An analysis of First-order Term of the Molodenskii's Series for Geodetic Boundary Value Problem

作者：Ferreira Vagner Goncalves^*; Correia de Freitas Silvio Rogerio

来源：Boletim de Ciencias Geodesicas, 2010, 16(4): 557-574.

• Quasi-Geoid
• Free-air Gravity Anomaly
• Geodetic Boundary Value Problem

The main purpose of this paper is to evaluate the first-order term of the Molodenskii series by using different approaches, which approaches are: the solution Oven by Molodenskii; the solution using the vertical gradient in accordance with Moritz as an approximation of G(1) term, and by using the terrain correction which is an approximation for G(1). The two first solutions are coherent with each other under the conditions here analyzed. The comparison was made in terms of the first order height anomaly. Considering the final quasi-geoid, the use of terrain correction instead of the G(1) term was efficient in terms of the evaluation by using independent data; in this case, 42 GPS points on benchmarks. I he methodology, results and discussions, conclusions and practical recommendations are presented in the paper.

• 出版日期2010-12