Abstract. A method is developed for calculating stationary temperature values for isothermal space objects of conical and cylindrical shape moving along circular orbits in the plane of the terminator or staying in the Earth shadow. Conditions for thermal similarity of conical and cylindrical objects are studied. It is shown that conical and cylindrical objects with equal relations of the radius of the basis to the height and half-angle at the cone vertex, β not exceeding 10о have equivalent thermal characteristics and close temperature values. Under the conditions, for orbits height of 600 – 40 000 km the temperatures of conical and cylindrical objects are close enough, the difference increases up to 3 K0 and over when β is more than 20о. The temperature of spherical object taken as a reference one is found to coincide with the temperature of conical and cylindrical object at the same conditions only at angles of cone and cylinder axes orientation are α = 40о and α = 140о on a solarconstant orbit at β =13о, and α = 60о and α = 120о correspondingly in the Earth shadow.

Keywords: space object, irradiation coefficient, thermal balance of objects in a near-earth space, the thermal radiation of the Earth, thermal similarity of space objects

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