Original title:
Wave excitation at Lindblad resonances using the method of multiple scales
Authors:
Horák, Jiří Document type: Papers Conference/Event: RAGtime /17.-19./, Opava (CZ), 20151117
Year:
2017
Language:
eng Abstract:
In this note, the method of multiple scales is adopted to the problem of excitation of non–axisymmetric acoustic waves in vertically integrated disk by tidal gravitational fields. We derive a formula describing a waveform of exited wave that is uniformly valid in a whole disk as long as only a single Lindblad resonance is present. Our formalism is subsequently applied to two classical problems: trapped p–mode oscillations in relativistic accretion disks and the excitation of waves in infinite disk.
Keywords:
disk dynamics; Lindblad resonances; perturbation methods Project no.: GA17-16287S (CEP) Funding provider: GA ČR Host item entry: Proceedings of RAGtime 17/19: Workshops on black holes and neutron stars, ISBN 9788075102577, ISSN 2336-5668