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Several programs to construct the lunar base are in progress to develop the lunar resources such as helium 3. In order to remove heat from the lunar base, the radiative heat exchangers can be used, however they have been estimated at both large and heavy. To attain higher temperature level, a Rankine cycle booster heat-pump using high temperature refrigerant is added to conventional cycle. A radiative heat exchanger composed of vertical radiating panels, horizontal reflectors, and heat reservoirs is selected, to maximize the capacity. The surface area of this radiative heat exchanger is estimated about a 50 % smaller than that of the conventional cycle.