Refinement of the motion model of the Linus satellite of the asteroid (22) Kalliope

The aim of this article is to analyze the dynamics of the Linus satellite of the asteroid (22) Kalliope. New results have been obtained, and now they are being published. New observations of the satellite were made at the Caucasus Mountain Observatory of the SAI from October 2021 to March 2022. The obtained astrometric results are presented in the article. Based on the updated set of observations, the parameters of the satellite’s orbit were re-determined. An increase in the accuracy of ephemeris with the addition of new observations is shown. A new attempt was made to determine the precession of the satellite’s orbit caused by the compression of a rapidly rotating asteroid. The goal was to determine the dynamic compression of the central body. The entire observation interval is divided into groups. From the observations of each group the position of the axis of the satellite’s orbit was found. Changing the position of the axis gives the desired precession. Studies on several examples show that the position of the axis from such groups of observations is determined very unreliably. The reason lies in the strong correlation between the determined parameters with limited observational accuracy. Ways of studying precession are outlined by joint determination of dynamic parameters on the basis of all available observations.