On evaluation of Newton integrals in geodetic coordinates: Exact formulation and spherical approximation
- Autor(en)
- Peter Vajda, Petr Vanicek, Pavel Novak, Bruno Meurers
- Abstrakt
Newton integrals for the potential and the vertical component of the attraction vecto (gravitational effect), serve for evaluating various topographical effects (negative topographical corrections) as well as for evaluating the potential and the gravitational effect of various bodies and/or models of mass density distribution (real, constant or anomalous). Here we review global evaluation of the Newton integrals in geodetic coordinates (in Gauss ellipsoidal coordinates) formulated exactly and in spherical approximation. Various topographical corrections are addressed by investigating their definitions in terms of the upper and lower topographical boundary and the used density. Numerical aspects of the evaluation of the Newton integrals, such as the weak singularity treatment, split-up into spherical shell and terrain terms, and a requirement to integrate over the entire globe are also addressed. Implications associated with regional and local evaluation of the Newton integrals are indicated. Special attention is paid to the so-called "ellipsoidal topography of constant density" ("ETC") and to NETC topo-corrections to potential and gravity. The abbreviation "NETC" stands for "No ETC" and represents the removal of the effect of "ETC" on potential or gravity.
- Organisation(en)
- Institut für Meteorologie und Geophysik
- Externe Organisation(en)
- Slovenian Academy of Sciences and Arts, University of New Brunswick (UNB), Research Institute of Geodesy, Topography and Cartography, Geodetic Observatory Pecný
- Journal
- Contributions to geophysics & geodesy: a journal of geophysics, geodesy, meteorology and climatology
- Band
- 34
- Seiten
- 289-314
- Anzahl der Seiten
- 26
- ISSN
- 1335-2806
- Publikationsdatum
- 2004
- Peer-reviewed
- Ja
- ÖFOS 2012
- 105102 Allgemeine Geophysik
- Link zum Portal
- https://ucrisportal.univie.ac.at/de/publications/13c23493-0dc2-40f0-9f12-3d0b64bfe766