Sort of. Add knowledge of Kepler's second law that an orbit will sweep out equal area in equal time, and you'll find that you can tell how much the orbit has b

Sort of. Add knowledge of Kepler's second law that an orbit will sweep out equal area in equal time, and you'll find that you can tell how much the orbit has been rotated, but not in which direction. I think generically, you'll find four possible orientations for a given projection. If you have multiple planets, and all planets share a particular possible elliptical plane, you might guess they're all on that plane, but it could be a coincidence.