### The Dynamics of Average Temperature of Earth's Surface and Thermo-Balance of Heat Fluxes Suggest a Quasi-Periodicity

**Authors:** Sergey V. Ershkov

**Comments:** 14 Pages. Keywords: Earth's surface temperature; thermo-balance; Greenhouse effect

An independent heat source inside the system “Earth + atmosphere”, in addition to Earth’s heating by solar radiation, is required to account for differences between the measured and calculated values of Earth’s average surface temperature. A mathematical model of thermo-balance for Earth’s heat fluxes is used for the calculations reported here. Using well-known data (albedo of the Earth’s surface, constant of the heat radiation from the Sun, etc.), it is shown that the process of heating only by solar activity would yield an average value for Earth’s surface temperature of circa eighteen degrees below zero (Celcius scale). Since this calculated value of Earth’s surface temperature is cooler than the observed value, there must exist others, inner sources of heating for the Earth. The main source of such an internal heat generation within the system “Earth + atmosphere” is, of course, the Greenhouse effect.
Besides, the dynamics of the Earth’s surface temperature is proved to be determined by the proper elliptical integral. Thus, by obtaining of the re-inverse dependence of a solution from the time-parameter t we could present the temperature T(t) as a set of periodic cycles.

**Category:** Climate Research