2021-22)
Lesson period
Second semester
More specific information on the delivery modes of training activities for academic year 2021/22 will be provided over the coming months, based on the evolution of the public health situation
Course syllabus
Introduction to classical and modern methods of celestial mechanics.
1) Planetary motion. Kepler's ellipses. Newton's gravitation. The orbital elements. Determination of orbits. Recalls of Hamiltonian formalism and canonical variables.
2) Perturbative methods: from Laplace and Lagrange theory to KAM tori.
3) The three-body problem.
4) The problem of the stability of the solar system and Nekhoroshev's theory.
5) The dynamics of extrasolar systems.
1) Planetary motion. Kepler's ellipses. Newton's gravitation. The orbital elements. Determination of orbits. Recalls of Hamiltonian formalism and canonical variables.
2) Perturbative methods: from Laplace and Lagrange theory to KAM tori.
3) The three-body problem.
4) The problem of the stability of the solar system and Nekhoroshev's theory.
5) The dynamics of extrasolar systems.
Prerequisites for admission
Knowledge of analysis, geometry, linear algebra and mathematical physics provided in the three-year degree course in Mathematics.
In particular Newtonian Mechanics, Lagrangian Mechanics.
In particular Newtonian Mechanics, Lagrangian Mechanics.
Teaching methods
Lectures, strongly recommended frequency.
Teaching Resources
Lecture notes and a list of recommended books available in the library will be available on the teacher's web page.
Assessment methods and Criteria
The exam consists of a written test or a project, followed by an oral test.
MAT/07 - MATHEMATICAL PHYSICS - University credits: 6
Lessons: 42 hours
Educational website(s)