Rational formulation of modern geoid concept
来源期刊：中国有色金属学报(英文版)2011年第z3期
论文作者：GUO Zeng-zhang XIAO Jian-hua
文章页码：675 - 680
Key words：geodesic surface; parameter-center system; mass-center system; geodesy deformation; geoid
Abstract: Based on modern geometrical field theory, a rational interpretation of modern geodesic surface concept was formulated. The general equations for geodesic surface were given. The height concept and arc length concept were formulated strictly. Their intrinsic benefits and shortages of parameter-center reference and mass-center reference systems were studied in details. The research results show that the geodesic concept depends on the available technology. The technology-dependence feature of geodesy concept was expressed by related mathematic formulations. For the satellite-based observation system, the rationality of China-2000 Geoid Reference System was explained. Discussions about how to establish regional precision reference system were made based on general equations of arc length and space distance equations. A new correction item should be taken into consideration for arc length gauge calculation.
GUO Zeng-zhang, XIAO Jian-hua
(Geodesy Institute, Henan Polytechnic University, Jiaozuo 454000, China)
Abstract:Based on modern geometrical field theory, a rational interpretation of modern geodesic surface concept was formulated. The general equations for geodesic surface were given. The height concept and arc length concept were formulated strictly. Their intrinsic benefits and shortages of parameter-center reference and mass-center reference systems were studied in details. The research results show that the geodesic concept depends on the available technology. The technology-dependence feature of geodesy concept was expressed by related mathematic formulations. For the satellite-based observation system, the rationality of China-2000 Geoid Reference System was explained. Discussions about how to establish regional precision reference system were made based on general equations of arc length and space distance equations. A new correction item should be taken into consideration for arc length gauge calculation.
Key words:geodesic surface; parameter-center system; mass-center system; geodesy deformation; geoid
