Bibliografie VÚGTK
Green’s Function Method Extended by Successive Approximations and Applied to Earth’s Gravity Field Recovery
Holota, Petr ; Nesvadba, Otakar

Zdroj: Proceedings of the IX Hotine-Marussi Symposium ISSN: 0939-9585

Typ publikace: sbornikove prispevky
Rozsah: 7 stran

DOI 10.1007/1345_2019_67

The aim of the paper is to implement the Green’s function method for the solution of the Linear Gravimetric Boundary Value Problem. The approach is iterative by nature. A transformation of spatial (ellipsoidal) coordinates is used that offers a possibility for an alternative between the boundary complexity and the complexity of the coefficients of Laplace’s partial differential equation governing the solution. The solution domain is carried onto the exterior of an oblate ellipsoid of revolution. Obviously, the structure of Laplace’s operator is more complex after the transformation. It was deduced by means of tensor calculus and in a sense it reflects the geometrical nature of the Earth’s surface. Nevertheless, the construction of the respective Green’s function is simpler for the solution domain transformed. It gives Neumann’s function (Green’s function of the 2nd kind) for the exterior of an oblate ellipsoid of revolution. In combination with successive approximations it enables to meet also Laplace’s partial differential equation expressed in the system of new (i.e. transformed) coordinates.

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

 Záznam vytvořen 2020-08-13, poslední editace 2020-08-13

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