Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997a%26a...323..969s&link_type=abstract
Astronomy and Astrophysics, v.323, p.969-985
Astronomy and Astrophysics
Astrophysics
13
Sun: Prominences, Sun: Oscillations, Magnetic Fields, Waves
Scientific paper
The photosphere provides an important boundary condition for prominence support. The conservation of photospheric flux (sometimes called line tying) sets a serious constraint on the evolution of coronal magnetic fields. This boundary condition can only be communicated to the prominence by Alfven and magneto-acoustic waves. As a result, the boundary condition as experienced by the prominence at height h lags behind a time h/v_A_ (v_A_: Alfvenspeed) as compared to the instantaneous situation at the location of the photosphere. In this paper I study vertical oscillations and stability of prominences, taking retardation effects into account. An equation of motion for a Kuperus-Raadu prominence is derived, describing the prominence as a line current and the photosphere as a perfectly conducting plate. Solving this equation of motion implies solving the full time-dependent Maxwell equations, thus guaranteeing a realistic field evolution under the assumption of photospheric line tying. In terms of the currents that flow, such a description is equivalent to the corresponding MHD picture. The results indicate that the travel time h/v_A_ is an important parameter of the system as it influences the decay or growth times of prominence oscillations greatly. A new kind of instability is found, whereby the prominence experiences oscillations growing in time, even in the nonlinear regime. This instability occurs when the travel time h/v_A_ is comparable to or greater than the oscillation period. Also, forced oscillations can only be significant for rather precisely matched values of h/v_A_ and the driving period.
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