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Error Analysis for the Astrometric Determination of Absolute Proper Motions by means of a Monte Carlo Simulation
Author(s) -
Hirte S.,
Neumann P.
Publication year - 1984
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.2113050210
Subject(s) - monte carlo method , standard deviation , random error , physics , observational error , propagation of uncertainty , statistical physics , computational physics , algorithm , statistics , computer science , mathematics
For the determination of positions and proper motions of celestial objects until now only corrections of errors caused by the instrument and by the atmosphere have been carried out. Errors of measurement as random errors have not been considered. Therefore a Monte Carlo simulation of the propagation of these random errors in the calculation of the so‐called averaged measurement coordinates and the proper motions were undertaken. As a typical quantity, the corresponding standard deviation was estimated, and its dependence on occuring parameters was studied. With this method, the true values of the considered quantities are known (generated by simulation) so that the errors of the calculated quantities can be directly determined. Inferences to the accuracy of a single measurement were made.