Normal Modes of the Sun, Including the 11-Year Cycle

V. N. Oraevskii and N. S. Dzhalilov

Institute of Terrestrial Magnetism, Aeronomy, and Radio Wave Propagation, Russian Academy of Sciences,
Troitsk, Moscow oblast, 142092 Russia

Received January 12, 1996

Abstract—The possibility that ultra-low-frequency oscillations can be trapped in the core of the Sun is exam-
ined. The differentially rotating solar core is shown to be a Rossby oscillation resonator. The lower boundary
of this resonator is at the center of the core, while the upper boundary corresponds to the base of the convection
zone. Eigenfunctions and a set of eigenfrequencies for this resonator are calculated with asymptotic theory. In
a modern model of the Sun, 11-year oscillations with sufficiently low wavelengths are shown to be normal
modes of the core, offering an explanation of the cyclicity of solar activity.

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