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Helmert's projection of a ground point onto the rotational reference ellipsoid in topocentric cartesian coordinates
Summary In order to derive the ellipsoidal height of a point $ P_{t} $, on the physical surface of the earth, and the direction of ellipsoidal normal through $ P_{t} $, we presente here an iterative procedure rapidly convergent to compute, in a topocentric Cartesian system, the coordinates of Helmert's projection of the ground point $ P_{t} $ onto the reference ellipsoid of revolution .We derive as well the cofactor matrix of total vector of the topocentric coordinates of the above ground point and of its Helmert's projection so that to compute the variance of ellipsoidal height.
Helmert's projection of a ground point onto the rotational reference ellipsoid in topocentric cartesian coordinates
Summary In order to derive the ellipsoidal height of a point $ P_{t} $, on the physical surface of the earth, and the direction of ellipsoidal normal through $ P_{t} $, we presente here an iterative procedure rapidly convergent to compute, in a topocentric Cartesian system, the coordinates of Helmert's projection of the ground point $ P_{t} $ onto the reference ellipsoid of revolution .We derive as well the cofactor matrix of total vector of the topocentric coordinates of the above ground point and of its Helmert's projection so that to compute the variance of ellipsoidal height.
Helmert's projection of a ground point onto the rotational reference ellipsoid in topocentric cartesian coordinates
Crocetto, N. (author) / Russo, P. (author)
Bulletin géodésique ; 69
1994
Article (Journal)
English
Geodäsie , Geometrie , Geodynamik , Zeitschrift , Mathematik , Mineralogie
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