Long-Period Oscillations of Sunspots Observed by SOHO/MDI

We processed magnetograms that were obtained with the Michaelson Doppler Imager onboard the Solar and Heliospheric Observatory (SOHO/MDI). The results confirm the basic properties of long-period oscillations of sunspots that have previously been established and also reveal new properties. We show that the limiting (lowest) eigenmode of low-frequency oscillations of a sunspot as a whole is the mode with a period of 10?–?12 up to 32?–?35 hours (depending on the sunspot’s magnetic-field strength). This mode is observed consistently throughout an observation period of 5?–?7 days, but its amplitude is subject to quasi-cyclic changes, which are separated by about 1.5?–?2 days. As a result, the lower mode with a period of about 35?–?48 hours appears in the power spectrum of sunspot oscillations. But this lowest mode is apparently not an eigenmode of a sunspot because its period does not depend on the magnetic field of the sunspot. Perhaps the mode reflects the quasi-periodic sunspot perturbations caused by supergranulation cells that surround it. We also analyzed SOHO/MDI artifacts, which may affect the low-frequency power spectra of sunspots.