Journal of the Geodetic Society of Japan

The Direct Transformation in Two Neighbouring Japanese Public Coordinate Systems

Takehisa HARADA, Mitsuru ICHIHARA

1963 Volume 9 Issue 1 Pages 1-6
Published: August 30, 1963
Released on J-STAGE: March 01, 2011

DOIhttps://doi.org/10.11366/sokuchi1954.9.1

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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_o' =m_oN_o 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.

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Analysis of Two-Dimensional Gravity Problem by an Automatic Computer

Hiroo KANAMORI, Masanori SATTO

1963 Volume 9 Issue 1 Pages 7-13
Published: August 30, 1963
Released on J-STAGE: September 07, 2010

DOIhttps://doi.org/10.11366/sokuchi1954.9.7

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In order to determine the crustal structure from the observed gravity anomalies, the attraction of local geological structure should be removed from the data. In that case it is necessary to calculate the gravitational attraction of the given structure. In two dimensional problems, the "line integral method" developed by Hubbert can conveniently be used for this purpose. In this paper, we have slightly supplemented and extended the method by Talwani, Worzel, and Landisman, and also attempted to investigate the problem of determining the structure from the given gravity anomalies. Several examples are presented to illustrate the applicability of our method.

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On the Mincing of the Reading-Intervals in the Earth Tidal Analyses

IZUO OZAWA

1963 Volume 9 Issue 1 Pages 14-21
Published: August 30, 1963
Released on J-STAGE: March 01, 2011

DOIhttps://doi.org/10.11366/sokuchi1954.9.14

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Recently, the speeds of the records in the observations of the crustal strains are being increased higher and higher. So, the present author has devised the method of the tidal analyses in which the tidal heights in every 30 minute are used. The drift of the tidal heights is eliminated by means of the process which is derived from an amendment of Pertsev's selective means to adapt for the series of every 30 minute's reading values. The process of the tidal analysis for this series is derived from rearrangement of Darwin's one.
The recording-curves of the linear strain which are observed with a highly sensitive extensometer in the direction of S52°E at Osakayama are analyzed by means of the author's method (every 30 minute's height method) and by the combined method of Pertsev's driftelimination-process and Darwin's tidal analysis one, and then the both results are studiedcomparatively.
According to the results, the differences of the amplitudes are 2.5% in M₂-tide, 15.6%O₁-tide, and the differences of the phase lags are 32' and 2°54' in M₂-tide and O₁-tide, respectively, in these both processes. And the values of the higher orders are hardly able to believe in the process by using the every hourly height only.
The addition of the labour due to the use of the every 30 minute's height in these analyses is only about 40% of that of the every hourly one.

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Report on the Triangulation in Japan for the Period from Jan. 1960 to Dec. 1962

1963 Volume 9 Issue 1 Pages 31-32_1
Published: August 30, 1963
Released on J-STAGE: March 01, 2011

DOIhttps://doi.org/10.11366/sokuchi1954.9.31

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Report on the Levelling in Japan for the Period from Jan. 1960 to Dec. 1962

1963 Volume 9 Issue 1 Pages 33-35_1
Published: August 30, 1963
Released on J-STAGE: September 07, 2010

DOIhttps://doi.org/10.11366/sokuchi1954.9.33

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Report on the Geodetic Astronomy in Japan for the period from Jan. 1960 to Dec. 1962

1963 Volume 9 Issue 1 Pages 36-40_1
Published: August 30, 1963
Released on J-STAGE: March 01, 2011

DOIhttps://doi.org/10.11366/sokuchi1954.9.36

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The astronomical survey of the land of Japan was carried out mainly by the Geographical Survey Institute. The continuous observations of latitude have been made at the International Latitude Observatory of Mizusawa, the Tokyo Astronomical Observatory, and the Kanozan Geodetic Observatory of G. S. I.

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Report on the Gravimetry in Japan for the Period from Jan. 1960 to Dec. 1962

1963 Volume 9 Issue 1 Pages 41-47_1
Published: August 30, 1963
Released on J-STAGE: September 07, 2010

DOIhttps://doi.org/10.11366/sokuchi1954.9.41

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