000196306 001__ 196306
000196306 003__ CZ-ZdVUG
000196306 005__ 20210823104416.0
000196306 041__ $$aeng
000196306 040__ $$aABC039$$bcze
000196306 1001_ $$aHolota, Petr
000196306 24510 $$aDifferential geometry and curvatures of equipotential surfaces in the realization of the World Height System
000196306 300__ $$a1 strana
000196306 5203_ $$aThe notion of an equipotential surface of the Earth’s gravity potential is of key importance for vertical datum definition. The aim of this contribution is to focus on differential geometry properties of equipotential surfaces and their relation to parameters of Earth’s gravity field models. The discussion mainly rests on the use of Weingarten’s theorem that has an important role in the theory of surfaces and in parallel an essential tie to Brun’s equation (for gravity gradient) well known in physical geodesy. Also Christoffel’s theorem and its use will be mentioned. These considerations are of constructive nature and their content will be demonstrated for high degree and order gravity field models. The results will be interpreted globally and also in merging segments expressing regional and local features of the gravity field of the Earth. They may contribute to the knowledge important for the realization of the World Height System.
000196306 655_4 $$aanotace
000196306 7001_ $$aNesvadba, Otakar
000196306 7112_ $$aEGU General Assembly 2020$$d4–8 May 2020
000196306 7730_ $$92020
000196306 8564_ $$uhttps://doi.org/10.5194/egusphere-egu2020-13418
000196306 85642 $$ahttps://www.isvavai.cz/riv?s=rozsirene-vyhledavani&ss=detail&n=0&h=RIV%2F00025615%3A_____%2F20%3AN0000062%21RIV21-MSM-00025615
000196306 910__ $$aABC039
000196306 980__ $$aclanky_vugtk
000196306 985__ $$aholota
000196306 985__ $$ariv
000196306 985__ $$autvar24