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Two alternative approaches are presented for deriving strapdown navigation algorithms as opposed to the conventional approach that was used until now and was recently summarized in the paper by Savage (Savage, P. G., "Strapdown Inertial Navigation Integration Algorithm Design Part 2: Velocity and Position Algorithms," A key point of the two approaches is the use of additional gyro/accelerometer output signals that are the increments of the angular-rate/speci c-force multiple integrals over the iteration interval. This results in two new families of speci c-force transformation algorithms that accurately account for the sculling effects and attenuate the pseudosculling errors that can arise because of the high-frequency gyro/accelerometer behavior. Yury A. Litmanovich received his M.S. degree in Electrical Engineering from Leningrad Electrical-Engineering Institute in