Compact analytic Jacobians are derived for reparameterizing Keplerian orbits between orbital elements and Cartesian states, correcting a singularity in the Skowron et al. (2011) microlensing model and improving MCMC efficiency in astrometric fitting.
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On the Reparameterization Between Cartesian Position-Velocity Vectors and Orbital Elements in the Kepler Problem
Compact analytic Jacobians are derived for reparameterizing Keplerian orbits between orbital elements and Cartesian states, correcting a singularity in the Skowron et al. (2011) microlensing model and improving MCMC efficiency in astrometric fitting.