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We study geodesics along a noncompact Kerr-Newman instanton, where theasymptotic geometry is either de Sitter or anti-de Sitter. We use firstintegrals for the Hamilton-Jacobi equation to characterize trajectories bothnear and away from horizons. We study the interaction of geodesics with specialfeatures of the metric, particularly regions of angular degeneracy or "thetahorizons" in the de Sitter case. Finally, we characterize a number of stableequilibrium orbits.

Geodesics on a Kerr-Newman-(anti-)de Sitter instanton