CRITERIA OF ISOTHERMALITY OF SPACE OBJECTS ON THE EXAMPLE OF A HOLLOW CUBE IN THE EARTH SHADOW
Annotation
A method for determining the conditions of maximum non-isothermality and total isothermality of a space object in the form of a hollow cube in the shadow of the Earth is proposed. The object has a shell structure with a constant wall thickness, and its base lies in the plane of the local horizon. Streams of own thermal radiation of the Earth is falling on the lower base surface and the side surface of the object. All external surfaces of the object emit thermal energy into space. In the inner cavity of the object, heat is exchanged between the internal surfaces by radiation. All internal and external surfaces of the object are assumed to be completely black. The developed method is based on evaluation of the range of thermal conductivity of walls of equal thickness, for which the heat exchange between the faces of the cube is determined only by internal re-emission and does not depend on the thermal conductivity of the walls. This case corresponds to an extremely non-isothermal object. Then the average temperature of each of the surfaces of the object with a thin wall should be determined, when the effect of thermal conductivity on the alignment of temperatures on the surface of the object is negligible. Another limiting case corresponds to an isothermal object.
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