Evaluation of Applicability of Some Algorithms for Controlling the Motion of Satellites in a Formation

Zaure Rakisheva1

Anna Sukhenko1,2

Nursultan Doszhan1

Gulama Garip Alisher Ibrayev1

Nazgul Kaliyeva1,Email

Shinichi Nakasuka3

Yerkin Shabdan4,Email

1Department of Mechanics, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
2Institute of Space Technique and Technology, Almaty, 050061, Kazakhstan
3Graduate School of Engineering, The University of Tokyo, Tokyo, 113-8656, Japan
4Department of Intelligent Systems and Cybersecurity, Astana IT University, Astana, 010000, Kazakhstan

Abstract

Remote sensing of the Earth from a geostationary orbit can be accomplished by deploying four independent spacecraft arranged in a tetrahedral configuration. This arrangement allows for the replacement of a large optical telescope system. This paper addresses the problem of studying the motion and maintenance of a tetrahedral formation of satellites in a geostationary orbit for Earth observation. To maintain the tetrahedral or regular pyramid configuration in an unperturbed reference orbit, algorithms based on the root locus method and feedback methods were developed. Throughout the research, it was determined that these control methods for satellite motion within a formation could also be applied to control the relative positions of satellites in a Fizeau interferometer configuration in geostationary orbits when using modern electric propulsion systems.