Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa, 2018, Vol. 15, No. 6, pp. 131-144
Mathematical model of the measurement bench for determination of internal orientation elements
E.A. Bazina
1 , R.V. Bessonov
1 , N.N. Brysin
1 , A.V. Nikitin
1 , S.A. Prokhorova
1 , N.A. Slivko
1 , N.A. Stroilov
1 , B.A. Yumatov
1 1 Space Research Institute RAS, Moscow, Russia
Accepted: 19.11.2018
DOI: 10.21046/2070-7401-2018-15-6-131-144
The measurement bench for determination of internal orientation elements is designed for photogrammetric calibration of optical star trackers developed in IKI RAS. The basic parameters of the optical system are defined: the focal length, the main point coordinates and the coefficients of the polynomial describing the lens distortion. In serial and small-scale production of devices the bench makes it possible to reduce or completely abandon the full-scale tests and calibrations on the real starry sky. A mathematical model of the bench is proposed. Coordinate systems, matrices and rotation angles are determined. The errors of the bench are determined and estimated – the deviations of parts and axes of rotation from the ideal positions. The formulas for simulating the instrument operation are proposed taking into account all the errors. The simulation of the bench operation is carried out. The software developed on the basis of the model allows to generate the output data obtained from the bench, similar to real measurements. The methods of bench measurement errors with the help of theodolite measurements are proposed.
Keywords: mathematical model, bench equipment, on-ground photogrammetric calibration, elements of interior orientation, focal length, main point, generalized distortion of the lens, star tracker, optical system, optical measuring instruments
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