Аналитические выражения отклонений между оценками положений небесных объектов в задаче отождествления CCD-кадра

Abstract

В данной статье предложено уточнение выражений для аналитического расчета отклонений различных оценок положения звездного объекта в экваториальной системе координат, минимум суммы которых является критерием совершенного паросочетания в задаче отождествления астрономического CCD-кадра со звездным каталогом. Уточнение представленных в статье формул для отклонений различных оценок экваториальных координат небесных объектов позволяют повысить точность наблюдений в современной наблюдательной астрономии.

Clarification of the expressions for the analytical calculation of deviations of different assessments of the stellar object in the equatorial coordinate system is suggested in the article. It is advisable to use specified deviation in equatorial coordinate system as a criterion for identifying based on the number of technical reasons. Full deviation is resolved into two components during analysis of mutual deviations of different assessments of stellar objects. The first component is a deviation in declination. It is a deviation between the estimates of stellar object position in the meridian of etalon estimate. The second component is a deviation in right ascension. It is a deviation between the estimates of stellar object position outside of the meridian of etalon estimate. Etalon estimate should be measurement of the stellar catalog if we compare the estimates between frame and stellar catalog. The minimum sum of assessments of the object is the criterion for a perfect matching in the identification problem of astronomical CCD-frame with the star catalog. Perfect matching is in accordance with certain criterion. It can be reduced to a combination of deviations between the estimates of the provisions of stellar objects within these pairs. Recent deviations are a criterion of the frame identification on the star pattern. The accuracy of observations in modern observational astronomy will be improved by using described expressions in this article.