A spherical satellite of 1 m diameter encircles the earth at an altitude of 483 km. Estimate the shape factor of the earth from the satellite and hence calculate the equilibrium temperature of the...

A spherical satellite of 1 m diameter encircles the earth at an altitude of 483 km. Estimate the shape factor of the earth from the satellite and hence calculate the equilibrium temperature of the satellite on the “dark” side and on the “bright” side of the earth. Assume that the diameter of the earth is 12,880 km and its black body temperature is 20°C. The temperature of outer space may be taken as 0 K and the satellite is irradiated with a heat flux of 1.3 kW/m²
from the sun when on the bright side.