Relative Dynamics and Control of Satellite Formation Flying Representing the Synthetic Aperture Telescope on Geostationary Orbit

Nazgul Kaliyeva1

Zaure Rakisheva1

Nursultan Doszhan1,Email

Anna Sukhenko1,2

Gulama Garip Alisher Ibrayev1

Shinichi Nakasuka3

Yerkin Shabdan4,Email

1Department of Mechanics, al-Farabi Kazakh National University, Almaty, 050010, Kazakhstan.
2Institute of Space Technique and Technology, Almaty 050061, Kazakhstan.
3Graduate School of Engineering, The University of Tokyo, Tokyo, 113-8654, Japan.
4Department of Intelligent Systems and Cybersecurity, Astana IT University, Astana, 010000, Kazakhstan.

 

Abstract

When the formation flying consists of satellites that are independent from each other and forms a virtual synthetic aperture telescope that replaces a single large telescope with all of its optical elements it is required mutual coordination between the satellites with high accuracy in order to achieve good optical observations. In this paper we consider the problem of developing a control system for a tetrahedral satellite formation flying representing a synthetic aperture telescope in the geostationary orbit for high resolution monitoring of fire in the forest area in infrared spectrum. Synthesizing the image with good quality requires to keep the configuration of formation with µm-class accuracy. Study of dynamics of passive uncontrolled motion of formation flying showed a significant deviation of the configuration from the required shape with a high frequency due to the action of gravitational forces. To keep the configuration in the required form with µm accuracy the analysis of efficiency of various controllers was carried out in the process of numerical simulation. The simulation results made it possible to highlight the features of using various approaches to the development of control system for the satellite formation flying representing a synthetic aperture telescope.

Relative Dynamics and Control of Satellite Formation Flying Representing the Synthetic Aperture Telescope on Geostationary Orbit