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In order to provide a more statistically rigorous treatment of uncertainty in the space surveillance tracking environment, a new class of multivariate probability density functions is proposed called the Gauss von Mises (GVM) family of distributions. The distinguishing feature of the GVM distribution is its definition on a cylindrical manifold, the underlying state space in which systems of orbital element coordinates are more accurately defined. When specialized to GVM distributions, thedoi:10.1137/130917296 fatcat:ytj5nsrnmnckbjrg3aotyc4d4a