Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science
Study Cycle: Master
SUBJECT

Code	Subject	
MMM1008	Planetary system dynamics	

Section	Semester	Hours: C+S+L	Category	Type	
Mathematics Computational - in Hungarian	3	2+2+0	speciality	optional	
Didactic Mathematics - in Hungarian	3	2+2+0	speciality	optional	
Interdiciplinary Computational - in Hungarian	3	2+2+0	speciality	optional	

Teaching Staff in Charge	Assoc.Prof. SZENKOVITS Ferenc, Ph.D., fszenko@math.ubbcluj.ro	
Aims	The aim of this cours in to offer modells and methods adecvate to study the dynamics of planetary systems, with spetial attention to stability and chaoticity.
The absolvents of this cours will be able:
- to use adecvate models and methods of the celestila mechanics for different concret planetary systemc;
- to determine orbital elements from observational data;
- to determinate ephemerides for planets;
- to detect chaoticity in the specific dynamical systems.	
Content	1. Orbit determination
    1.1. Distance determination from three observations
    1.2. The Gaussian equations
    1.3. Orbitale elements
    1.4. Position determination from four observations
    1.5. Orbital corrections
    1.6. The Herget method
2. Planetary dynamics
    2.1. Planets
    2.2. Natural satellites
    2.3. Asteroids
3. The motins of the Moon
    3.1. The Delaunay theory
    3.2. The Hill&#8212;Brown theory
    3.3  Hill@s periodical sollutions
    3.4. The Hill differential equation
    3.5. Motion of the perigee of the Moon
    3.6. The apsidal line of the Moon orbit
    3.7. The general sollution of the Hill-Brown Theory
4. Extrasolar planetary systems
    4.1. Detection
    4.2. Formation
    4.3. Rezonant perturbations
    4.4. Regular and chaotic motions
    4.5. Numerical tools for chaos detection
    4.6. Planets in Binary systems	
Bibliography	1. Beutler, Gerhard: Methods of celestial mechanics, I&#8212;II, Springer, 2005.
2. Boccaletti, D. &#8211; Pucacco, G.: Theory of orbits, Vol. 1&#8212;2, Springer, Berlin Heidelberg, 1996, 1998.
3. Contopoulos, George: Order and Chaos in Dynamical Astronomy, Springer, 2002.
4. Diacu, F. &#8211; Holmes, P.: Întâlniri cereşti &#8211; originea haosului şi a stabilităţii, Soc. Ştiinţă şi Tehnică SA, Bucureşti,1996. 
5. Drâmbă, Constantin: Elemente de mecanică cerească, Bibl. SSMF, Bu
1. Érdi Bálint: Égi mechanika, Tankönyvkiadó, Budapest, 1992. 
2. Érdi Bálint: Égi mechanika, II. Rész, A Hold mozgása, Tankönyvkiadó, Budapest, 1974. 
3. Érdi Bálint: A Naprendszer dinamikája, ELTE Eötvös Kiadó, Budapest, 2001.
4. Roy, A. E.: Orbital motion, Third Edition, Adam Hilger, Bristol and Philadelphia, 1988. 
cureşti, 1958.	
Assessment	Evaluation in seminaries (33%);
Individual project (33%);
Final test (33%).