The Three-point Problem of The Median Line Turning Point: on the Solutions for the Sphere and Ellipsoid

Abstract

University, and, after a short return to KTH, he worked for the National Land Survey of Sweden to 1984, when he succeeded A. Bjerhammar as professor in geodesy. Through the years he has been a member of several IAG special study groups (chairing three of them) and commissions, and he is an IAG Fellow since 1991. He is a presidium member of the Nordic Geodetic Commission since 1982, a Fellow of the Alexander-von-Humboldt Foundation since 1983 and a corresponding member of the German Geodetic Commission since 1989. His research interests are in the fields of geodetic theory of errors, physical geodesy, GPS positioning and deformation analysis. From 1989 to 1995 he served in the editorial boards of Manuscripta Geodaetica and Bulletine Geodesique, and he has published about 200 scientific papers and reports. The problem of determining turning points of median lines between states separated by sea is considered. The turning point is defined as the point with equidistance lines to two basepoints along the shoreline of one state and one basepoint in the adjacent state. For the sphere the equidistance lines are parts of great circles, and the problem is solved by closed formulas. For the ellipsoid the lines are defined along geodesics, and an iterative solution is presented. 1

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