The Hum: log-normal distribution and planetary–solar resonance

2014

Pattern Recogn. Phys.

The complex planetary synchronization structure of the solar system, which since Pythagoras of Samos (ca. 570-495 BC) is known as the music of the spheres, is briefly reviewed from the Renaissance up to contemporary research. Copernicus' heliocentric model from 1543 suggested that the planets of our solar system form a kind of mutually ordered and quasi-synchronized system. From 1596 to 1619 Kepler formulated preliminary mathematical relations of approximate commensurabilities among the planets, which were later reformulated in the Titius-Bode rule (1766-1772) that successfully predicted the orbital position of Ceres and Uranus. Following the discovery of the ∼11 yr sunspot cycle, in 1859 Wolf suggested that the observed solar variability could be approximately synchronized with the orbital movements of Venus, Earth, Jupiter and Saturn. Modern research have further confirmed that: (1) the planetary orbital periods can be approximately deduced from a simple system of resonant frequencies; (2) the solar system oscillates with a specific set of gravitational frequencies, and many of them (e.g. within the range between 3 yr and 100 yr) can be approximately constructed as harmonics of a base period of ∼178.38 yr; (3) solar and climate records are also characterized by planetary harmonics from the monthly to the millennia time scales. This short review concludes with an emphasis on the contribution of the author's research on the empirical evidences and physical modeling of both solar and climate variability based on astronomical harmonics. The general conclusion is that the solar system works as a resonator characterized by a specific harmonic planetary structure that synchronizes also the Sun's activity and the Earth's climate. The special issue "Pattern in solar variability, their planetary origin and terrestrial impacts" further develops the ideas about the planetary-solar-terrestrial interaction with the personal contribution of 10 authors.

Section: Introductionmentioning

confidence: 71%

The complex planetary synchronization structure of the solar system

2014

Pattern Recogn. Phys.

“…In general, a planetary origin of solar and climate oscillations is based on numerous empirical evidences at multiple time scales and some preliminary physical explanations (e.g. : Abreu et al, 2012;Charvátová, 2009;Cionco and Soon, 2014;Hung, 2007;Jakubcová and Pick, 1986;Jose, 1965;McCracken et al, 2013McCracken et al, , 2014Mörner, 2013Mörner, , 2015Puetz et al, 2014;Salvador, 2013;Scafetta, 2010Scafetta, , 2012aScafetta, ,b, 2013Scafetta, , 2014aScafetta, , 2016Scafetta and Willson, 2013a,b;Sharp, 2013;Solheim, 2013;Tan and Cheng, 2013;Tattersall, 2013a;Wilson, 2013).…”

Section: Discussionmentioning

confidence: 99%

“…Indeed, the entire solar system appears to be synchronized by specific orbital resonances (cf. Scafetta, 2014b;Tattersall, 2013a). Thus, we hypothesize that the Hallstatt oscillation found in radionucleotide and climatic records could be the result of a specific orbital resonance within the solar system.…”

Section: Introductionmentioning

confidence: 89%

On the astronomical origin of the Hallstatt oscillation found in radiocarbon and climate records throughout the Holocene

Milani²,

Bianchini

et al. 2016

Earth-Science Reviews

An oscillation with a period of about 2100–2500 years, the Hallstatt cycle, is found in cosmogenic radioisotopes (14C and 10Be) and in paleoclimate records throughout the Holocene. This oscillation is typically associated with solar variations, but its primary physical origin remains uncertain. Herein we show strong evidences for an astronomical origin of this cycle. Namely, this oscillation is coherent to a repeating pattern in the periodic revolution of the planets around the Sun: the major stable resonance involving the four Jovian planets - Jupiter, Saturn, Uranus and Neptune - which has a period of about p = 2318 years. Inspired by the Milankovi´ c’s theory of an astronomical origin of the glacial cycles, we test whether the Hallstatt cycle could derive from the rhythmic variation of the circularity of the solar system assuming that this dynamics could eventually modulate the solar wind and, consequently, the incoming cosmic ray flux and/or the interplanetary/cosmic dust concentration around the Earth-Moon system. The orbit of the planetary mass center (PMC) relative to the Sun was used as a proxy.We analyzed how the instantaneous eccentricity vector of this virtual orbit varies from 13,000 BCE to 17,000 CE. We found that it undergoes kind of pulsations as it clearly presents rhythmic contraction and expansion patterns with a 2318 year period together with a number of already known faster oscillations associated to the planetary orbital stable resonances, which are theoretically calculated. These periods include a quasi 20-year oscillation, a quasi 60-year oscillation, the 82-97 year Gleissberg oscillation and the 159-185 year Jose oscillation. There exists a quasi p/2 phase shift between the 2100–2500 year oscillation found in the 14C record and that of the calculated eccentricity function. Namely, at the Hallstatt-cycle time scale, a larger production of radionucleotide particles occurs while the Sun-PMC orbit evolves from more elliptical shapes (e ≈ 0.598) to more circular ones (e ≈ 0.590), that is while the orbital system is slowly imploding or bursting inward; a smaller production of radionucleotide particles occurs while the Sun-PMC orbit evolves from more circular shapes (e ≈ 0.590) to a more elliptical ones (e ≈ 0.598), that is while the orbital system is slowly exploding or bursting outward. Since at this timescale the PMC eccentricity variation is relatively small (e = 0.594 ± 0.004), the physical origin of the astronomical 2318 year cycle is better identified and distinguished from faster orbital oscillations by the times it takes the PMC to make pericycles and apocycles around the Sun and the times it takes to move from minimum to maximum distance from the Sun within those arcs. These particular proxies reveal a macroscopic 2318 year period oscillation, together with other three stable outer planets orbital resonances with periods of 159, 171 and 185 years. This 2318 year oscillation is found to be spectrally coherent with the D14C Holocene record with a statistical confidence above 95%, as deter...

