A MEMS (Microelectromechanical System) INU (Inertial Navigation Unit) chip comprises a compact autonomous device undergoing motion tracks and analyzes its definite movement relative to local Earth coordinates with optimal accuracy and repeatability of lmm over distances of greater than two meters. The MEMS INU includes an Inertial Motion Tracking Device (IMTD) comprises a gyroscope, accelerometer, magnetometer, and digital processor programmed with a general purpose Inertial Measurement Engine (IME), an application specific Motion Analysis and Adaptation (MAA) program and a low power radio. The IMTD tracks its motion with optimum accuracy using compact practical sensors that may have noise and drift by periodically and autonomously checking its velocity changes at an optimum interval, computing a linear acceleration therefrom and determining a no-motion or motion condition relative to a threshold and correcting its velocity, position and acceleration errors when there is no motion.
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