The proposed model demonstrated the satellite’s trajectory taking visibility time into account. Thanks to the built model, the exact time the satellite spent within the visibility zone was determined. The scientific novelty of the results obtained is as follows: The software package utilized to process data derived from the differential equation system that delineates the orbital motion of a satellite, characterized by periodic recording of initial data, has been improved. The trajectory of motion for the group of Earth remote sensing satellites operating in low Earth orbit has been constructed following the preliminary introduction of Keplerian elements, specifically: eccentricity, inclination, argument of perigee, and mean anomaly. Consequently, before employing the improved software package for observing the group of Earth remote sensing satellites, the operator is required to input the initial values necessary for modeling the trajectory of the observed space object. The result of the software package’s operation is the construction of a radio vision zone in polar coordinates, represented as the trajectory of the Earth remote sensing satellite.