On an Inertial Method of Measuring Velocities -- USSR --
JOINT PUBLICATIONS RESEARCH SERVICE ARLINGTON VA
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Along with the known methods of measuring velocities based on the hydrodynamic effect and on the Doppler effect, there is at present in wide use a method based on the integration of accelerations. The measurement of velocities by mean of integrating accelerations constitutes the basis of the so-called inertial system of navigation which serves to determine the complex problem of controlling an object in motion along an assigned trajectory. Notwithstanding a number of undisputed advantages, the use of the method of integrating accelerations under the usual conditions of low velocities and considerable time intervals is associated with the need to account for a number of systematic and fortuitous errors. In this connection it is interesting to determine these errors in the instances when they can accurately calculated, or to determine their probability characteristics if they are of an accidental nature. This article is an attempt to investigate systematic errors caused by the Coriolis and centripetal accelerations, for the purpose of finding their values in measuring velocities during long time intervals. The part played by coulomb friction is explained and an estimate is made of static errors caused by the forces of coulomb friction.
- Theoretical Mathematics