Gravity Gradients and Three Dimensional Net Adjustments without Ellipsoidal Reference,

摘要

The report analyzes the practical applicability of the Marussi transformation from natural nonunique coordinates into the unique coordinates astronomical longitude and latitude,and geopotential by means of gravity gradients and the euclidean norm of the gravity vector as integrating factors. If point errors of about plus or minus 10 m are tolerated the r.m.s. error of gravity gradients is found to be about plus or minus for point distances of about 15km and pole free latitudes. Analogous values are plus or minus and plus or minus 0.1 E,plus or minus 10cm and plus or minus 0.01 E approximately. A very detailed error analysis for the Marussi transformation is given,completed by an example for a three dimensional net adjustment based on the Frobenius theorem and available gravity gradient information. (Author)