The accuracy of astronomic azimuth determinations |
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| Authors: | William E Carter James E Pettey William E Strange |
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| Institution: | (1) National Geodetic Survey, C133, NOS, NOAA, 20852 Rockville, MD |
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| Abstract: | Astronomic azimuths are used in classical geodesy, through the Laplace equation, to control the orientation of geodetic networks.
The method most commonly used by the United States National Geodetic Survey for the determination of astronomic azimuth is
often referred to as the “direction method”, and is based on observations of Polaris at any hour angle.
We have analyzed repeat determinations, by analysis of variance (ANOVA) techniques, to derive realistic estimates of the expected
accuracy of typical astronomic azimuths to be used in the readjustment of the North American Datum.
We found that the dominant errors are systematic in nature, with a very important source being observer bias, or “personal
equation”. We were unable to decompose the remaining systematic error, which presumably consists primarily of instrument biases,
anomalous refraction, and setup errors.
We found, from an analysis of determinations that were first corrected for observer bias, an increase in the variance of repeat
azimuth determinations as a function of latitude that agrees reasonably well with theoretical expectations. |
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