  We compute the nuclear spin-orbit coupling from the Skyrme model. Previous
attempts to do this were based on the product ansatz, and as such were limited
to a system of two well-separated nuclei. Our calculation utilises a new
method, and is applicable to the phenomenologically important situation of a
single nucleon orbiting a large nucleus. We find that, to second order in
perturbation theory, the coefficient of the spin-orbit coupling induced by pion
field interactions has the wrong sign, but as the strength of the pion-nucleon
interactions increases the correct sign is recovered non-perturbatively.
