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The effects associated with the displacement of the center of gravity of the solar system under the influence of giant planets (Jupiter and Saturn) are discussed. Based on the hypothesis of parametric resonance in the variation of global temperature with disturbances in the photosphere shape and the Earth-to-Sundistance due to the oppositions of said planets, a regression model that explains the observed long-term evolution of global temperature is built. It was shown that residuals of the model are close to white noise, i.e. the hypothesis almost entirely explains the effect of temperature increase for the period presented in the vernacular crutem3 database.

The observed variability of global temperature [_{2} [

Based on simple numerical estimates, one can easily obtain the mean displacement of the center of gravity of the solar system relative to the center of the Sun that is equal to 5/4 of its radius. The oppositions of two heaviest planets in the solar system (Jupiter and Saturn) repeated at a frequency of about half the frequency of revolution of Saturn around the Sun (1/29.46 years), as is easily seen, can cause this kind of bias by a value of about 1.64 of solar radii. This can, in turn, determine a significant asymmetry in the distribution of the photosphere, i.e. Sun’s radiation pattern, as well as change in the Earth-to-Sundistance by about 0.67%. Such variations are equivalent to a change in the solar constant value of about 20 W/m^{2}, despite the fact that energy equivalent of the anthropogenically caused greenhouse effect is equal, according to the authors [^{2}). Such changes are bound to lead to changes in the parameters of the oscillatory energy-balance system of the Earth, primarily due to the albedo oscillations caused by the total cloud amount. These fluctuations have to cause parametric resonance at the frequencies corresponding to the doubling of the period of oscillations caused by oppositions of Jupiter and Saturn. Based on these considerations, the following regression model was built for the global temperature:

where: IGT is a global temperature deviation from the climatic norm;

orbital period around the Sun), Rez(t) is residual of the simulation.

The amount of (1) is limited by the superscript two due to the limitations of the full extent of seriesby 160 years. When preparing the data, it was revealed that the crutem3 [

It is important to note that the residuals of the model (1) are a succession close to white noise: the Durbin- Watson statistic is 2.14 for it, and the coefficient of determination of the integrated periodogram of the straight line passing through the origin of coordinates is equal to 90%.

The main contribution to long-term changes in global temperature is formed by the parametric resonance phenomenon along with the phenomenon of oppositions of Jupiter and Saturn giant planets. The contribution of such planets as Uranus and Neptune cannot be determined today using the regression modeling techniques due to the limited succession of observations and its small length of time in comparison with the periods of the parametric resonance of said planets (about 330 years).

Even more this limitation relates to the oppositions of the giant planets of a ratio being higher than 2, i.e. to the oppositions involving three or more giant planets.

This paper was partially supported by the RFBR grant No. 13-05-01036a.

Kruchenitsky Gregory Mikhailovich,Statnikov Konstantin Andreevich,Zakharov Vladimir Matveevich, (2016) About the Influence of the Giant Planets on Long-Term Evolution of Global Temperature. Journal of Geoscience and Environment Protection,04,172-174. doi: 10.4236/gep.2016.47018