Astronomy and Astrophysics – Astrophysics
Scientific paper
Sep 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995a%26a...301..483s&link_type=abstract
Astronomy and Astrophysics, v.301, p.483
Astronomy and Astrophysics
Astrophysics
10
Hydrodynamics, Sun: Atmosphere, Sun: Oscillations, Stars: Atmospheres, Stars: Oscillations
Scientific paper
The paper deals with some selected properties of linear 1-D resonance oscillations of plane stratified atmospheres. First, we study the response of a bounded isothermal atmosphere to a velocity pulse injected at the bottom of the atmosphere. For a family of pulses, we calculate the Lagrangian density perturbation at the bottom as this quantity indicates the response of the whole atmosphere. The analytical expressions give insight into details of the onset and the decay of the oscillation for finite times. We find that the principle asymptotic term governs the resonance oscillation only at large times. Further, we consider the influence of weak radiative damping on the oscillation. To study conditions for the existence of a resonance oscillation in non-isothermal atmospheres, we use transformations of the wave equation. By suitable transformations of the wave equation of a non-isothermal atmosphere to the wave equation of the homogeneous gas, we obtain some particular temperature stratifications which do not show the resonance oscillation. The solution of the wave equation of polytropic atmospheres with negative half-integral index is discussed. By transformations of the wave equation to the wave equation of the isothermal atmosphere, we obtain temperature structures of atmospheric layers the dynamical behavior of which is equal to the behavior of the isothermal atmosphere. Further, we determine temperature stratifications which do not produce a real resonance oscillation, but significant distortions of sharp pulses.
Fleck Bernard
Schmitz Felix
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