The Direct Transformation in Two Neighbouring Japanese Public Coordinate Systems
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概要
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Three kinds of geodesic plane coordinate systems are commonly used in our country: old, Japanese Public and U. T. M. coordinate systems. Old system is based on the Gauss' double projection, and both Japanese Public and U.T.M. systems are intrinsically based on the Gauss-Krüger's projection. In the preceding papers [1] and [2], the author derived the formulas and tables that are necessary in direct transformation of the coordinates of both Japanese Public and U. T. M. systems. Consequently, in this paper theoretical discussion of the direct transformation of coordinates is mostly omitted. The transformation formula (4) corresponds to the case of the Gauss-Krüger's projection. In consequence of a certain difference between the Gauss-Krüger's and Japanese Public coordinates, the author modified eq. (4) a little, and obtained the new formula (9) for the case of the Japanese Public coordinate. It is shown that if we take in eq. (4) N<SUB>o</SUB>' =m<SUB>o</SUB>N<SUB>o</SUB> instead of N0, and change the Gauss-Krd1ger's coordinate to the Japanese Public coordinate, eq. (4) coincides with eq. (9). The practical formulas of calculation are summarized in Section 3. Numerical valuesof the constants in these formulas are listed in the table. In Section 5 a numerical example in a case of the most unfavorable condition of the convergence is computed. From this example we may conclude that the terms with suffix 4 in these formulas are ineffective in usual case.
- 日本測地学会の論文
日本測地学会 | 論文
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