Harmonic Beats of the Solar 5 Minute Oscillations |
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The method of analysis was to consider all the more energetic 5 minute oscillation frequencies weighted by their relative power. Possible beat frequencies were tested by dividing each oscillation frequency by the test frequency and taking the difference from the nearest integer as an error. The errors were weighted by the power of the oscillation mode and totalled for that test frequency. If a significantly low error total was found then the test frequency was considered to be a real beat frequency of the modes. Actually it may be considered that the discovered frequencies came first and that the harmonics of them are the various 5 minute oscillations.
The most dominant frequency found was 67.37x10^-6 Hz (=1/247.4 minutes). Most of the other frequencies found were related to this by small powers of 2 and 3 and their combinations as follows (periods in minutes):
1484 742.2 Note ratios of 2 horizontally 1979 989.6 494.8 247.4 123.7 and of 3 vertically 164.9 82.5
Of course the sun also has an oscillation of 160.0 minutes. The beat period near this (164.9 minutes) may be related. In paper RT113 it was shown that the planets come in two families with distance quanta of 0.35 and 9.8 astronomical units. These correspond to light times of 2.91 and 81.5 minutes, which would be the nodal distances of waves of length 5.82 and 163.0 minutes.
The beat periods of the 5 minute oscillations can then be added to the many other observed periods near 80/160 minutes. They also allow a more accurate determination of the periods and the possible link with known periods in the years range based on the Author's Harmonic Theory (see RT103). An important period is 35.60 years and this is found to be linked to this range by the relationship
4 3 2 1 35.60 years / (2 3 5 7 ) = 247.67 +-.25 minuteswhich agrees well with the 247.4 minutes found here. This connection has a 3% probability of such a good match occurring by chance alone with reasonable values for the prime powers in the above equation.
It is the Author's opinion that electromagnetic standing waves of the above periods exist centred on the sun. These explain the planetary and asteroidal distances from the sun and indicate that the solar system is more certainly stable than previously believed. Other planetary systems are highly likely to have planets at the same distances from their sun.