Transformations of the Lorentz-type are derived in terms of distance and time measurements made by rods and clocks subject to the Fitzgerald-Larmor-Lorentz contractions by their motion through the ether. These transformations contain terms involving the self-measured velocity of a transported setting clock which must be used to establish times at distant points. When the setting clock velocity is small the expressions approximate to the original Lorentz transformations.
HERBERT E. IVES, "Lorentz-Type Transformations as Derived from Performable Rod and Clock Operations," J. Opt. Soc. Am. 39, 757-761 (1949)