Abstract:Aiming at solving the ill-conditioned problem caused by inadequate observation, inadequate utilization of parameter physical information and prior information in measurement data processing, this paper transforms the measurement adjustment problem into a convex quadratic programming problem by constraining the parameters with prior information, and proposes an adjustment model with spherical constraints. Based on the optimization theory and Kuhn-Tucker condition, the adjustment problem under spherical constraints is studied, and a solution method is proposed for the model. The results of numerical simulation and practical application of trilateration network show that this method has obvious better estimation in dealing with ill-conditioned problems, and can be widely used in geodetic ill-conditioned data processing.