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Truncation error formulas for the geoidal height and the deflection of the vertical
Abstract A general formula giving Molodenskii coefficientsQn of the truncation errors for the geoidal height is introduced in this paper. A relation betweenQn andqn, Cook’s truncation function, is also obtained. Cook (1951) has treated the truncation errors for the deflection of the vertical in the Vening Meinesz integration. Molodenskii et al. (1962) have also derived the truncation error formulas for the deflection of the vertical. It is proved in this paper that these two formulas are equivalent.
Truncation error formulas for the geoidal height and the deflection of the vertical
Abstract A general formula giving Molodenskii coefficientsQn of the truncation errors for the geoidal height is introduced in this paper. A relation betweenQn andqn, Cook’s truncation function, is also obtained. Cook (1951) has treated the truncation errors for the deflection of the vertical in the Vening Meinesz integration. Molodenskii et al. (1962) have also derived the truncation error formulas for the deflection of the vertical. It is proved in this paper that these two formulas are equivalent.
Truncation error formulas for the geoidal height and the deflection of the vertical
Hagiwara, Y. (author)
1972
Article (Journal)
Electronic Resource
English
Geodäsie , Geometrie , Geodynamik , Mathematik , Mineralogie
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