Asteroids, as well as the nuclei of comets, are interesting for research as relics of the times of the formation of planetary systems, on their example you can find out how the process of formation of cosmic objects took place. Contact study of such objects can most accurately answer questions that cannot be solved with the help of astronomical observations. However, the small values of the asteroid gravitational forces are not able to reliably hold spacecraft on the surface of these celestial bodies, which creates significant difficulties for conducting contact research. This article discusses the deployment of a cable net on the surface of asteroids or comet nuclei to ensure the movement of spacecraft on their surface and conduct other operations on the example of the interstellar asteroid 1I / Oumuamua. Possible variants of the shapes, materials and methods of fixing the net on the asteroid in the event that it can be covered with a net entirely by the method of throwing are considered. A special software has been developed, with the help of which the dynamics of the movement of the net is analyzed when it is deployed on the asteroid by the method of throwing.