Optimized Method for the Derivation of the Deflection of the Vertical from RGSS Data.

摘要

The Rapid Gravity Survey Systems (RGSS) provides a means of quickly measuring precisely non-astrogeodetic values of the deflections of the vertical. A test vehicle carries an Inertial Positioning System (IPS) which at each of the vehicle's stops produces an error velocity which can be related to the inertial platform tilt errors and the deflections of the vertical. An optical determination of the gyro drifts and the deflections of the vertical can only be obtained by a post-mission smoothing of the data. In this case, accurate data are available a priori for the deflections of the vertical at the start and stop of the vehicle's mission -- as well as the data on the IPS velocity errors at each stop. The purpose of this report is to develop the equations for the position, velocity, and tilt angle errors into a useable algorithm for the optimal estimation of the deflections of the vertical. As a result, three major analytic tasks are presented. This mathematical development enables the production of a machine algorithm for use with actual data. The final section of the report contains a coded version of the algorithm with explanatory comments. (Author)