Effect of Coupling in an Inertial Navigation Platform Stabilized System Made Up of Three Single-Degree-of-Freedom Gyroscopes

摘要

We shall refer to three interacting single-axis systems as a three-axis system. If the interaction between the single-axis systems is weak, the three-axis system can be studied in the single-axis approximation. This approximation could lead to great simplification in the analysis and solution of the problem. On the contrary, if the interaction between the systems is strong, the single-axis approximation is not applicable to the three-axis system. To arrive at the criteria for the applicability of the single-axis approximation, it is necessary to study the effect of coupling between the systems. One type of coupling involves the polar angle and the azimuthal angle. It depends on the geometry of the frame between the platform axes. This type of coupling can be eliminated by a coordinate transformation or an orthogonal transformation. (Chinese translations)