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Absolutely no claim of being the BEST definition - but an oldie and
goodie is one that is at rest (or moving at constant velocity) wrt
the 'fixed' stars.
Denker's 'unrestrained' free-fall frame is the modern choice of
General Relativists.
You might not want to say that this would be a frame that is
'accelerated' by the force of gravity - since general relativity sez
that there IS no 'force of gravity'.