Desenvolvimento de algoritmos para o cálculo de integrais elípticas de primeira e segunda ordens por meio da Ttransformação de Landen

Authors

  • NORBERT RÖSCH Universität Karlsruhe

DOI:

https://doi.org/10.5380/bcg.v17i1.21155

Keywords:

Arc of Meridian, Numerical Integration, Elliptic Integral, Landen- Transformation.

Abstract

This paper deals with elliptic integrals of first and second kind and their solution by Landen-transformation. It is explained how the Landen-transformation works and how the different algorithms can be used in geodetic problem solving. The algorithms are recursive and thus easy to implement and stable. Further on the testing is quite simple. The numerical results of the  Landen-transformation are compared to this computed with Maple V to show the exactness of the algorithms. For two algorithms the source-code is depicted.

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Published

2011-04-02

How to Cite

RÖSCH, N. (2011). Desenvolvimento de algoritmos para o cálculo de integrais elípticas de primeira e segunda ordens por meio da Ttransformação de Landen. Bulletin of Geodetic Sciences, 17(1). https://doi.org/10.5380/bcg.v17i1.21155

Issue

Vol. 17 No. 1 (2011)

Section

Article

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