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
1. ABAD, A. "Astrodinámica". Bubok Publishing S. L., 2012.
2. ABAD, A., DOCOBO, J. A. e ELIPE, A. “Curso de Astronomía”. Prensas Universitarias de Zaragoza, 2002
3. BENACQUISTA, M. “An Introduction to the Evolution of Single and Binary Stars”. Springer, 2013
4. CID, R. “Apuntes de Mecánica Celeste”
5. COUTEAU, P. “Esos astrónomos locos por el cielo”. Servizo de Publicacións da USC, 2013 (tradución de J. F. Ling)
6. DANBY, J. M. A. “Fundamentals of Celestial Mechanics”. MacMillan Company, 1970
7. DOCOBO, J. A. e ELIPE, A. “Astronomía: 280 problemas resueltos”. Servizo de Publicacións da USC, 1983
8. HEINTZ, W. “Double Stars”. Reidel Publishing Co., 1978
9. KARTTUNEN, H., KRÖGER, P., OJA, H., POUTANEN, M. DONNER, K. J. “Fundamental Astronomy”. Springer, 2007
10. KOWALEVSKY, J. “Introduction to Celestial Mechanics”. Reidel Publishing Co., 1967
11. GREEN, R. M. “Spherical Astronomy”. Cambridge University Press, 1985
- 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.
Efficiency from theory and problems lessons: 50%
Works performed by the students: 30%
Practices: 20%
Continual evaluation in the classroom taking into account the work.
Final evaluation by means of a presentation or a written examination.
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.
The course is structured in three types of sessions:
Expositive lessons: 36 h.
Interactive lessons: 12 h.
Total hours in the classroom: 48 h.
Study time: 35 h.
Elaboration of works: 35 h.
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The contingency plan for the adaptation of this guide to the Bases document for the development of safe presential teaching during the 2020-2021 course was approved by the Government Council of USC on June 19, 2020.
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Jose Angel Docobo Durantez
Coordinador/a- Department
- Applied Mathematics
- Area
- Astronomy and Astrophysics
- Phone
- 881815027
- joseangel.docobo [at] usc.es
- Category
- Professor: University Professor
Manuel Andrade Baliño
- Department
- Applied Mathematics
- Area
- Astronomy and Astrophysics
- Phone
- 982823319
- manuel.andrade [at] usc.es
- Category
- Professor: Temporary PhD professor
| Monday | |||
|---|---|---|---|
| 13:00-14:00 | Grupo /CLE_01 | Galician, Spanish | Classroom 10 |
| Tuesday | |||
| 13:00-14:00 | Grupo /CLIL_01 | Spanish, Galician | Classroom 10 |