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Verlagsausgabe
DOI: 10.5445/IR/1000080231
Veröffentlicht am 22.10.2018

On the approximation of a tesseroid by a rectangular prism

Kuhn, Michael

Abstract (englisch):
In global gravity forward modelling the tesseroid is commonly used as elementary mass element. However, formulas for the gravitational potential and its derivatives currently suffer from numerical problems when evaluating in its close proximity. Based on the subdivision of a tesseroid in smaller rectangular prisms, this study examines the gravitational field in the close proximity of a tesseroid including its faces, edges, vertices and interior and quantifies approximation errors when replaced by a single rectangular prism. Results show that approximation errors can exceed 100 μGal when placing the computation point at the vertex of a 30 × 30 ×10 km tesseroid but considerably reduce for smaller tesseroids and when placing the computation point at the tesseroid’s centre top face. While this study confirms that the prism is a suitable mass element to model masses in close proximity of the evaluation point it also opens further research questions.


Zugehörige Institution(en) am KIT Geodätisches Institut (GIK)
Publikationstyp Buchaufsatz
Jahr 2018
Sprache Englisch
Identifikator ISBN: 978-3-7315-0777-2
ISSN: 1612-9733
URN: urn:nbn:de:swb:90-802319
KITopen ID: 1000080231
Erschienen in (Schw)Ehre, wem (Schw)Ehre gebührt : Festschrift zur Verabschiedung von Prof. Dr.-Ing. Dr. h.c. Bernhard Heck. Hrsg.: A. Heck
Verlag KIT Scientific Publishing, Karlsruhe
Serie Schriftenreihe des Studiengangs Geodäsie und Geoinformatik / Karlsruher Institut für Technologie, Studiengang Geodäsie und Geoinformatik ; 2018,1
Bemerkung zur Veröffentlichung Verlagsausgabe zusätzlich registriert unter DOI: 10.5445/KSP/1000080231
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