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We compare these methods to existing analytic and semi-analytic methods. Such data-driven emulators are poised to replace the methods currently used in N-body simulations, while avoiding the cost of direct simulation. This work is based on a new set of 14,856 SPH simulations of pairwise collisions between rotating, differentiated bodies at all possible mutual orientations. The online version of this article (10.1186/s40668-020-00034-6) contains supplementary material. The online version of this article (10.1186/s40668-020