“…There a reader can find a review of the relevant research. This includes topics such as: Copernicus and Kepler's vision of a cosmographic mystery revealing a "marvelous proportion of the celestial spheres" referring to the "number, magnitude, and periodic motions of the heavens" (Copernicus, 1543;Kepler, 1596); the planetary rhythm of the Titius-Bode rule (Titius, 1766); the asteroid belt mirror symmetry rule (Geddes and King-Hele, 1983); the matrix of planetary resonances (Molchanov, 1968(Molchanov, , 1969a; the 2/3 synchronization of Venus axis rotation period with the Earth's orbital period so that at every inferior Venus-Earth conjunction the same side of Venus faces Earth (Goldreich and Peale, 1966); the existence of a mathematical relation linking planetary orbital parameters (Tattersall, 2013); the existence of several other celestial commensurabilities such as the quasi synchronization between the 27.3-year lunar orbital period with the 27.3-year Carrington solar rotation cycle as seen from Earth; and many others. The frequencies shown in Figure 5 represent the theoretical astronomical harmonics that could be reasonable expected to influence the climate.…”

Section: The Complex Planetary Synchronization Structure Of the Solarmentioning

confidence: 99%

Discussion on the spectral coherence between planetary, solar and climate oscillations: a reply to some critiques

2014

Astrophys Space Sci

During the last few years a number of works have proposed that planetary harmonics regulate solar oscillations. Also the Earth's climate seems to present a signature of multiple astronomical harmonics. Herein I address some critiques claiming that planetary harmonics would not appear in the data. I will show that careful and improved analysis of the available data do support the planetary theory of solar and climate variation also in the critiqued cases. In particular, I show that: (1) high-resolution cosmogenic 10Be and 14C solar activity proxy records both during the Holocene and during the Marine Interglacial Stage 9.3 (MIS 9.3), 325-336 kyear ago, present four common spectral peaks (confidence level 95 %) at about 103, 115, 130 and 150 years (this is the frequency band that generates Maunder and Dalton like grand solar minima) that can be deduced from a simple solar model based on a generic non-linear coupling between planetary and solar harmonics; (2) time-frequency analysis and advanced minimum variance distortion-less response (MVDR) magnitude squared coherence analysis confirm the existence of persistent astronomical harmonics in the climate records at the decadal and multidecadal scales when used with an appropriate window lenght (L=110 years) to guarantee a sufficient spectral resolution to solve at least the major astronomical harmonics. The optimum theoretical window length deducible from astronomical considerations alone is, however, L=178.4 years because the planetary frequencies are harmonics of such a period. However, this length is larger than the available 164-year temperature signal. Thus, the best coherence test can be currently made only using a single window as long as the temperature instrumental record and comparing directly the temperature and astronomical spectra as done in Scafetta (J. Atmos. Sol. Terr. Phys. 72(13):951-970, 2010) and reconfirmed here. The existence of a spectral coherence between planetary, solar and climatic oscillations is confirmed at the following periods: 5.2 year, 5.93 year, 6.62 year, 7.42 year, 9.1 year (main lunar tidal cycle), 10.4 year (related to the 9.93-10.87-11.86 year solar cycle harmonics), 13.8-15.0 year, 20 year, 30 year and 61 year, 103 year, 115 year, 130 year, 150 year and about 1000 year. This work responds to the critiques of Cauquoin et al. (Astron. Astrophys. 561:A132, 2014), who ignored alternative planetary theories of solar variations, and of Holm (J. Atmos. Sol. Terr. Phys. 110-111:23-27, 2014a), who used inadequate physical and time frequency analyses of the data