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The computation of long geodesics on the ellipsoid through Gaussian quadrature

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Abstract

Formulas for computing geodesics on the bi-axial ellipsoid through Gaussian quadrature are shown; the estimation of computational errors, truncation and roundoff errors, for the quadrature is carried out; and test examples found in [3] together with those which consist of near anti-podal points on the neighborhood of the equator, are computed with the evaluation of the computational errors.

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References

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Saito, T. The computation of long geodesics on the ellipsoid through Gaussian quadrature. Bull. Geodesique 53, 165–177 (1979). https://doi.org/10.1007/BF02521087

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  • DOI: https://doi.org/10.1007/BF02521087

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