On reduction of results of joint astronomical, geodetic, and geophysical observations to one geometrical centre
There are tasks, for which decision it is necessary to determine small temporal changes of various astronomical, geodetic and geophysical parameters in any epoch in the same place and to reduce results of measurements to the same geometrical centre. In the paper is informed, how this reducing task...
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| Опубліковано в: : | Кинематика и физика небесных тел |
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| Дата: | 2005 |
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| Формат: | Стаття |
| Мова: | Англійська |
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Головна астрономічна обсерваторія НАН України
2005
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On reduction of results of joint astronomical, geodetic, and geophysical observations to one geometrical centre / M. Tyshchuk, A. Gozhy // Кинематика и физика небесных тел. — 2005. — Т. 21, № 5-додаток. — С. 369-371. — Бібліогр.: 5 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1859628816877486080 |
|---|---|
| author | Tyshchuk, M. Gozhy, A. |
| author_facet | Tyshchuk, M. Gozhy, A. |
| citation_txt | On reduction of results of joint astronomical, geodetic, and geophysical observations to one geometrical centre / M. Tyshchuk, A. Gozhy // Кинематика и физика небесных тел. — 2005. — Т. 21, № 5-додаток. — С. 369-371. — Бібліогр.: 5 назв. — англ. |
| collection | DSpace DC |
| container_title | Кинематика и физика небесных тел |
| description | There are tasks, for which decision it is necessary to determine small temporal changes of various astronomical, geodetic and geophysical parameters in any epoch in the same place and to reduce results of measurements to the same geometrical centre. In the paper is informed, how this reducing task is decided at experimental station of joint observations in the Stepanivka village.
|
| first_indexed | 2025-11-29T14:14:50Z |
| format | Article |
| fulltext |
ON REDUCTION OF RESULTS OF JOINT ASTRONOMICAL,
GEODETIC, AND GEOPHYSICAL OBSERVATIONS
TO ONE GEOMETRICAL CENTRE
M. Tyshchuk, A. Gozhy
Poltava Gravimetrical Observatory, NAS of Ukraine
27/29 Myasoedova Str., 36029 Poltava, Ukraine
e-mail: pgo@poltava.ukrtel.net
There are tasks, for which decision it is necessary to determine small temporal changes of various
astronomical, geodetic and geophysical parameters in any epoch in the same place and to reduce
results of measurements to the same geometrical centre. In the paper is informed, how this reducing
task is decided at experimental station of joint observations in the Stepanivka village.
INTRODUCTION
In modern geodesy and geophysics there are a lot of scientific and practical tasks, which decision requires to
determine small temporal changes of spatial position of a site, value and direction of a gravity, other geodetic
and geophysical parameters from observations in the same place [1, 2]. At such determinations all basic results
of observations in any epoch should be referred to the same geometrical centre. However, practically it is
impossible to combine all kinds of observations at the geometrical centre. Usually, they are carried out on
the auxiliary centres, which are placed near to basic centre. Then, all results reduced to one main centre by
additional linear and angular measurements.
SET OF OBSERVATIONS SITES
In the Poltava Gravimetrical Observatory the experimental station of joint astronomical, geodetic and geo-
physical observations (JAGGO) is created for determination of changes of a spatial position of sites, value and
direction of a gravity, other geodetic and geophysical parameters. The station is in the Stepanivka village at
the base of the laboratory building of the URAN-2 radio telescope [3, 5]. It consists of four sites of observations
(Fig. 1):
1. basic site for geophysical and astronomical determinations;
2. site of geodetic determinations of coordinate changes;
3. site of linear-angular geodetic determinations;
4. site of geodetic and geophysical determinations.
Main 1m and additional 1a bases of site 1 with the geometrical centres are in underground floor of the labo-
ratory building. The site 2 is located on a roof of this two-storeyed building. The sites 3 and 4 are placed in
pavilions of the second floor of the building. In 380 m to north from the basic site is azimuth bench mark AM .
