Journal of the Geodetic Society of Japan
Online ISSN : 2185-517X
Print ISSN : 0038-0830
ISSN-L : 0038-0830
Search
Advanced search
OR
Browse
Search
Volume 6, Issue 3
Displaying 1-5 of 5 articles from this issue
Show all abstracts
    • |<
    • <
    • 1
    • >
    • >|
  • Formula for Calculating Latitude of a Point when Meridian. length from Equator to it is given
    By Takehisa HARADA
    1960 Volume 6 Issue 3 Pages 75-77
    Published: December 20, 1960
    Released on J-STAGE: September 07, 2010
    DOIhttps://doi.org/10.11366/sokuchi1954.6.75
    JOURNAL FREE ACCESS
    Show abstractHide abstract
    The inverse problem of this title, formula for calculating meridian-length (M) from equator to a point when its latitude (ψ) is given, is already well-known to us. For example, the expansion of the exact elliptic integral formula in series in terms of powers of e2 till e10 is given in Jordan-Eggert: Handbuch der Vermessungskunde III-1, to which the equations (1), (2) and (3) in my short paper are referred. I have not ever seen the formula for the above title . I suppose, this is due to the following two reasons : first, once the table for calculating M from ψ is made, ψ is easily found by inversely interpolating it; second, the formula of the title is not so simple as its inverse formula (2). However, as I do not think it worthless to introduce the formula of the title, I tried to do it. A series in terms of powers of e2 till e8 is obtained by inversely expanding after the method of successive approximation, (equations (5), (6) and (7)). They are apparently intricate as compared with the inverse formula, because our exact formula is not expressed as a simple integral function of M in itself . The higher are powers of e2, the more rapidly increases the number of harmonics contained in them . The term of e8 has 14 harmonics, but only 5 harmonics in the inverse problem. The effect of the term of e8 is, however, very small over a quarter of the surrounding circle of the ellipsoid. Even if we neglect the term of e8, we can find sufficiently correct value of ψ till 10-4 second . When we do so, the equation (6) is shortened about half and becomes a little easy for use.
    View full abstract
    Download PDF (278K)
  • Upward Continuation of Gravitational Potential and Force for a Spherical Earth.
    Chuji TSUBOI
    1960 Volume 6 Issue 3 Pages 78-84
    Published: December 20, 1960
    Released on J-STAGE: September 07, 2010
    DOIhttps://doi.org/10.11366/sokuchi1954.6.78
    JOURNAL FREE ACCESS
    Show abstractHide abstract
    Expressions for the gravitational potential and force at a point (not necessarily on the earth's axis) at any higher elevation of a spherical earth have been obtained in a simple summation series form in terms of zonal averages of surface gravity anomalies taken around the axis passing through the point . Numerical values to be multiplied to zonal averages of gravity anomalies in order to obtain the potential and force are given in tables . If the elevation is zero, our values for the potential naturally agree with those of Lambert's Φ function.
    View full abstract
    Download PDF (775K)
  • On a High Sensitive Water Tube Tiltmeter and its Application to the Earth Tides.
    Kenshirô TSUMURA
    1960 Volume 6 Issue 3 Pages 85-88
    Published: December 20, 1960
    Released on J-STAGE: September 07, 2010
    DOIhttps://doi.org/10.11366/sokuchi1954.6.85
    JOURNAL FREE ACCESS
    Show abstractHide abstract
    In this paper, a water tube tiltmeter is newly designed to observe the earth tides by the method of mechanical magnification. The magnifying device is shown in Fig. 1. The mechanism of the device is similar to that of the vertical extensometer of sagging wire and bifilar suspension type: i. e. the vertical motion of the float (7) is transformed into the horizontal motion of two light alminum bars (4) of 2 gr. weight. This motion is transformed into the deflection of the reflecting mirror (6) by the bifilar suspension (5) of phosphor bronze strips. The sensitivity of the device is, with optical distance of 2.5 m., about 0.08/2 of water level change per mm. on the record. This is sensitive enough to observe the earth tides, using water tube of 10 m. long. In Fig. 3 is shown an example of a tiltgram observed at Osakayama Observatory. The records are tentatively analyzed.
    View full abstract
    Download PDF (420K)
  • A Method for Analytical Aerial Triangulation.
    Ryokiti KAMIYA
    1960 Volume 6 Issue 3 Pages 89-96
    Published: December 20, 1960
    Released on J-STAGE: September 07, 2010
    DOIhttps://doi.org/10.11366/sokuchi1954.6.89
    JOURNAL FREE ACCESS
    Show abstractHide abstract
    Here will be shown a summary of our theory and experiences for analytical aerialtriangulation. We set two steps, one is called the semi-analytical and the other the pure-analytical, for convenience to application. The semi-analytical is already in routine work in our factory for more than one year. On the other hand, the pure-analytical is almost ready to be taken in our daily work. For pure-analytical method, we use one of two cameras of Autograph A 7 to measure photographic coordinates, as a single comparator, after transterring the pass points with the aid of point-transfer device designed in our factory. A particular feature of our method is that computations are dond as though we made extention on Autograph A8. Consequently the method has an advantage also in the point that it gives us accurate orientation elements for Autograph A8, prior to plotting.
    View full abstract
    Download PDF (2088K)
  • [title in Japanese]
    [in Japanese]
    1960 Volume 6 Issue 3 Pages 97-117
    Published: December 20, 1960
    Released on J-STAGE: September 07, 2010
    DOIhttps://doi.org/10.11366/sokuchi1954.6.97
    JOURNAL FREE ACCESS
    Download PDF (3633K)
    • |<
    • <
    • 1
    • >
    • >|
feedback
 Top