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Compensation of Automated Astronomical Theodolite Systematic Errors Due to Data Synchronization Failures

N. V. Kuzmina, S. M. Tarasov, V. V. Tsodokova

Transactions of IAA RAS, issue 71, 3–8 (2024)

Keywords: astronomic azimuth, astronomic coordinates, automated astronomical theodolite, error, data synchronization

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Abstract

The paper considers to the algorithmic compensation of the automated astronomical theodolite’s systematic errors in the astronomical longitudes as well as azimuths determination. The automated astronomical theodolite includes: an objective, a TV camera, a GNSS receiver, vertical and horizontal drives, a processing and control unit, a leveling system. The universal coordinated time (UTC) determination and synchronization signals generation are produced by the GNSS receiver. The TV camera records the frames with stars images in response to synchronization signals, and the UTC values are transmitted with each signal. In case of TV camera, satellite equipment or the software failures the frame may erroneously be referenced to the UTC and the Greenwich sidereal time of the frame registration may be calculated with error. As a result, the appearing systematic components of errors in astronomical longitudes and azimuths determination will not allow to provide the required accuracy characteristics of the automated astronomical theodolite. The effect of data synchronization errors on the accuracy of astronomical longitudes and azimuths determination is estimated and an algorithm for detecting and compensating these errors is proposed. It is suggested to detect and compensate for the error in determining the azimuth by the difference of astronomical observations obtained in two diametrically opposite directions of the sight axis (northwards and southwards of the zenith), and the errors in determining the longitude — using the reference value of the vertical deflection component in the prime vertical plane, taken from special maps or calculated, for example, by the gravimetric method. In addition, the conditions are formulated for successful implementation of the algorithmic compensation proposed, and the range of latitudes is determined in which these conditions can be met.

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N. V. Kuzmina, S. M. Tarasov, V. V. Tsodokova. Compensation of Automated Astronomical Theodolite Systematic Errors Due to Data Synchronization Failures // Transactions of IAA RAS. — 2024. — Issue 71. — P. 3–8.

@article{kuzmina2024,
  abstract = {The paper considers to the algorithmic compensation of the automated astronomical theodolite’s systematic errors in
the astronomical longitudes as well as azimuths determination. The automated astronomical theodolite includes: an objective, a TV camera, a GNSS receiver, vertical and horizontal drives, a processing and control unit, a leveling system. The universal coordinated time (UTC) determination and synchronization signals generation are produced by the GNSS receiver. The TV camera records the frames with stars images in response to synchronization signals, and the UTC values are transmitted with each signal. In case of TV camera, satellite equipment or the software failures the frame may erroneously be referenced to the UTC and the Greenwich sidereal time of the frame registration may be calculated with error. As a result, the appearing systematic components of errors in astronomical longitudes and azimuths determination will not allow to provide the required accuracy characteristics of the automated astronomical theodolite.
The effect of data synchronization errors on the accuracy of astronomical longitudes and azimuths determination is
estimated and an algorithm for detecting and compensating these errors is proposed. It is suggested to detect and compensate for the error in determining the azimuth by the difference of astronomical observations obtained in two diametrically opposite directions of the sight axis (northwards and southwards of the zenith), and the errors in determining the longitude — using the reference value of the vertical deflection component in the prime vertical plane, taken from special maps or calculated, for example, by the gravimetric method.
In addition, the conditions are formulated for successful implementation of the algorithmic compensation proposed,
and the range of latitudes is determined in which these conditions can be met.},
  author = {N.~V. Kuzmina and S.~M. Tarasov and V.~V. Tsodokova},
  doi = {10.32876/ApplAstron.71.3-8},
  issue = {71},
  journal = {Transactions of IAA RAS},
  keyword = {astronomic azimuth, astronomic coordinates, automated astronomical theodolite, error, data synchronization},
  pages = {3--8},
  title = {Compensation of Automated Astronomical Theodolite Systematic Errors Due to Data Synchronization Failures},
  url = {http://iaaras.ru/en/library/paper/2196/},
  year = {2024}
}

TY  - JOUR
TI  - Compensation of Automated Astronomical Theodolite Systematic Errors Due to Data Synchronization Failures
AU  - Kuzmina, N. V.
AU  - Tarasov, S. M.
AU  - Tsodokova, V. V.
PY  - 2024
T2  - Transactions of IAA RAS
IS  - 71
SP  - 3
AB  - The paper considers to the algorithmic compensation of the automated
astronomical theodolite’s systematic errors in  the astronomical
longitudes as well as azimuths determination. The automated
astronomical theodolite includes: an objective, a TV camera, a GNSS
receiver, vertical and horizontal drives, a processing and control
unit, a leveling system. The universal coordinated time (UTC)
determination and synchronization signals generation are produced by
the GNSS receiver. The TV camera records the frames with stars images
in response to synchronization signals, and the UTC values are
transmitted with each signal. In case of TV camera, satellite
equipment or the software failures the frame may erroneously be
referenced to the UTC and the Greenwich sidereal time of the frame
registration may be calculated with error. As a result, the appearing
systematic components of errors in astronomical longitudes and
azimuths determination will not allow to provide the required
accuracy characteristics of the automated astronomical theodolite.
The effect of data synchronization errors on the accuracy of
astronomical longitudes and azimuths determination is  estimated and
an algorithm for detecting and compensating these errors is proposed.
It is suggested to detect and compensate for the error in determining
the azimuth by the difference of astronomical observations obtained
in two diametrically opposite directions of the sight axis
(northwards and southwards of the zenith), and the errors in
determining the longitude — using the reference value of the vertical
deflection component in the prime vertical plane, taken from special
maps or calculated, for example, by the gravimetric method.  In
addition, the conditions are formulated for successful implementation
of the algorithmic compensation proposed,  and the range of latitudes
is determined in which these conditions can be met.
DO  - 10.32876/ApplAstron.71.3-8
UR  - http://iaaras.ru/en/library/paper/2196/
ER  -