APPROXIMATION OF THE DISTANCE IN THE SPHERE THROUGH OF THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEM ASSOCIATED TO GEODESICS

Authors

DOI:

https://doi.org/10.17268/sel.mat.2016.02.07

Keywords:

Intrinsec distance, geodesic distance, geodesics, sphere, initial value problem, approximation

Abstract

In this paper, we proposes an algorithm to approximate the Geodesic distance between points p and q of sphere, through the numerical solution of initial value problem associated with the system of ordinary differential equations of the geodesics; for this an appropriate direction is obtained.

References

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Noakes, J. L. A Global Algorithm for Geodesics, Journal of the Australian Mathematical Society, 1998.

Wesolowsky, G. O. Location problems on a sphere. Regional Science and Urban Economics, 1982, vol. 12, no 4, p. 495-508.

Rubio, Franco. Aproximación de la distancia en el plano a través de la solución numérica de problemas de valor inicial asociados a Geodésicas. Selecciones Matemáticas, 2015, vol. 2, no 02, p. 81-91.

Do Carmo, Manfredo. Differential geometry of curves and surfaces. Englewood Cliffs: Prentice-hall, 1976.

Mangalika, Dedigama. Spherical Location Problems with Restricted Regions and Polygonal Barriers. 2005.

Donnay, Joseph D. Spherical trigonometry. Read Books Ltd, 2013.

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Published

2016-12-11

How to Cite

Rubio, F., & León, R. (2016). APPROXIMATION OF THE DISTANCE IN THE SPHERE THROUGH OF THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEM ASSOCIATED TO GEODESICS. Selecciones Matemáticas, 3(02), 113-123. https://doi.org/10.17268/sel.mat.2016.02.07

Issue

Vol. 3 No. 02 (2016): August - December

Section

Articles

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