
CELESTIAL MECHANICS
Second cycle degree in ASTRONOMY
Campus:
PADOVA
Language:
English
Teaching period:
Second Semester
Lecturer:
STEFANO CASOTTO
Number of ECTS credits allocated:
6
Prerequisites:

Students are expected to be familiar with Rational Mechanics and Mathematical Analysis, including the elementary theory of Ordinary Differential Equations.
A fair amount of curiosity about dynamical phenomena observed in the Solar and other planetary systems is useful, together with an interest in their precise modeling and computation and the design of exploration missions. 
Examination methods:

Homework, Final project report, Oral presentation of final report and discussion of the results and other topics covered during the lectures. 
Course unit contents:

1. The equations of motion of gravitating systems
2. The TwoBody Problem and an initial value problem (IVP)
3. The TwoBody Problem and a boundary value problem (BVP)
4. Orbital maneuvers
5. Space and time reference systems
6. The computation of a Keplerian ephemeris
7. Preliminary orbit determination
8. Keplerian relative motion and its generalization
9. Regularization and Universal Formulation of the TwoBody Problem
10. The TBP as a boundary value problem (BVP) – Lambert targeting
11. The Problem of Three Bodies and its homographic solutions
12. The Circular Restricted ThreeBody Problem – Jacobi’s integral, surfaces of zero velocity, Lagrangian points, Stability, Periodic orbits
13. The theory of Patched Conics and the design of gravityassist interplanetary trajectories
14. Elements of perturbations and a the motion of an artificial Earth satellite 

