NDLI: Far-zone contributions to the gravity field quantities by means of Molodensky’s truncation coefficients

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Far-zone contributions to the gravity field quantities by means of Molodensky’s truncation coefficients

Content Provider	Semantic Scholar
Author	Tenzer, Robert Nov'ak, Pavel Prutkin, I. Ellmann, Artu Vajda, Peter
Copyright Year	2009
Abstract	To reduce the numerical complexity of inverse solutions to large systems of discretised integral equations in gravimetric geoid/quasigeoid modelling, the surface domain of Green’s integrals is subdivided into the near-zone and far-zone integration sub-domains. The inversion is performed for the near zone using regional detailed gravity data. The farzone contributions to the gravity field quantities are estimated from an available global geopotential model using techniques for a spherical harmonic analysis of the gravity field. For computing the far-zone contributions by means of Green’s integrals, truncation coefficients are applied. Different forms of truncation coefficients have been derived depending on a type of integrals in solving various geodetic boundary-value problems. In this study, we utilise Molodensky’s truncation coefficients to Green’s integrals for computing the far-zone contributions to the disturbing potential, the gravity disturbance, and the gravity anomaly. We also demonstrate that Molodensky’s truncation coefficients can be uniformly applied to all types of Green’s integrals used in solving the boundaryvalue problems. The numerical example of the far-zone contributions to the gravity field quantities is given over the area of study which comprises the Canadian Rocky Mountains. The coefficients of a global geopotential model and a detailed digital terrain model are used as input data.
Starting Page	157
Ending Page	167
Page Count	11
File Format	PDF HTM / HTML
DOI	10.1007/s11200-009-0010-1
Alternate Webpage(s)	https://repository.tudelft.nl/islandora/object/uuid:2d0119bf-a254-4879-adae-7242baeb20ff/datastream/OBJ/download
Alternate Webpage(s)	http://repository.tudelft.nl/assets/uuid:2d0119bf-a254-4879-adae-7242baeb20ff/tenzer-2009.pdf
Alternate Webpage(s)	https://doi.org/10.1007/s11200-009-0010-1
Volume Number	53
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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