  The analytic solution for the two-streams discrete ordinates equations is
carried out on the spatial domain in one-dimensional spherical geometry. The
solution satisfies all the physical and the geometric conditions, namely: the
natural boundary condition at the surface of the sphere, the symmetry condition
at the center and the reciprocity of path. The solution obeys the inverse
square law and is finite everywhere in the sphere except at the center.
Graphical and numerical data obtained in cold absorbing spheres confirmed the
analytical predictions. The conservation of energy is satisfied with high
accuracy within round-off errors.
