Alice and bob, while in a common inertial reference frame, synchronize watches so that they tick at the same rate.
Alice moves to an altitude X above a large point mass and maintains her altitude by accelerating upwards at the appropriate rate.
Bob moves to a position directly above Alice at altitude Y where Y > X and maintains his altitude by accelerating upwards at the appropriate rate.
Sanity check: Am i correct that at this point Bob should observe Alice's watch ticking slower than his own as a result of the difference in their accelerating reference frames?
Bob adjusts his own watch's calibration such that it appears to be synchronized in both rate and value with the image of Alice's watch as it arrives at Bob's position.
At precisely 12PM as read by their respective watches both Alice and Bob cease accelerating and enter free-fall towards the point mass.
What relative rate will Bob observe Alice's watch ticking at now that they are both in free-fall? Will the watches remain synchronized? Will Bob see Alice's watch ticking at a faster rate than his own as Alice has 'shed' more acceleration than Bob?