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.