An investigation of the reduction model power influence on the accuracy of the object’s position assessment using relative method
DOI:
https://doi.org/10.15587/1729-4061.2016.75593Keywords:
astrometric reduction, digital frame, celestial object, reduction model, assessment of accuracy indicatorsAbstract
We investigated the influence of the reduction model power on the accuracy of the object’s position assessment using the relative method. The research considered reduction polynomials of the third and fifth power, their influence on the accuracy of the celestial object’s position assessment and distribution of reference stars in the frame. The result of the analysis showed the presence of a sinusoidal component in the dependence of the residual of parameters of celestial objects when the cubic reduction model is used. It also showed almost complete elimination of this component in case of using the fifth-power reduction model, which increased the number of reference stars in the frame’s edges as well as accuracy indicators of position assessments of celestial objects. The assessment criteria of significance of the reduction model coefficients using the Fisher's f-criteria proved the validity of application of the polynomial model with the power, that is higher than cubic.
The results of the research can be used to improve the accuracy of estimation of celestial objects positions in the frame in the CCD-automated processing systems, which assess the position of objects in the entire field of view of the telescope.
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