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Vol 26 No 1
Pages:
137-140
Download volume:
RUS
Research article
Mine survey

Notes on the derivation of formulas for determining the direction error from the eccentricity of the theodolite or signals

Authors:
Z. D. Nizguretskii
Date submitted:
1951-07-01
Date accepted:
1951-09-29
Date published:
1952-03-26

Abstract

For assessing the impact of a design error on the accuracy of transmitting directions to a mine, existing mine surveying guidelines usually recommend formula (1) (see article). Using the same reasoning, a well-known formula is usually derived for assessing the accuracy of measuring angles in polygons depending on the impact of signal and instrument eccentricity. The above conclusion does not answer the question: what kind of error should be understood by the value of ex, which in existing guidelines is usually called the "average linear error" [1] or simply "linear error" [2]. Clarification of the meaning of the error ex is absolutely necessary when making practical calculations, since several characteristics of position accuracy are used in error theory, among which the most commonly used are the average linear error of position and the average linear error in direction.

Keywords:
design error mine surveying
Низгурецкий З.Д. Замечания к выводу формул для определения ошибки направления от эксцентриситета теодолита или сигналов // Записки Горного института. 1952. Т. № 1 26. С. 137-140.
Nizguretskii Z.D. Notes on the derivation of formulas for determining the direction error from the eccentricity of the theodolite or signals // Journal of Mining Institute. 1952. Vol. № 1 26. p. 137-140.
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References

  1. Гусев М.И. Курс маркшейдерского дела, ч. I, 1949.
  2. Бахурин И.М. и др., Курс маркшейдерского дела, ч. II, 1949.
  3. Ющенко А.П. Замечание к вопросу о средней квадратической ошибке положения точки, Труды Гидрографического института, вып. 1, 1939.

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