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.
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
3) BINARY AND MULTIPLE STARS
3a. Types of binary systems
3b. Orbital elements
3c. Orbit and stellar masses calculation
3d. Binary Star evolution
4) ANALYTICAL MECHANICS CONCEPTS
4a. Hamiltonian form of motion equations
4b. Canonical transformations
4c. The deduction of the Delaunay variables
5) THE N-BODY PROBLEM
5a. Classical integrals
5b. The three-body problem
5c. Integrable cases
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
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
- 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
Continual evaluation in the classroom taking into account the work.
Final evaluation by means of a written examination if necessary.
For cases that involve fraudulent exercises or tests, the Normative regarding the evaluation of the academic performance of the students and a review of their qualifications will be applied.
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
The contingency plan for the adaptation of this guide to the Bases document for the development of safe presential teaching during the 2021-2022 course was approved by the Government Council of USC on April 30, 2021.
The USC plan involves three teaching scenarios for the 2021-2022 academic year as a result of the Covid-19 issue. Scenario 1 corresponds to a state of complete normalcy in which traditional teaching will be practiced.
Scenario 2 involves both in-person and on-line teaching. The Administration will limit the in-person attendance classes to the lowest numbers possible and carry out the rest of the teaching via the TEAMS platform.
If the academic authorities must apply more strict measures due to pandemic conditions, Scenario 3 will be instituted which will establish on-line teaching as mentioned above as well as electronic mail as the teaching delivery methods.
The evaluation procedure would be independent of the scenario.
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 | Spanish | Classroom 10 |
| Tuesday | |||
| 13:00-14:30 | Grupo /CLIL_01 | Galician, Spanish | Classroom 10 |