Abstract
The theory of gravity says that a binary with orbital frequency ν should be a source of gravitational waves at the double frequency and higher harmonics. This implies that long-term exposure of an ensemble of binaries to gravity waves with frequency ν G can result in (a) a lack of binaries with frequencies near frequency ν G /2 and its higher harmonics (the effect of unstable orbits) and/or (b) an excess of binaries whose orbital frequencies are “absolutely” incommensurable with ν G /2 and its higher harmonics (the effect of stable orbits). It is assumed that the stable-orbit frequencies are almost equal to multiples of πν G /2 and ν G /2π, where π plays the role of a “perfect” factor ensuring the best antiresonance of binaries. The statistical analysis of frequencies of 5774 Galactic close binary systems (CBSs) with periods P less than 10 days is based on calculating the resonance spectrum that indicates the best common multiple for a given set of frequencies with allowance for the factor π. The CBS distribution turns out to be modulated by the frequency ν G = 104.4(5) μHz, and this effect is the most pronounced for superfast and compact rotators, such as cataclysmic variables (CVs) and related objects. The frequency ν G is, within the error, equal to the “enigmatic” frequency ν0 = 104.160(1) μHz com discovered earlier in the power spectra of the Sun and brightness variations of some extragalactic sources. This confirms the existence of a “coherent cosmic oscillation” of the Universe with frequency ν0(ν G ). The new astrophysical phenomenon naturally explains an “CV period gap” at frequencies ≈πν G /3 (P ≈ 153 min) and maxima at the neighboring frequencies ≈πν G /2 and ≈πν G /4 (P ≈ 102 and ≈204 min, respectively). The remarkable and “mysterious” role of the transcendental number π for the world of binaries is emphasized, and the mystery of physical nature of the “universal” oscillation ν0(ν G ) is highlighted.
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Original Russian Text © V.A. Kotov, 2008, published in Izvestiya Krymskoi Astrofizicheskoi Observatorii, 2008, Vol. 104, pp. 170–185.
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Kotov, V.A. The Sun and the transcendental world of binaries. Bull.Crim. Astrophys. Observ. 104, 125–136 (2008). https://doi.org/10.3103/S0190271708010166
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DOI: https://doi.org/10.3103/S0190271708010166