Restoration of the Trajectory of a Spacecraft Approaching an Orbital Station by Means of a Mathematical Modelстатья
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Дата последнего поиска статьи во внешних источниках: 27 июля 2022 г.
Аннотация:A problem of restoring the trajectory of a spacecraft (SC) during docking to an orbital station(OS) in the related coordinate system of the OS is considered. The trajectory of the SC relative tothe OS is recreated by restoring the trajectory of the SC and the OS in the Greenwich coordinate system(GCS) using parametric mathematical models. It is assumed that the propulsion system (PS) ofthe station is not working, and the movement of the ship is corrected using a series of pulses. This paperproposes an original parametric mathematical model of the perturbed motion of an SC, in which theperturbing acceleration of each pulse is given by a piecewise constant vector function and the values ofthe pulses are refined parameters. The parameters of mathematical models are refined using the leastsquares method (LSM) according to the data of autonomous navigation systems (ANSs) installed onthe SC and the OS. The proposed algorithm and the developed software are used to analyze rendezvoustrajectories on seven dockings of the Soyuz and Progress SC with the International Space Station.This paper presents the restored trajectories and estimates the error.