Gravity gradients and three dimensional net adjustments without ellipsoidal reference
Date
1973-04
Authors
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Journal ISSN
Volume Title
Publisher
Ohio State University. Division of Geodetic Science
Abstract
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 we tolerate point errors of about ± 10 m the r. m. s. error of gravity gradients is found to be about ± 1 E for point distances of about 15 km and pole free latitudes. Analogous values are ± 1 m and ± 0.1 E, ± 10 cm and ± 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.