Abstract. All-sky photographs, used in meteor astronomy, need a special transformation formulae for converting the plate coordinates to celestial coordinates. An improved form of these formulae is presented. It includes a new radial projection function and the influence of the inclination of the plate from the plane perpendicular to the optical axis. The method then enables to achieve the precision near the theoretical limit simultaneously for the entire visible hemisphere. About 15 reference stars spread on the whole sky are needed. The meaning of the individual reduction constants is explained in detail. Practical hints for using the method and numerical examples are given.
Key words: astrometry - meteors - methods: data analysis
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