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The surface of a sphere, like the sun, can only oscillate in certain
ways. The mode of oscillation is defined by the number of latitudinal
and longitudinal nodal planes. This applet gives a redshift/blueshift
snapshot view of the sun as it vibrates in one of these modes. (The
real sun vibrates in multiple modes simultaneously, each mode typically
having a different amplitude.) Observing the amplitudes of the various
solar oscillation modes is a way to look inside the sun. (Density
variations can be inferred from the relative amplitudes of the various
oscillation modes, for example.)
You can use the scroll bars to change the nodal plane numbers. When
you do, it will take the applet a few seconds to re-calculate the
image. I also have a
dynamic version of this applet
accessible via a fill out form.
This is a translation of John Kennewell's
BASIC program appearing in the
"Astronomical Computing" section of Sky & Telescope,
June 1997, pages 91-94. See that article for more information, and see
Sky & Telescope's
list for all their astronomical BASIC programs.
This program inspired me to re-read the chapter in my "Boundary Value
Problems" book which winds up with Legendre polynomials. That's how
one figures out where the nodal planes must be.
For another astronomy-related JAVA applet, see the exploding satellites
in my relativistic orbit simulation.
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