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Delve into the fascinating field of helioseismology, exploring the Sun's oscillations and the spectrum estimation methods used. Discover the history of stellar oscillations, observe the Sun's vibrational patterns, and unravel the intricacies of spherical waves. Learn how acoustic waves are trapped within the Sun, leading to a meticulous spectrum analysis that unveils over 250,000 distinct modes. Explore the regularity of the Sun's spectrum, the prediction of energy propagation, and the nuances of 5-minute oscillations excited by convection. Engage with advanced concepts and data analysis techniques to decode the vibrational secrets of our star.
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Spectrum Estimation in Helioseismology P.B. Stark Department of Statistics University of California Berkeley CA www.stat.berkeley.edu/~stark
Acknowledgements • Most figures pirated from Global Oscillations Network Group (GONG) and Solar and Heliospheric Observer (SOHO) Solar Oscillations Investigation websites • Much work joint withI.K. Fodor (LLNL), D.O. Gough (Cambridge), Y. Gu (GONG), R. Komm (GONG), C.R. Genovese (Carnegie-Mellon), T. Sekii (Cambridge), M.J. Thompson (Queen Mary and Westfield College).
The Sun Vibrates • Stellar oscillations known since late 1700s. • Sun's oscillation observed in 1960 by Leighton, Noyes, Simon. • Explanation as trapped acoustic waves by Ulrich, Leibacher, Stein, 1970-1.
Pattern is Superposition of Modes • Like vibrations of spherical guitar string • 3 “quantum numbers” l, m, n • l and m are spherical surface wavenumbers • n is radial wavenumber
Spectrum is very Regular • Explanation as modes predicts details of spectrum • Details confirmed in data by Deubner, 1975 • Over 107 modes predicted • Over 250,000 identified • Will be over 106 soon
“5-minute” oscillations • Takes a few hours for energy to travel through the Sun. • p-mode amplitude ~1cm/s • Brightness variation ~10-7 • Last from hours to months • Excited by convection 40-day time series of mode coefficients, speeded-up by a 42,000. l=1, n=20; l=0, 1, 2, 3 Source: Kosovichev, SOHO