On the recovery of the reference trajectory of rotation

Abstract

The boundary value problem of determining the time dependence of the spacecraft angular velocity vector from measurements performed by uniaxial transducers rigidly fixed in the body-fixed frame is stated and solved. The proposed algorithm ensures that the mean and variance of the variations in the estimates of the angular velocity vector are smaller than the corresponding accuracy characteristics of uniaxial transducers. The implementation of the proposed technique permits increasing the accuracy of inertial measurement devices.