000196037 001__ 196037
000196037 003__ CZ-ZdVUG
000196037 005__ 20201202103519.0
000196037 040__ $$aABC039$$bcze
000196037 1001_ $$aHolota, Petr
000196037 24510 $$aGreen’s Functions in Combining Terrestrial Data and Satellite-only Models for Earth’s Gravity Field Recovery
000196037 5203_ $$aIn gravity field studies satellite and terrestrial data complement each other. Potential theory forms the respective basis, but the problem considered is overdetermined by nature. Therefore, methods for solving boundary-value problems are combined with optimization concepts. In the first stage an implementation of Green’s function method is discussed. The approach is iterative. A transformation of spatial coordinates is used that opens a possibility for an alternative between the boundary complexity and the complexity of the coefficients of Laplace’s equation governing the solution. The solution domain is carried onto a spherical layer (domain bounded by two concentric spheres). Obviously, the structure of the Laplacian is more complex after the transformation. Nevertheless, the construction of the respective Green’s function is simpler for the solution domain transformed. The integral representation of the solution gives a better insight into the role, which the input data have in the global and the local modelling of the gravity field. Subsequently, the continuation of the solution is discussed with a particular view to its harmonic nature, analytic extension and regularity at infinity. The reasoning leads to compatibility examinations of the two data sources and to energy preserving optimization concepts considered in the paper.
000196037 655_4 $$aostatní výsledky
000196037 7001_ $$aNesvadba, Otakar
000196037 7730_ $$92019
000196037 8564_ $$uhttps://lps19.esa.int/NikalWebsitePortal/living-planet-symposium-2019/lps19/Agenda/AgendaItemDetail?id=6bdbe5c8-3341-4609-9eff-cd29263db83b
000196037 85642 $$ahttps://www.rvvi.cz/riv?s=rozsirene-vyhledavani&ss=detail&n=0&h=RIV%2F00025615%3A_____%2F19%3AN0000053%21RIV20-MSM-00025615
000196037 910__ $$aABC039
000196037 980__ $$aseda
000196037 985__ $$ahotota
000196037 985__ $$aanotace (J)
000196037 985__ $$ariv
000196037 985__ $$autvar24
000196037 985__ $$anesvadba