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One of the motivation which led me to the development of JEphem is the will to know the precision of computations. This page describes the informations I found, and how they were included in JEphem.
Precision control in JEphem is based on
Body, containing a
jephem.astro.solarsystem.ComputationException. It is then possible afterwards to check if the different bodies contain such exceptions, and alert the user.