An iterative method for obtaining a nonlinear solution for the temperature distribution of a spinning spherical body irradiated by a central star

► The temperature of a spherical body irradiated by a central star is determined. ► Only the spin of a body is taken into account. ► The general solution inside a spherical body is obtained analytically. ► The boundary condition is nonlinear with respect to the temperature. ► An iterative method to get solutions satisfying the boundary condition is developed.