A theoretical study of the 27-day variation of upper-atmospheric temperature

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The temperature of the upper atmosphere, as observed by satellite drag analysis, lags the maximum of the 27-day variation in solar decimeter flux by about 1 day. This time lag is now generally interpreted to be an atmospheric reaction time in response to the varying solar extreme ultraviolet (EUV) heating. The EUV flux has been observed from satellites to be closely proportional to the decimeter flux. The present analysis examines the theoretical evidence for the observed time lag. This is accomplished by means of a simple analytic solution of the heat conduction equation in a suitably-averaged atmospheric model. The theoretical results, using observed EUV variations and heating efficiencies of about 35 per cent, are consistent with observations, provided the fixed-temperature lower boundary is near 110 km. This coincides approximately with the lower boundary for diffusive separation, a result which should not be surprising in view of the similarity of the transport processes of mass and heat. Anomalously large and small time lags occasionally observed may be easily accounted for if the altitude extent of turbulence temporarily occurs lower and higher (respectively) than average.

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