We present an analysis of the spatial covariance structure of an articulated motion prior in which joint angles have a known covariance structure. From this, a well-known, but often ignored, deficiency of the kinematic skeleton representation becomes clear: spatial variance not only depends on limb lengths, but also increases as the kinematic chains are traversed. We then present two similar Gaussian-like motion priors that are explicitly expressed spatially and as such avoids any variance coming from the representation. The resulting priors are both simple and easy to implement, yet they provide superior predictions. Key words: Articulated Tracking · Motion Analysis · Motion Priors · Spatial Priors · Statistics on Manifolds · Kinematic Skeletons 1 Articulated Tracking Three dimensional articulated human motion tracking is the process of estimating the configuration of body parts over time from sensor input [1]. One approach to this estimation is to use motion capture equipment ...