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The ‘Quivering Sun’ Helioseismology The Physics of Music Why do various musical instruments sound so very different, even when they play exactly the same note? What makes a Stradivarius great? Why do the top notes on a piano sound ‘tinny’ and musically uninteresting, unlike the rich notes in the middle? Standing Waves Visit the following website: http://zonalandeducation.com/mstm/physics/waves/standingWaves/standingWaves1/StandingWaves1.html to see how‘harmonics’ (or ‘overtones’) accompany the fundamental vibration of a violin string. Watch the complex vibrations of a real guitar string: https://www.youtube.com/watch?v=ttgLyWFINJI More Than Just the Single Strings! Other factors enter: One vibrating string can set another one vibrating ‘sympathetically’ – it resonates. This is one reason that electronic pianos do not sound the same as ‘acoustic’ pianos (but the effects can be simulated). The whole body of the instrument also vibrates, contributing to the richness of the sound. Chladni He studied vibrations and nodes (places where there is no motion) on 2-dimensional surfaces, like the round or square head of a drum. In general, all these vibrational modes participate at once (to a greater or lesser degree) http://www.acs.psu.edu/drussell/Demos/MembraneCircle/Circle.html http://www.acs.psu.edu/drussell/Demos/MembraneSquare/Square.html This Applies From Small to Large These vibrational modes exist everywhere, all the way from small molecules like water (H2O) and benzene (C6H6) https://www.youtube.com/watch?v=1uE2lvVkKW0 (water) https://www.youtube.com/watch?v=NA9etutSt7A (benzene) up to the scale of the sun and stars (next slide). GONG The Global Oscillations Network Group http://gong.nso.edu Modes of vibration in the Sun! Helioseismology There are numerous modes, of varying scales and amplitudes. As in musical instruments (and molecules!), many modes of vibration may be happening at once. The sun ‘rings like a bell.’ To measure this activity, we take spectra of the light at umpteen points on the surface of the Sun (not just looking at the tops of individual convective cells, but also averaged over larger patches) and study the Doppler shifts to look for coherent up-and-down (in-and-out) motions. One Special Vantage Point Here, we can monitor the sun continuously for months! But Why Does the Sun ‘Jiggle’? On Earth, seismology depends on the fact that occasional earthquakes send shock waves through the solid body. These earthquakes are caused by energy flowing out from the hot core. The Earth does not need to be ‘tolled’ (struck) like a bell. Similarly for the sun: it does not need to be struck by infalling comets or asteroids (although that does happen from time to time). The complex churning motions within the sun explain the ongoing seismic activity. What Have We Learned? Helioseismology allows us to investigate the physical structure of the sun -- the temperature and density, etc -- right down into its innermost parts. (It is a complex analysis!) These can be interpreted to indicate how much hydrogen has so far been converted to helium in the centre, allowing us to test the correctness of the so-called SSM (Standard Solar Model); we can also deduce its age. The conclusions completely reinforce what we already knew! The Sun is about 4.6 billion years old, and is converting H to He in the way we described earlier – just as the neutrinos said. We are ready to address the stars!