ECTS credits ECTS credits: 6
ECTS Hours Rules/Memories Student's work ECTS: 102 Hours of tutorials: 6 Expository Class: 18 Interactive Classroom: 24 Total: 150
Use languages Spanish, Galician
Type: Ordinary subject Master’s Degree RD 1393/2007 - 822/2021
Departments: Applied Mathematics
Areas: Astronomy and Astrophysics
Center Faculty of Mathematics
Call: First Semester
Teaching: With teaching
Enrolment: Enrollable | 1st year (Yes)
I. To learn the fundamentals of Mathematical Astronomy.
II. To become familiar with both theoretical and observational Astronomy.
III. To use the necessary mathematical methods to be able to begin research in Celestial Mechanics.
1) THE TWO-BODY PROBLEM EXTENSION
1a. Revision of previous concepts
1b. Methods to resolve Kepler’s equation
1c. Parabolic and hyperbolic keplerian motion
1d. Potential created by a sphere
1e. Solar System orbits.
18 Hours
2) INTRODUCTION TO ESTELLAR PHYSICS
2a. Electromagnetic radiation
2b. Photometry concepts
2c. The stellar magnitude System.
2.d Spectral Classification
2e. Hertzsprung-Russell diagram
2f. Stellar evolution
6 Hours
3) BINARY AND MULTIPLE STARS
3a. Types of binary systems
3b. Orbital elements
3c. Orbit and stellar masses calculation
3d. Binary Star evolution
6 Hours
4) ANALYTICAL MECHANICS CONCEPTS
4a. Hamiltonian form of motion equations
4b. Canonical transformations
4c. The deduction of the Delaunay variables
9 Hours
5) THE N-BODY PROBLEM
5a. Classical integrals
5b. The three-body problem
5c. Integrable cases
3 Hours
6) PERTURBED KEPLERIAN MOTION
6a. Lagrange equations (LE)
6b. Application of the LE to the motion of the Moon
6c. Application of the LE to the motion of the artificial satellite
6 Hours
Basic
1 ABAD, A. "Astrodinámica". Editor Bubok Publishing S.L. , 2012
2. ABAD, A., DOCOBO, J. A. e ELIPE, A. “Curso de Astronomía”. 2ª edición. Prensas Universitarias de Zaragoza, 2017
3. CID, R. “Apuntes de Mecánica Celeste”,
4. DANBY, J. M. A. “Fundamentals of Celestial Mechanics”. MacMillan Company, 1970
5. DOCOBO, J. A. e ELIPE, A. “Astronomía: 280 problemas resueltos”. Servizo de Publicacións da USC, 1983
6. ELICES, T. "Introducción a la Dinámica Espacial". INTA, 1991
6. KOWALEVSKY, J. “Introduction to Celestial Mechanics”. Reidel Publishing Co., 1967
7. ORÚS, J.J., CATALÁ, M.A., e NUÑEZ DE MURGA, J. "Astronomía esférica y mecánica celeste". Universitat de Barcelona, 2007
8. ROY, A.E. "ORBITAL MOTION". Adam Hilger Ltd, 1978
9. TAFF, L.G. " CELESTIAL MECHANICS". John Wiley & Sons, 1985
10. VALLADO, D. A. " FUNDAMENTALS OF ASTRODYNAMICS AND APPLICATIONS". The McGraw-Hill Companies Inc, 1997
Complementary
11. BAKULIN, P.I., KONONOVICH, E. V., e V.I. MOROZ. "Curso de Astronomía General". Ed. MIR, 1983
12. BENACQUISTA, M. “An Introduction to the Evolution of Single and Binary Stars”. Springer, 2013
13. COUTEAU, P. “Esos astrónomos locos por el cielo”. Servizo de Publicacións da USC, 2013 (tradución de J. F. Ling)
14. GREEN, R. M. “Spherical Astronomy”. Cambridge University Press, 1985
15. HEINTZ, W. “Double Stars”. Reidel Publishing Co., 1978
16. KARTTUNEN, H., KRÖGER, P., OJA, H., POUTANEN, M. DONNER, K. J. “Fundamental Astronomy”. Springer, 2007
17. RYDEN, B. and PETERSON,B.M. "FOUNDATIONS OF ASTROPHYSICS". Cambridge University Press, 2021
18. DOCOBO, J.A., CAMPO, P.P, , GONZALEZ, J.R. "ASTRONOMÍS EN GALEGO, para aprender e desfrutar". Ed Lápices 4, 2021.
- Learning the application of Mathematics to Astronomy throughout History.
- The study of the fundamentals of Celestial Mechanics.
- The introduction to orbit calculation within both the Solar System and Double Stars.
- The application of the essential concepts of Analytical Mechanics to Astronomy.
CX1, CX3
CE1, CE2, CE3
CT1, CT3
The proposed evaluation tasks will evaluate the complete set of abilities developed in this course.
The course is structured in three types of sessions:
Expositive lessons: 30 h.
Interactive lessons: 12 h.
Tutorials 6h
In all Master degree classes, the student grades will be based on continuous evaluation and the completion of a final exam.
The continuous evaluation will be based on class participation, work assignments proposed by professors, student presentation of projects, tutorials, etc.
The final grade will not be inferior to that of the final exam nor to that obtained by average with the continual evaluation, assigning the last a weight of 100%.
In cases of fraudulent practices with exercises or tests, the application will be that of the Norms of evaluation of academic performance of the student and the review of grades.
Total hours in the classroom: 48 h.
Study time: 35 h.
Elaboration of works: 35 h.
It is recommended to have coursed the subject of Fundamentals of Astronomy
Jose Angel Docobo Durantez
Coordinador/a- Department
- Applied Mathematics
- Area
- Astronomy and Astrophysics
- Phone
- 881815027
- joseangel.docobo [at] usc.es
- Category
- Professor: LOU (Organic Law for Universities) Emeritus
Manuel Andrade Baliño
- Department
- Applied Mathematics
- Area
- Astronomy and Astrophysics
- Phone
- 982823319
- manuel.andrade [at] usc.es
- Category
- Professor: Temporary PhD professor
| Monday | |||
|---|---|---|---|
| 13:00-14:30 | Grupo /CLE_01 | Galician, Spanish | Classroom 10 |
| Tuesday | |||
| 13:00-14:30 | Grupo /CLIL_01 | Spanish, Galician | Classroom 10 |
| 01.24.2025 10:00-14:00 | Grupo /CLE_01 | Classroom 10 |
| 06.23.2025 10:00-14:00 | Grupo /CLE_01 | Classroom 10 |