  The radiative evolution of the relative orientations of the spin and orbital
angular momentum vectors ${\bf S}_{{\bf 1}}, {\bf S}_{{\bf 2}}$ and ${\bf L}$,
characterizing a binary system on eccentric orbit is studied up to the second
post-Newtonian order. As an intermediate result, all Burke-Thorne type
instantaneous radiative changes in the spins are shown to average out over a
radial period. It is proved that spin-orbit and spin-spin terms contribute to
the radiative angular evolution equations, while Newtonian, first and second
post-Newtonian terms together with the leading order tail terms do not. In
complement to the spin-orbit contribution, given earlier, the spin-spin
contribution is computed and split into two-body and self-interaction parts.
The latter provide the second post-Newtonian order corrections to the 3/2 order
Lense-Thirring description.
