The satellite over-pass time ground surface temperature can be determined using split-window methods. The diurnal ground temperature is derived from the advanced thermal inertia model as a solution of the heat diffusion equation with a constant diffusivity under periodic forcing on the ground surface in terms of temperature. The model was tested by applying it to NOAA AVHRR data for France. The results indicate that the advanced thermal inertia model can be used to predict the diurnal ground surface temperature quasi-operationally with any two sets of over-pass satellite data and it is better to use any two daytime sets of over-pass satellite data than one night-time set and one day time set of over-pass satellite data, especially in vegetated areas. The model can be used to interpolate the surface temperature values between two over-pass time satellite measurements.
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Cracknell et al. (1996) studied this question.
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