Time-dependent finite-difference techniques are used to obtain numerical solutions for the problem of the inviscid flow of radiating equilibrium air past sphere traveling at hyperbolic speeds. The effects of absorption are included, and results are presented for both gray and nongray absorption coefficient models for spheres with different radii. It is shown that the nondimensional heat-flux distributions for the gray and nongray models are similar and that these distributions are weak functions of the radius of the sphere and the altitude and strong functions of the flight velocity.