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Hotine’s conjecture in differential geodesy
Abstract In this paper we present a critical examination of a conjecture ofMartin Hotine on the possibility of employing the geopotential function of the Earth’s gravitational field as a member of a triply orthogonal system of surfaces. If such a conjecture were valid, it would provide a natural triply orthogonal system of coordinates which would be of significance in mathematical geodesy. It is shown that Hotine’s arguments are inadequate to prove his conjecture, and finally that his conjecture is false.
Hotine’s conjecture in differential geodesy
Abstract In this paper we present a critical examination of a conjecture ofMartin Hotine on the possibility of employing the geopotential function of the Earth’s gravitational field as a member of a triply orthogonal system of surfaces. If such a conjecture were valid, it would provide a natural triply orthogonal system of coordinates which would be of significance in mathematical geodesy. It is shown that Hotine’s arguments are inadequate to prove his conjecture, and finally that his conjecture is false.
Hotine’s conjecture in differential geodesy
Zund, J. D. (author) / Moore, W. (author)
Bulletin géodésique ; 61
1987
Article (Journal)
English
Geodäsie , Geometrie , Geodynamik , Zeitschrift , Mathematik , Mineralogie
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