In order to get the source for officially released versions, go to the Files tab in Orekit forge and select one of the orekit-x.y-src.zip files. The x.y part in the name specifies the version. If this is the first time you download the library and you have not yet set up your own data set with UTC-TAI history, JPL ephemerides, IERS Earth Orientation Parameters ... you may want to also download the orekit-data.zip file which is an example file suitable for a quick start (see configuration for further reading about data configuration).
The development of the Orekit project is done using the Git source code control system. Orekit Git master repository is available online.
git clone http://www.orekit.org/git/orekit
git clone ssh://git@www.orekit.org/orekit.git