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000196036 041__ $$aeng
000196036 040__ $$aABC039$$bcze
000196036 1001_ $$aHolota, Petr
000196036 24510 $$aGreen’s Function Method Extended by Successive Approximations and Applied to Earth’s Gravity Field Recovery
000196036 300__ $$a7 stran
000196036 5203_ $$aThe aim of the paper is to implement the Green’s function method for the solution of the Linear Gravimetric Boundary Value Problem. The approach is iterative by nature. A transformation of spatial (ellipsoidal) coordinates is used that offers a possibility for an alternative between the boundary complexity and the complexity of the coefficients of Laplace’s partial differential equation governing the solution. The solution domain is carried onto the exterior of an oblate ellipsoid of revolution. Obviously, the structure of Laplace’s operator is more complex after the transformation. It was deduced by means of tensor calculus and in a sense it reflects the geometrical nature of the Earth’s surface. Nevertheless, the construction of the respective Green’s function is simpler for the solution domain transformed. It gives Neumann’s function (Green’s function of the 2nd kind) for the exterior of an oblate ellipsoid of revolution. In combination with successive approximations it enables to meet also Laplace’s partial differential equation expressed in the system of new (i.e. transformed) coordinates.
000196036 6112_ $$aProceedings of the IX Hotine-Marussi Symposium$$cRome$$d18.6.2018
000196036 655_4 $$asbornikove prispevky
000196036 7001_ $$aNesvadba, Otakar
000196036 7730_ $$92019$$dRome:Springer Nature,2018.$$tProceedings of the IX Hotine-Marussi Symposium$$x0939-9585
000196036 85642 $$ahttps://www.rvvi.cz/riv?s=rozsirene-vyhledavani&ss=detail&n=0&h=RIV%2F00025615%3A_____%2F19%3AN0000004%21RIV19-MSM-00025615
000196036 910__ $$aABC039
000196036 980__ $$aclanky_vugtk
000196036 985__ $$aholota
000196036 985__ $$ariv
000196036 985__ $$autvar24
000196036 985__ $$anesvadba