Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

An application of the multivariate Lagrange-Bürmann expansion in mathematical geodesy


Authors: P. Henrici and G. R. Wilkens
Journal: Quart. Appl. Math. 45 (1987), 165-172
MSC: Primary 86A30
DOI: https://doi.org/10.1090/qam/885178
MathSciNet review: 885178
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Abstract: In the simplified model of geodesy where the earth is conceived as a rotational ellipsoid, if the eccentricity of the ellipsoid is to be determined from gravity measurements, an equation of the form $ y = x - zh\left( x \right)$ is to be solved for $ x$, where $ y$ and $ z$ are small parameters whose values can be measured and $ h$ is a known function. We obtain the expansion of $ x$ in powers of $ y$ and $ z$ by means of the general Lagrange--Bürmann formula.


References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/qam/885178
Article copyright: © Copyright 1987 American Mathematical Society

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