Influence of initial conditions during separation of a descent capsule from the circumlunar tethered system on the possibility of its landing on the surface of the Moon

The motion of the lunar tether system, which includes the space station equipment and small space elements attached to it by tethers, is considered. The Lagrange equations of the second kind were used to construct a mathematical model of the motion of the circumlunar tether system. The paper studies the influence of the initial conditions of the descent capsule separation from the tether connecting it to the lunar space station on the area of its landing on the lunar surface.