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Numerical determination of the geodesic curves: the solution of a two-point boundary value problem | ||
| Earth Observation and Geomatics Engineering | ||
| مقاله 3، دوره 2، شماره 1، شهریور 2018، صفحه 26-35 اصل مقاله (1.01 M) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22059/eoge.2018.257564.1023 | ||
| نویسندگان | ||
| Mohammad Reza Seif* 1؛ Emad Ghalenoei2 | ||
| 1Department of Surveying Engineering, Arak University of Technology, Arak, Iran | ||
| 2Department of Geomatics Engineering, University of Calgary, Calgary, Alberta, Canada | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Geodesic؛ geodetic computation؛ Boundary Value Problem؛ Reference ellipsoid | ||
| مراجع | ||
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