REDUCING MICRONETWORK
In all cases, when one part of observations at the station is made on a terrestrial surface or above it, and other
part of observations is made in underground rooms, the linear elements of reductions can amount to several tens
meters. It causes necessity for creation of special reducing linear-angular network for determination of position
of all additional centres relatively basic one at the station of joint observations.
In Fig. 1 the scheme of horizontal location of the reducing network of a microtrilateration is given. It consists
of three triangles. The linear measurements in the network will be carried out by measuring tapes, wires and
other means. The reduction of the measured lines to horizon and measurement of the elevations between sites
is carried out by geometrical levelling method. For orientation of the network on an azimuth, the horizontal
angles between the direction site2 − AM , which azimuth is known, and sides of the network will be measured.
c© M. F. Tyshchuk, A. V. Gozhy, 2004
369
Figure 1. Scheme of horizontal location of the observations sites and general view on reducing micronetwork (1m is
the main geometrical centre and 1a is the additional geometrical centre of the basic site 1 for geophysical and astronomical
determinations; 2 is the site of geodetic determinations of coordinate changes; 3 is the site of linear-angular geodetic
determinations; 4 is the site of geodetic and geophysical determinations; AM is the azimuth bench mark; A is the azimuth,
b is the length of side of triangle 1m − 2 − 1a)
SCHEME OF REDUCING MEASUREMENTS
Let us in details consider an example of reduction of GPS-measurements results at the site 2 of geodetic
determinations to the centres of main 1m and additional 1a bases of site 1 for geophysical and astronomical
observations. To determine elements of reduction, it is necessary to make the following steps (Fig. 2):
1. Above vertical holes through all floors of the building, which are above the centres 1m and 1a, to set
tripods 5 and 6, to which are suspended measuring tapes 7 and 8 with plummets, which are centered
above the centres.
2. At the centres 1m, 1a, and 2 to set levelling staffs 14, 15, and 16.
3. To set levels 10 and 11, to give horizontal directions 12 and 13.
4. For determination of inclined distance 1m− 1a to stretch measuring tape 9 in immediate proximity from
the vertically set tapes 7 and 8. Then, tape 9 is transferred for measurements of inclined distances between
vertical directions 7 − 2 and 2 − 8.
5. From levelling to receive the elevations Δh(2−1m), Δh(2−1a), and Δh(1m−1a) between the appropriate
centres.
6. From readings on measuring tapes 7, 8 and levelling staff 16 in places of their contact with tape 9 to
receive elevations between extreme points of the appropriate inclined distances. To determine horizontal
distances b(2−1m), b(2−1a), and b(1m−1a).
7. At the centre 2 to measure horizontal angles between the sides of the network and direction on azimuth
bench mark AM for determination of the azimuths A(2−1m) and A(2−1a).
8. To determine heights of the centres 1m and 1a by the simple formulas:
H1m = H2 − Δh(2−1m),
H1a = H2 − Δh(2−1am).
(1)
370
Figure 2. Scheme of vertical location of geometrical centres, determination of elevations and measurement of inclined
distances (1m is the main geometrical centre; 1a is the additional geometrical centre; 2 is the geometrical centre of
the site of geodetic determinations; 3 is the roof of the building; 4 are the vertical holes through all floors of the building;
5 and 6 are the tripods; 7 and 8 are the vertical measuring tapes with plummets; 9 is the tape for measurement of
inclined distances; 10 and 11 are the levels; 12 and 13 are the horizontal directions; 14, 15, 16 are the levelling staffs)
9. To determine latitudes and longitudes of the centres 1m and 1a by the known formulas [4]:
ϕ1m = ϕ2 + ρ /M2 · b(2−1m) · cosA(2−1m),
ϕ1a = ϕ2 + ρ /M2 · b(2−1a) · cosA(2−1a),
(2)
λ1m = λ2 + ρ /N2 · b(2−1m)/15 · sin A(2−1m)/ cosϕ2,
λ1a = λ2 + ρ /N2 · b(2−1a)/15 · sin A(2−1a)/ cosϕ2.
