Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Non-singular expressions for vector and gradient tensor of gravitation in a geocentric spherical frame
University West, Department of Engineering Science, Division of Computer, Electrical and Surveying Engineering.ORCID iD: 0000-0003-0067-8631
2008 (English)In: Computers & Geosciences, ISSN 0098-3004, E-ISSN 1873-7803, Vol. 34, no 12, 1762-1768 p.Article in journal (Refereed) Published
Abstract [en]

The traditional expressions of the gravitational vector (GV) and the gravitational gradient tensor (GGT) have complicated forms depending on the first- and the second-order derivatives of associated Legendre functions (ALF), and also singular terms when approaching the poles. This article presents alternative expressions for the GV and GGT, which are independent of the derivatives, and are also non-singular. By using such expressions, it suffices to compute the ALF to two additional degrees and orders, instead of computing the first and the second derivatives of all the ALF. Therefore, the formulas are suitable for computer programming. Matlab software as well as an output of a numerical computation around the North Pole is also presented based on the derived formulas.

Place, publisher, year, edition, pages
2008. Vol. 34, no 12, 1762-1768 p.
Keyword [en]
Non-singularity, associated Legendre functions, normalization
National Category
Geophysics
Research subject
ENGINEERING
Identifiers
URN: urn:nbn:se:hv:diva-7902DOI: 10.1016/j.cageo.2008.02.022OAI: oai:DiVA.org:hv-7902DiVA: diva2:845884
Available from: 2015-08-13 Created: 2015-08-13 Last updated: 2017-12-04Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Authority records BETA

Eshagh, Mehdi

Search in DiVA

By author/editor
Eshagh, Mehdi
By organisation
Division of Computer, Electrical and Surveying Engineering
In the same journal
Computers & Geosciences
Geophysics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 35 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf