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Solar magnetic activity is expressed via variations of sunspots and activeregions varying on different timescales. The most accepted is an 11-year periodsupposedly induced by the electromagnetic solar dynamo mechanism. There arealso some shorter or longer timescales detected: the biennial cycle (2-2.7years), Gleisberg cycle (80-100 years), and Hallstatt's cycle (2100-2300years). Recently, using Principal Component Analysis (PCA) of the observedsolar background magnetic field (SBMF), another period of 330-380 years, orGrand Solar Cycle (GSC), was derived from the summary curve of two eigenvectorsof SBMF. In this paper, a spectral analysis of the averaged sunspot numbers,solar irradiance, and the summary curve of eigenvectors of SBMF was carried outusing Morlet wavelet and Fourier transforms. We detect a 10.7-year cycle fromthe sunspots and modulus summary curve of eigenvectors as well a 22 years cycleand the grand solar cycle of 342-350-years from the summary curve ofeigenvectors. The Gleissberg centennial cycle is only detected on the full setof averaged sunspot numbers for 400 years or by adding a quadruple component tothe summary curve of eigenvectors. Another period of 2200-2300 years isdetected in the Holocene data of solar irradiance measured from the abundanceof $^{14}$C isotope. This period was also confirmed with the period of 2100years derived from a baseline of the summary curve, supposedly, caused by thesolar inertial motion (SIM) induced by the gravitation of large planets. Theimplication of these findings for different deposition of solar radiation intothe northern and southern hemispheres of the Earth caused by the combinedeffects of the solar activity and solar inertial motion on the terrestrialatmosphere are also discussed.

Periodicities of solar activity and solar radiation derived from observations and their links with the terrestrial environment