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Convergence and optimal truncation of binomial expansions used in isostatic compensations and terrain corrections
KTH, Superseded Departments, Infrastructure.
2001 (English)In: Journal of Geodesy, ISSN 0949-7714, E-ISSN 1432-1394, Vol. 74, no 9, 627-636 p.Article in journal (Refereed) Published
Abstract [en]

A binomial expansion is a powerful tool in geodetic research. It is often used in terrain correction and isostatic compensation. The behaviour, convergence and truncation of the binomial expansion are investigated. The relation of the topographic height H (or the compensation depth), spherical harmonic degree n and the binomial series term m is discussed using theoretical and numerical results. According to the relation. a truncation number M is determined for obtaining an accuracy of 1%, i.e, it can be found how many terms (or power numbers of the topography) should be used in practical calculations.

Place, publisher, year, edition, pages
2001. Vol. 74, no 9, 627-636 p.
URN: urn:nbn:se:kth:diva-20359ISI: 000166903200002OAI: diva2:339054
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

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Sjöberg, Lars Erik
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