A Geometric Simultaneous Multistation Determination, with Constraints, Using Data from Geodetic Satellites

摘要

The observation equations for two types of satellite tracking systems are derived from a purely geometric standpoint. The introduction of these equations into the adjustment is flexible enough to allow for any combination of data to enter into the formation of the normal equations. Included in the development is the utilization of weight constraints, in which the coordinates of the ground tracking stations and satellite points may be weighted according to how well they are known. The highly patterned character of the large system of normal equations lends itself to inversion by matrix partitioning in which the largest matrix to be inverted is that involving only the tracking station parameters. Thus, for a fixed number of tracking stations the computations will increase only linearly with the number of satellite points used in the reduction. (Author)