Calibration and validation (CAL/VAL) is a key technology for quantitative application of space-borne remote sensing data. However, the complex space environment can cause many uncertainties and degrade the calibration accuracy. In-flight calibration is always needed. The thermal emission of the Moon is stable over hundreds of years because there is no atmosphere and no significant physical or chemical change on its surface.

The deep space view of the Microwave Humidity Sounder onboard NOAA-18 has viewed the Moon many times every year. Under solar illumination, the lunar surface shows stable and periodical variation in microwave brightness temperature (TB). The Moon is a potential calibration source for thermal calibration

The related work was published in Science China Earth Sciences with the name of "Calibration of the space-borne microwave humidity sounder based on real-time thermal emission from lunar surface".

Based on the heat conductive equation, the temperature profiles of lunar regolith at different regions and local time are simulated numerically with the real-time solar radiance and angle of incidence. The simulated temperatures are validated with the infrared TBs measured by the Diviner infrared sounder onboard the Lunar Reconnaissance Orbiter.

The microwave TBs measured by China's "Chang'e 2" satellite were used to invert the loss tangents of lunar surface. The inverted loss tangents were applied to modelling the microwave TBs of lunar near side at microwave humidity sounder's channels. The simulated average microwave TBs are consistent with the observation of NOAA-18 microwave humidity sounder (Figure 1).

The analysis shows that microwave TB of lunar surface is related with the frequency. The microwave can penetrate the lunar regolith. Microwave TB is the cumulative contribution of the regolith thermal emission. The superficial temperature plays a dominate role in microwave TB at high frequency channels because of the small penetration depth.

The superficial temperature of regolith drops significantly with depth at daytime, resulting in a high microwave TB at high frequency. While at night, the observed TB is low at high frequency because the superficial temperature of regolith increases with depth.

The digital counts of microwave humidity sounder were used to fit the full width at half maxima of the sounder when the deep space view scans across the Moon. The fitted full width at half maxima was applied in deriving the average lunar TB from the observed digital counts. The simulation analysis shows that the distance between the satellite and the lunar phase angle will influence the inverted full width at half maxima.

According to the study of "Chang'e 2" microwave observation of the Moon, the average microwave TBs of the lunar near side at different frequencies and phase angles are modelled. The simulation can be taken as a supplemental reference for the calibration of microwave humidity sounder onboard NOAA-18. It can be taken as the calibration source of the microwave sounders onboard Geosynchronous satellites and CubeSats as well.

However, the microwave TB are measured by "Chang'e 2" satellites at nadir observation. The highest frequency is 37GHz. Specific observation of lunar surface at higher frequencies and large angles are needed for improving the modeling.

Research Report: "Calibration of the space-borne microwave humidity sounder based on real-time thermal emission from lunar surface"

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