Celestial Mechanics
A.Y. 2018/2019
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
Single session
Lesson period
Second semester
Course syllabus
1. Revisiting the Hamiltonian formalism: Hamilton's equations; first integrals and Poisson brackets; canonical transformations; Hamilton-Jacoby equation; Liouvilles theorem.
2. The Kepler's problem: orbital elements; motion in a central field of force; the problem of two bodies; Delaunay's variables.
3. The planetary problem: the perturbing function; Lagrange's theory of the secular motions of nodes and perihelia.
4. The problem of three bodies: the restricted circular problem; lagrangian equilibria and their stability; Hill's surfaces; the elliptin cproblem; the Hill's problem; the Sundman and levi Civita regularization.
2. The Kepler's problem: orbital elements; motion in a central field of force; the problem of two bodies; Delaunay's variables.
3. The planetary problem: the perturbing function; Lagrange's theory of the secular motions of nodes and perihelia.
4. The problem of three bodies: the restricted circular problem; lagrangian equilibria and their stability; Hill's surfaces; the elliptin cproblem; the Hill's problem; the Sundman and levi Civita regularization.
MAT/07 - MATHEMATICAL PHYSICS - University credits: 6
Lessons: 42 hours
Professor:
Giorgilli Antonio