(3)
Here ρ is the radian in arcseconds, M2 is the radius of meridian curvature in point 2, N2 is the radius of prime
vertical curvature in point 2.
[1] Gozhy A. V. On expediency of creation in Ukraine of several points of joint astronomical, geodetic and geophysical
observations in deep vertical mines // Geodesy, Cartography and Aerosurvey.–Lviv, 2000.–N 60.–P. 11–15.
[2] Gozhy A. Substantiation of expediency of creation in Ukraine a special network of points of joint complex as-
tronomical, geodetic and geophysical observations for changes of their spatial position.–Modern Achievements of
Geodetic Science and Manufactures.–Lviv, 2003.–P. 98–102. (in Ukrainian).
[3] Gozhy A., Tyshchuk M. Creation of station of joint astronomical, geophysical and geodetic observations for geo-
dynamics // Kinematics and Physics of Celestial Bodies. Suppl. Ser.–1999.–N 1.–P. 113–114.
[4] Kuznetsov A. N. Geodetic astronomy.–Moscow: Nedra, 1966.–372 p. (in Russian).
[5] Tyshchuk M., Gozhy A. Creation of experimental station of joint astronomical, geodetic and geophysical
observations.–Modern Achievements of Geodetic Science and Manufactures.–Lviv, 2003.–P. 103–109. (in Ukrainian).
371
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| id | nasplib_isofts_kiev_ua-123456789-79678 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0233-7665 |
| language | English |
| last_indexed | 2025-11-29T14:14:50Z |
| publishDate | 2005 |
| publisher | Головна астрономічна обсерваторія НАН України |
| record_format | dspace |
| spelling | Tyshchuk, M. Gozhy, A. 2015-04-03T18:37:52Z 2015-04-03T18:37:52Z 2005 On reduction of results of joint astronomical, geodetic, and geophysical observations to one geometrical centre / M. Tyshchuk, A. Gozhy // Кинематика и физика небесных тел. — 2005. — Т. 21, № 5-додаток. — С. 369-371. — Бібліогр.: 5 назв. — англ. 0233-7665 https://nasplib.isofts.kiev.ua/handle/123456789/79678 There are tasks, for which decision it is necessary to determine small temporal changes of various astronomical, geodetic and geophysical parameters in any epoch in the same place and to reduce results of measurements to the same geometrical centre. In the paper is informed, how this reducing task is decided at experimental station of joint observations in the Stepanivka village. en Головна астрономічна обсерваторія НАН України Кинематика и физика небесных тел MS4: Positional Astronomy and Global Geodynamics On reduction of results of joint astronomical, geodetic, and geophysical observations to one geometrical centre Article published earlier |
| spellingShingle | On reduction of results of joint astronomical, geodetic, and geophysical observations to one geometrical centre Tyshchuk, M. Gozhy, A. MS4: Positional Astronomy and Global Geodynamics |
| title | On reduction of results of joint astronomical, geodetic, and geophysical observations to one geometrical centre |
| title_full | On reduction of results of joint astronomical, geodetic, and geophysical observations to one geometrical centre |
| title_fullStr | On reduction of results of joint astronomical, geodetic, and geophysical observations to one geometrical centre |
| title_full_unstemmed | On reduction of results of joint astronomical, geodetic, and geophysical observations to one geometrical centre |
| title_short | On reduction of results of joint astronomical, geodetic, and geophysical observations to one geometrical centre |
| title_sort | on reduction of results of joint astronomical, geodetic, and geophysical observations to one geometrical centre |
| topic | MS4: Positional Astronomy and Global Geodynamics |
| topic_facet | MS4: Positional Astronomy and Global Geodynamics |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/79678 |
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