"Babes-Bolyai" University of Cluj-Napoca
Faculty of Mathematics and Computer Science

Celestical Mechanics
Code
Semes-
ter
Hours: C+S+L
Credits
Type
Section
MM004
8
2+2+0
7.5
optional
Matematică
MM004
8
2+2+0
7.5
optional
Matematică-Informatică
Teaching Staff in Charge
Lect. SZENKOVITS Ferenc, Ph.D., fszenko@math.ubbcluj.ro
Assoc.Prof. BARBOSU Mihai, Ph.D., mbarbosu@math.ubbcluj.ro
Aims
The thoroughgoing study of unperturbed (keplerian) motion of celestial bodies. Solving general problems of Celestial Mechanics and Space Dynamics using some specific mathematical methods. The application of these results for the analysis of some concret problems in the dinamics of celestial bodies. Qualitative and topological methods used in celestial mechanics will be also presented. Computer simulations for the motion of natural and artificial celestial bodies will be performed.
References
1. Arnold, V., Kozlov, V.V., Neishtadt, A. - Mathematical Aspects of Classical and Celestial Mechanics, translated from the Russian by A. Iacob, Mir. Publishers, Moscow, 1988.
2. Brouwer, D. Clemence, G.M. - methods of Celestial Mechanics, Academic Press, New York, 1961 (trad. in l. rusa, Ed. Mir, Moscova, 1964)
3. Dramba, C. - Elemente de mecanica cereasca, Ed. Tehnica, Bucuresti, 1958.
4. Duboshin, G.N. - Nebesnaya Mechanika. Osnovnie zadaci i metodi, Izd. Nauka, Moskva, 1963, 1968.
5. Duboshin, G.N. - Analiticeskie i kacestvennie metodi, Idem, 1964.
6. Érdi Bálint: Égi mechanika. Tankönyvkiadó, Budapest, 1992.
7. Érdi Bálint: A Napredszer dinamikája, ELTE Eötvös Kiadó, Budapest, 2001.
8. Grebenicov, E.A., Ryabov, Yu.A. - Constructive Methods in the Analysis of Nonlinear Systems, Mir Publishers, Moscow, 1983.
9. Oproiu, T., Pal, A., Pop, V., Ureche, V. - Astronomie. Culegere de exercitii, probleme si programe de calcul, Univ. Babes-Bolyai din Cluj-Napoca, 1985, 1989.
10. Roy, A.E. - Orbital ,Motion, Third Edition, Adam Hilger, Bristol and Philadelphia, 1988.
Assessment
Activity at the seminaries (40%).
Exam at the end of the term (60%).