First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
ASTRONOMY
Course unit
THEORY OF ORBITS
SCN1032624, A.A. 2019/20

Information concerning the students who enrolled in A.Y. 2018/19

Information on the course unit
Degree course Second cycle degree in
ASTRONOMIA
SC1173, Degree course structure A.Y. 2010/11, A.Y. 2019/20
N0
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Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination THEORY OF ORBITS
Website of the academic structure http://astronomia.scienze.unipd.it/2019/laurea_magistrale
Department of reference Department of Physics and Astronomy
Mandatory attendance
Language of instruction Italian
Branch PADOVA
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Lecturers
No lecturer assigned to this course unit

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Core courses FIS/05 Astronomy and Astrophysics 6.0

Course unit organization
Period First semester
Year 2nd Year
Teaching method frontal

Type of hours Credits Teaching
hours
Hours of
Individual study
Shifts
Lecture 6.0 48 102.0 No turn

Calendar
Start of activities 30/09/2019
End of activities 18/01/2020
Show course schedule 2019/20 Reg.2010 course timetable

Examination board
Examination board not defined

Syllabus
Prerequisites: Analytical Mechanics. Celestial mechanics or Orbital Mechanics or Astrodynamics.
Target skills and knowledge: The aim of this course is to provide:
1) advanced knowledge of the dynamics of gravitationally interacting bodies in the framework of Newtonian Mechanics, including perturbations of non-gravitational origin;
2) an opportunity to carry out analytical developments, also with the use of algebraic manipulator systems (e.g., Mathematica), which are characteristic of the theories of motion of celestial objects, both natural and artificial;
3) hands-on experience by developing numerical computational tools (in Matlab, Fortran90, C++, Python) for application to the prediction and the determination of the motion of celestial objects.
Examination methods: Oral final exam (discussion of final project and of two topics covered in the lectures in which the student is expected to propose and justify specific methodologies and techniques to be adopted for the solution of standard problems encountered in predicting the dynamical behavior of complex celestial system or when handling observational data of such systems).
Assessment criteria: Evaluation criteria:
1) Homework assignments (40% of the final mark).
2) Final project and presentation (40% of the final mark).
3) Final oral exam at the moment of the final project presentation (20% of the final mark).
Course unit contents: 1) Perturbation theory (in the coordinates and in the orbital elements).
2) Series developments on the two-body problem.
3) Development of the disturbing function.
4) Lunar theory.
5) Planetary theory.
6) Theory of resonant motion (mean motion resonances, Kozai's theory, etc.).
7) Theory of the potential.
8) The motion of a space probe about a nearly spherical body (Kaula’s theory).
9) The motion of a space probe near an irregularly shaped body (asteroid, comet).
10) Spin-orbit coupling and tidal evolution.
11) Estimation of the gravitational potential.
12) The theory of patched conics and the design of gravity-assist interplanetary trajectories.
13) Trajectory design and optimization.
14) Low-thrust trajectory design and optimization.
15) Introduction to optimal control - Optimal satellite formation-keeping.
Planned learning activities and teaching methods: The course includes:
1) regular lectures with the use of the blackboard;
2) introduction to high-precision computer simulation of the dynamics of a system of celestial bodies;
3) discussion on the identification of topics for the final project.
All the activities are in Italian.
Additional notes about suggested reading: Textbooks. Lecture notes of the teachers "S. Casotto, Introduction to the theory of orbits".

"Boccaletti, Dino; Pucacco, Giuseppe, Theory of orbits 1: Integrable systems and non-perturbative methods. Berlin: Springer-Verlag, 1996.

Boccaletti, Dino; Pucacco, Giuseppe, Theory of orbits 2: Perturbative and geometrical methods. Berlin: Springer-Verlag, 1999.

Kaula, William M., Theory of satellite geodesy. Mineola (NY): Dover, 2000."
Textbooks (and optional supplementary readings)
  • Boccaletti, Dino; Pucacco, Giuseppe, Theory of orbits 1: Integrable systems and non-perturbative methods. Berlin: Springer-Verlag, 1996. Cerca nel catalogo
  • Boccaletti, Dino; Pucacco, Giuseppe, Theory of orbits 2: Perturbative and geometrical methods. Berlin: Springer-Verlag, 1999. Cerca nel catalogo
  • Kaula, William M., Theory of satellite geodesy. Mineola (NY): Dover, 2000. Cerca nel catalogo

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