On the correction of stellar proper motions for random error

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astrometry, Correction, Position Errors, Random Errors, Stellar Motions, Computer Techniques, Error Analysis, Root-Mean-Square Errors, Statistical Correlation

Scientific paper

Data in astronomical research include measured quantities, derived from observations which are distorted by the effects of both systematic and random errors. Eddington (1913, 1940) has developed two procedures for eliminating the influence of random or accidental error upon observational results. The first method makes it possible to express the distribution function of the true values of x in terms of the distribution function of the measured quantity. The second procedure is concerned with the calculation of the mean true value of the parameter x corresponding to the value derived from the observations. As the second procedure is less well known that the first, it is described in more detail. Attention is also given to a method proposed by Loktin (1980) for the correction of low-accuracy stellar proper motions with respect to random error effects.

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