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<http://astraiosdb.utwente.nl/data/course/2443> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://purl.org/vocab/aiiso/schema#Course> . <http://astraiosdb.utwente.nl/data/course/2443> <http://www.w3.org/2000/01/rdf-schema#label> "Stellar pulsations"@en . <http://astraiosdb.utwente.nl/data/course/2443> <http://gch.utwente.nl/ontology#knowledgeArea> <http://astraiosdb.utwente.nl/data/knowledge_area/14> . <http://astraiosdb.utwente.nl/data/course/2443> <http://gch.utwente.nl/ontology#credits> "5" . <http://astraiosdb.utwente.nl/data/course/2443> <http://gch.utwente.nl/ontology#description> "Basic concepts and mathematical issues: oscillation mode, radial and non-radial pulsations,\nspherical harmonics, basic coordinate systems and transformations between them, the\nEulerian and Lagrangian description, perturbation of the surface element and its normal.\nTypes of pulsating variables: stellar pulsations across the Hertzsprung-Russell diagram,\ninstability domains, basic properties of different types. Oscillation properties: the Lamb and\nBrunt-Vaisala frequency, acoustic and gravitational modes, propagation diagrams, conditions\nfor trapping of modes, pulsation constant, period-luminosity relation. Mathematical\ndescription of pulsations: general equations of hydrodynamics, linear non-radial non-\nadiabatic pulsations, boundary conditions, adiabatic and quasi-adiabatic approximation,\nSturm-Liouville type problem, variational principle, asymptotic dispersion relations.\nExcitation mechanism: Eddington valve mechanism, self-excitation (opacity) mechanism,\nwork integral, stochastic excitation by turbulent convection. Detection of pulsating stars:\nFourier methods, statistical methods, wavelet analysis. Observed characteristics and\nidentification of pulsation modes: light variations of a pulsating star, changes of radial\nvelocity, modelling of line profile variations, methods of the mode identification from\nphotometry and spectroscopy. Basic effects of rotation: advection, rotational splitting of\nmodes, Coriolis force, Ledoux constant, effects of moderate rotation, centrifugal force. 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