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Kotov's Method (for...
 
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Kotov's Method (for finding commensurabilities)

 
Mathematics
Last Post by RayTomes 1 day ago
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 RayTomes
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[#730]
The Kotov method of commensurability is a statistical algorithm developed by Russian astrophysicist Valery A. Kotov in 1986. It evaluates how well a set of observed frequencies or periods (e.g., spin rates of planets or orbital periods of exoplanets) fit as integer multiples or fractions of a single fundamental baseline frequency. The technique relies on calculating a commensurability function (CF) across a range of test frequencies. By computing the least-squares fit of the ratios between the observed periods and a base period, the method generates a CF value for a given test frequency. A maximum peak in the commensurability spectrum represents the base period that provides the best integer synchronization for the entire system. Kotov originally applied this method to study the ≈ 160-minute global pulsation period of the Sun. He used the commensurability function to demonstrate that the rotation periods of planets, asteroids, and close binary stars are statistically synchronized to exact harmonics of this 160-minute "cosmic" oscillation.

Valery A. Kotov and Serge V. Kotov

"According to General Relativity, a stellar binary generates gravitational waves at a primary frequency twice the orbital one; these waves however have not yet been detected. If the Universe contains gravitational radiation at discrete frequency(ies) - particularly with the period of 160 minutes discovered in the 1970s in the Sun, corresponding resonances might be found in the distribution of orbital frequencies of binaries. With this in mind, we analyse all available data on orbital frequencies of close binaries of the Galaxy. In the frequency range 5 to 160 µHz, we find one significant frequency 104.2 µHz - at the 4 sigma confidence level -which modulates the distribution of about 5000 binaries with periods P < 5.5 d. The corresponding "resonant" period, 160.0 +/- 0.5 min, coincides with that of solar pulsation 160.0 min. The question on its origin and also the hypothesis of a cosmological nature of the oscillation are briefly discussed."


 
Posted : 22/07/2026 12:58 pm
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kotov kotov method commensurability 160 minutes
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