Bibliografie VÚGTK
An ellipsoidal analogue to Hotine’s kernel: Accuracy and applicability
Holota, Petr ; Nesvadba, Otakar

ISSN: 0939-9585
Zdroj: Third International Gravity Field Service (IGFS) General Assembly (IGFS2014)

Typ publikace: sbornikove prispevky
Rozsah: 8 stran

Anotace:
In 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.

Citace: HOLOTA, Petr a Otakar NESVADBA. An ellipsoidal analogue to Hotine’s kernel: Accuracy and applicability. In: Third International Gravity Field Service (IGFS) General Assembly. Berlin: Springer-Verlag, 2014, s. 8. ISSN 0939-9585.

Záznam se nachází v těchto sbírkách:
Výsledky VÚGTK > Podle útvarů / oddělení > 24: Geodézie a geodynamika
Výsledky VÚGTK > Vědečtí výzkumníci > RNDr. Ing. Petr Holota, DrSc.
Dokumentační centrum VÚGTK > Články VÚGTK
Výsledky VÚGTK > Výsledky RIV

 Záznam vytvořen 2018-11-09, poslední editace 2018-12-13



Hodnotit tento dokument:

Rate this document:
1
2
3
 
(Ještě nerecenzováno)