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

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

Publication type: sbornikove prispevky
Extent8 stran

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.

Citation: 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.

The record appears in these collections:
Focus on VÚGTK > VÚGTK Departments > Geodesy and Geodynamics
Focus on VÚGTK > Staff VÚGTK > Petr Holota
Documents of VÚGTK > Articles VÚGTK
Focus on VÚGTK > RIV

 Record created 2018-11-09, last modified 2018-12-13

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