Abstract
The work is devoted to one of the methods of the Earth's protection from asteroid danger, namely, the use of the solar sail - a spacecraft, with the additional lighting the repels an asteroid from a dangerous orbit. The parameters of the near-Earth asteroids are revealed. Mathematical model of the control movement of all bodies (the Earth, the Sun, the asteroid, the solar sail), the control program and the software package (Delphi 7) for the simulation and visualization of the trajectories are designed.