000193605 001__ 193605
000193605 003__ CZ-ZdVUG
000193605 005__ 20181213112003.0
000193605 022__ $$a0939-9585
000193605 041__ $$aeng
000193605 040__ $$aABC039$$bcze
000193605 1001_ $$aHolota, Petr
000193605 24510 $$aAn ellipsoidal analogue to Hotine’s kernel: Accuracy and applicability
000193605 300__ $$a8 stran
000193605 5203_ $$aIn this paper a mathematical apparatus is discussed that involves effects of the flattening of the Earth in the determination of the gravity potential. It rests on the use of Green’s function of the second kind (Neu-mann’s function) constructed for Neumann’s boundary value problem in the exterior of an oblate ellipsoid of revolution. The apparatus has a natural tie to the reproducing kernel of Hilbert’s space of functions har-monic in the considered solution domain. For at least one of the points (arguments of the kernel) inside the solution domain an expression of the reproducing kernel is developed. However, for both the points (arguments) on the ellipsoidal boundary a practical use of the kernel represented by means of series of ellipsoidal harmonic is not possible. Therefore the application of an approximate closed formula as the integral kernel is discussed and tested. A quality enhancement, if compared with the use of the spherical apparatus, is demonstrated by means of closed loop simulations. The paper contributes to methods related to the geoid (quasigeoid) computations.
000193605 655_4 $$asbornikove prispevky
000193605 7001_ $$aNesvadba, Otakar
000193605 7730_ $$92015$$dBerlin:Springer-Verlag,2015.$$tThird International Gravity Field Service (IGFS) General Assembly (IGFS2014)
000193605 85642 $$ahttps://www.rvvi.cz/riv?s=rozsirene-vyhledavani&ss=detail&n=0&h=RIV%2F00025615%3A_____%2F15%3A%230002189%21RIV16-GA0-00025615
000193605 910__ $$aABC039
000193605 980__ $$aclanky_vugtk
000193605 985__ $$aholota
000193605 985__ $$ariv
000193605 985__ $$autvar24