Beats in the Solar 5 minute Oscillatons.

The solar 5 minute oscillations are due to very fast sound waves that internally refract and reflect inside the Sun. They vibrate at various rates according to how many divisions of longitude and latitude there are in each mode. See for example GONG project http://gong.nso.edu/

Because the individual modes have similar periods, the stronger modes are mostly around 5 to 6 minutes, but weaker modes range from about 3 to 11 minutes, it is interesting to look at whether there are "beats" between the different modes, that is, whether all the modes tend to come together after some particular intervals of time. I investigated this. The analysis is the same method as described previously as Kotov's communalities, except that each mode was not treated as equal, but was weighted by how strong that particular mode is. These are the periods of most of the main modes found arranged in a table. Note ratios of 2 horizontally and of 3 vertically. All in minutes.

5931 ---- 1484 742.2
1979 989.6 494.8 247.4 123.7
---- ---- 164.9 82.5

Also found was a longer period of 6.53 days. This is similar to the rotational quantum identified in the Sun and slowly rotating planets.

The faster periods fit with the quantum for the faster rotating planets, as well as the quanta derived from the distances of the planets from the sun. The solar oscillation of 160.01 minutes is different from the 164.9 minute beat frequency by about one cycle. There are actually multiple peaks surrounding each of the above periods, so that a peak at close to 160.0 minutes is there. This is similar to the multiple peaks in Tifft's measurement of the 72.45 +/- 0.30*n km/s (with n a small integer) that I mentioned before.