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Information Journal Paper

Title

NUMERICAL DETERMINATION OF THE GEODESIC CURVES: THE SOLUTION OF A TWO-POINT BOUNDARY VALUE PROBLEM

Pages

  26-35

Abstract

 In this paper, we suggest a simple iterative method to find the GEODESIC path on a surface parameterized by orthogonal curvilinear system between two given points based on solving BOUNDARY VALUE PROBLEM. In this supposed method, an iterative algorithm is used for finding the sufficient initial values as the destination point agree with the boundary conditions. GEODESIC determination between two given points is formulated for a general surface, and specially tested for REFERENCE ELLIPSOID which has many applications in geosciences and geodesy. Accuracy of the method is independent on the distant between two points on the surface. Moreover, it can be used in aviation and sailings for finding the shortest path between start and destination points.

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  • Cite

    APA: Copy

    SEIF, MOHAMMAD REZA, & GHALENOEI, EMAD. (2018). NUMERICAL DETERMINATION OF THE GEODESIC CURVES: THE SOLUTION OF A TWO-POINT BOUNDARY VALUE PROBLEM. EARTH OBSERVATION AND GEOMATICS ENGINEERING, 2(1), 26-35. SID. https://sid.ir/paper/352343/en

    Vancouver: Copy

    SEIF MOHAMMAD REZA, GHALENOEI EMAD. NUMERICAL DETERMINATION OF THE GEODESIC CURVES: THE SOLUTION OF A TWO-POINT BOUNDARY VALUE PROBLEM. EARTH OBSERVATION AND GEOMATICS ENGINEERING[Internet]. 2018;2(1):26-35. Available from: https://sid.ir/paper/352343/en

    IEEE: Copy

    MOHAMMAD REZA SEIF, and EMAD GHALENOEI, “NUMERICAL DETERMINATION OF THE GEODESIC CURVES: THE SOLUTION OF A TWO-POINT BOUNDARY VALUE PROBLEM,” EARTH OBSERVATION AND GEOMATICS ENGINEERING, vol. 2, no. 1, pp. 26–35, 2018, [Online]. Available: https://sid.ir/paper/352343/en

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