Hmmm, it seems to me (by no means a physics guru) that reversing the refernce frame would may not be viable. I mean, Eart is moving, Jupiter is moving, even the Sun is moving. And all at different speeds. It seems to me the best frame of reference (locally) would therefore be the Sun. I mean, reversing the reference from Earth to Jupiter does help in observing effects from afar, but you then still muct wonder about the Sun's effects upon gravitational attraction, and how to subtract the difference based upon Earth's motion, (plus the reference point on Earth moving in revolution).
What we gotta do, is get the smartest person on Earth (a Senator from NY, as I recall), put her is a ship, and fire it at the closest star at a constant velocity, then measure increases in velocity at predetermined ranges. She can report back her observations to a device.