Researches on the Mathematical Insolation (I)

Abstract

The amount of direct solar radiation upon four vertical planes oriented to N, S, E, W, also upon vertical cylinder and sphere during any period at any place on earth can be computed by mathematical formula expanded into series, the atmosphere being neglected. In case of vertical planes, somewhat similar to Milankovitch's method concerning a horizontal plane, but in other cases the computation was carried out in an original method. In considering the atmospheric absorption the amount was obtained by numerical integral from every day's value which was similarly obtained from every hour's value, in cases of atmospheric trans. coeff. P=0.6, 0.7, 0.8, 0.9, and 1.0. The author, has given all the necessary coefficients for expansion and the synoptical charts illustrating the summer and winter half years and of total year periods amount as well as of the annual variation of one day's amount for every 10 degrees of latitude from 0° to 90°, and for P=0.6, 0.7, 0.8, 0.9 and 1.0.