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.
M., Marois, C., Macintosh, B
2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2representative citing papers
Three accelerating stars yield one stellar companion at 166 AU, one 45 Jupiter-mass object at ~18 AU, and one 9.5 Jupiter-mass object at 6.4 AU that is 65% likely to be a planet.
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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.
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Gaia Exoplanet Orbits, Demographics, and Evolution Survey (GEODES): Characteristics of Three Long-Period Companions Accelerating their Host Stars
Three accelerating stars yield one stellar companion at 166 AU, one 45 Jupiter-mass object at ~18 AU, and one 9.5 Jupiter-mass object at 6.4 AU that is 65% likely to be a planet.