MPEJ Volume 6, No. 5, 29 pp. Received March 16 2000, Revised November 9 2000, Accepted November 27 2000 B.D. Mestel, A.H. Osbaldestin Periodic orbits of renormalisation for the correlations of strange nonchaotic attractors ABSTRACT: We calculate all piecewise-constant periodic orbits (with values $\pm1$) of the renormalisation recursion arising in the analysis of correlations of the orbit of a point on a strange nonchaotic attractor. Our results make rigorous and generalise previous numerical results.