. "Celesial mechanics 1-4"@en . . "8" . "Semester 1: General perturbaion theory\nCanonical perturbaion theory: Hamilton-Jacobi method, acion-angle variables. The fundamental theorem of perturbaion theory, Delaunay's lunar theory and eliminaion method. Poincaré-Zeipel method. Theory of resonant perturbaions. Lie transform perturbaion theory. Superconvergent perturbaion theory. Ordered and chaoic moions: KAM theory.\nOrdered and chaoic orbits in the restricted three-body problem. Lyapunov indicators. Poincaré mappings. Hénon-Heiles problem. Symplecic mappings, symplecic integrators.\nSemester 2: Dynamics of planetary systems\nResonances of irst and second order. Resonant encounters, capture into and passing through a resonance. Muliple resonances.Resonances in the Solar System.\nDynamics of the Solar System: Moion of giant planets. Stability of the Solar System. Rotaion of the planets and moons. Dynamics of resonant asteroids.\nExoplanetary systems: Dynamical classiicaion of muliple planetary systems. Resonant, interacing and hierarchical systems. Planet-disk interacions. Stability of exoplanetary systems.\nSemester 3: The three-body problem\nThe general three-body problem: Equaions of moion and irst integrals. The Lagrange-Jacobi equaion. Classiicaion of inal coniguraions. The Euler-Lagrange soluions.\nThe restricted three-body problem: Equaions of moion, the Jacobi-integral. Equilibrium soluions and their stability. Zero velocity curves. Regularizaion transformaions. Periodic and numerical soluions. The ellipic restricted three-body problem. The Hill-problem.\nSemester 4: Theory of ariicial satellites\nThe gravitaional potenial. Terrestrial gravitaional perturbaions.\nLunisolar perturbaions. Non-gravitaional perturbaions." . . "Presential"@en . "TRUE" . . "Classical Mechanics"@en . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . "Master in Astronomy"@en . . "https://www.elte.hu/en/astronomy-msc" . "120"^^ . "Presential"@en . "The objective of the Astronomy Master's Degree Program is to provide a comprehensive knowledge of astronomy including related interdisciplinary areas. Students will also acquire competencies in the wider field of scientific research, in the use of technical language, in team work and in the communication of scientific results, they will also develop an ability to resolve novel or unusual problems arising in a multidisciplinary context.\n\nThe objective of the Astronomy MSc programme is the formation of fully trained astronomers and astrophysicists capable of supervised observational and theoretical research in astronomy and related fields."@en . . "2"@en . "FALSE" . . "Master"@en . "Thesis" . "8380.00" . "Euro"@en . "8380.00" . "Mandatory" . "Career opportunities\r\nAfter completing the requirements listed above, students are awarded an MSc degree. The MSc degree qualifies its holder to take up positions in the relevant fields and to enlist to a postgraduate (PhD) study programme.\r\n\r\nJob examples\r\nPostgraduate (PhD) studentships at a Hungarian, European or international university research assistant's positions at a Hungarian, European or international research institute industry positions where a strong training in IT, signal processing, physics and electromagnetic wave analysis are an advantage, including telecommunications, computer technology, software companies, air control, satellite communications, etc."@en . "1"^^ . "FALSE" . "Upstream"@en . . . . . . . . . . . . . . . . . . . . . . . .