ERROR ANALYSIS OF SPACE STABLE INERTIAL NAVIGATION SYSTEM WITH VELOCITY AND ALTITUDE DAMPINGS

Abstract

This dissertation is primarily concerned with the error analysis of space stable Inertial navigation system with velocity and altitude damping. The mechanise- Lion of space stable inertial navigation system is des- cribed. first and details of velocity and altitude damp-ings are given thereafter,, Various error sources contri-buting to the errors s! in navigational. quantities e.g. velocity etc.,, are considered and the error equations are developed* A complete error propo tion- simulat ,on of the errors in navigational quantities is developed. . Zn this thesis, the aim- is, to develop error propa-gation equations for space stable inertial navigation sys-tem, with velocity and altitude, damping, in the form of a set of first order linear, differential equations (state spate notation) i.e., = F(t) x(t) + u(t) where the state vector (t) consists of position and velocity error and platform tilt referenced and coordi - tiled in inertial reference frame. Input error vector ut t) consists of terms of Instrumentt errors and gravity anomalies. 0 Sometimes we are iiore interested in earth referenced errors y(t) , than inert .y referenced errors x(t) , where y(t) consists of longitude, latitude and altitude errors, north $ east sand vertical velocity (with respect to earth) errors and altitude errors. The earth referenced errors y(t) are shown to be related to inertially referenced. errors by the equation y(t) = C(t) x(t) where, C(t) 'is an appropriate transformation matrix