Selection of a nanosatellite group separation program for cluster launching from the «Soyuz» launch vehicle orbiter

The problem of selecting the parameters of nanosatellite separation from the launch vehicle orbital stage is formulated. The possibility of hazardous proximity of the nanosatellites to each other and to the orbiter of the “Soyuz” launch vehicle is analyzed. Expressions for determining the mathematical expectation and dispersion of the initial conditions of nanosatellites’ separation from the orbital stage are obtained as well as expressions for determining the mathematical expectation and dispersion of the nanosatellites’ position coordinates. The region of permissible parameters of nanosatellites’ separation that eliminate the risk of dangerous approaching of two nanosatellites both with the orbital stage and with each other is defined. The region of separation parameters eliminating the possibility of nanosatellites flying apart from each other to a distance of over 10 km in the course of two orbit flights is also determined. Recommendations on the choice of initial conditions of nanosatellite separation are given.