In a previous Version of Aptana
it was possible to re-open files from a remote connection (FTP) on startup. This feature is not available any more after some updates.
I wrote down this solution in March 2012:
Window > Preferences > Aptana Studio > Remote > enable checkbox “Re-open previously opened remote files on startup”
Unfortunately the checkbox was removed. I'm currently using Aptana Studio 3, build: 3.3.1.201212171919
Would be great if the feature is still available.