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Orekit is a free low level space dynamics library written in Java. It provides basic elements (orbits, dates, attitude, frames, ...) and various algorithms to handle them. Homepage: http://www.orekit.org/
The Orekit python wrapper allows using Orekit from a python environment. It was developed by SSC and provided to the Orekit project in May 2014.
New Orekit website, based on Jekyll (a static website generator) and Bootstrap (a popular HTML, CSS, and JS framework).