## A Differential-Zenithal Method to Determine Astronomical Coordinates for High Latitudes

Transactions of IAA RAS, issue 45, 38–42 (2018)

**DOI**: 10.32876/ApplAstron.45.38-42

**Keywords**:
astronomical determinations in high latitudes, combined differential-zenithal method for determining latitude, electronic goniometer instruments.

### Abstract

The article proposes a solution of the problem of astronomical definitions in high latitudes, where only bright stars can be observed in the conditions of a polar day. For this reason, and also because of the increase in sighting errors, such classical methods of definitions as the methods of Talcott, Pevtsov and Tsinger become ineffective. To solve this problem, the author proposed a Combined DifferenceZenithal Method to Determine the Latitude (CDZM). The appearance in the geodetic production of goniometric tools with electronic counting of circles allows us to improve the method of astronomical definitions. Joint readings of the vertical and horizontal circles for the same moments of time make it possible to determine astronomical latitude and longitude by one pair. Couples of the combined differential-zenithal method are well suited for such determinations. Examples are given of recording observations, formulas for calculating latitude and longitude, and a conclusion is made about the operability of such definitions.

### Citation

`A. S. Glazunov. A Differential-Zenithal Method to Determine Astronomical Coordinates for High Latitudes // Transactions of IAA RAS. — 2018. — Issue 45. — P. 38–42.`

```
@article{glazunov2018,
abstract = {The article proposes a solution of the problem of astronomical definitions in high latitudes, where only bright stars can be observed in the conditions of a polar day. For this reason, and also because of the increase in sighting errors, such classical methods of definitions as the methods of Talcott, Pevtsov and Tsinger become ineffective. To solve this problem, the author proposed a Combined DifferenceZenithal Method to Determine the Latitude (CDZM). The appearance in the geodetic production of goniometric tools with electronic counting of circles allows us to improve the method of astronomical definitions. Joint readings of the vertical and horizontal circles for the same moments of time make it possible to determine astronomical latitude and longitude by one pair. Couples of the combined differential-zenithal method are well suited for such determinations. Examples are given of recording observations, formulas for calculating latitude and longitude, and a conclusion is made about the operability of such definitions.},
author = {A.~S. Glazunov},
doi = {10.32876/ApplAstron.45.38-42},
issue = {45},
journal = {Transactions of IAA RAS},
keyword = {astronomical determinations in high latitudes, combined differential-zenithal method for determining latitude, electronic goniometer instruments},
pages = {38--42},
title = {A Differential-Zenithal Method to Determine Astronomical Coordinates for High Latitudes},
url = {http://iaaras.ru/en/library/paper/1815/},
year = {2018}
}
```

```
TY - JOUR
TI - A Differential-Zenithal Method to Determine Astronomical Coordinates for High Latitudes
AU - Glazunov, A. S.
PY - 2018
T2 - Transactions of IAA RAS
IS - 45
SP - 38
AB - The article proposes a solution of the problem of astronomical
definitions in high latitudes, where only bright stars can be
observed in the conditions of a polar day. For this reason, and also
because of the increase in sighting errors, such classical methods of
definitions as the methods of Talcott, Pevtsov and Tsinger become
ineffective. To solve this problem, the author proposed a Combined
DifferenceZenithal Method to Determine the Latitude (CDZM). The
appearance in the geodetic production of goniometric tools with
electronic counting of circles allows us to improve the method of
astronomical definitions. Joint readings of the vertical and
horizontal circles for the same moments of time make it possible to
determine astronomical latitude and longitude by one pair. Couples of
the combined differential-zenithal method are well suited for such
determinations. Examples are given of recording observations,
formulas for calculating latitude and longitude, and a conclusion is
made about the operability of such definitions.
DO - 10.32876/ApplAstron.45.38-42
UR - http://iaaras.ru/en/library/paper/1815/
ER -
```