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

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

Publication type: sbornikove prispevky
Extent7 stran

Annotation:
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.

Citation: HOLOTA, Petr a Otakar NESVADBA. Green’s Function Method Extended by Successive Approximations and Applied to Earth’s Gravity Field Recovery. In: Proceedings of the IX Hotine-Marussi Symposium. Roma: Springer Nature, 2019, 7 s. ISSN 0939-9585. doi:10.1007/1345_2019_6

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