The statistical model of the set of positional changes on the series of frames portion of the celestial sphere

Abstract

The article presents two statistical models developed to treat the set of measurements performed on the sequence of coelosphere shots (frames). The first model is based on the assumption that the quantity of measurements, both false or related to other classes of objects, has the Poisson distribution of known intensity. In the second model, each frame is divided into elementary volumes, and for each of them only one measurement is made, not depending on number of the sky objects it contains. These models will be used to numerically determine fixed objects existing in sequential frames.