**7. Conclusion**

The functional features of the motion of a spacecraft with solar sails are considered. The main tasks of photogravitational celestial mechanics are listed, and the possibilities of their mathematical modeling are given. The main differences in this area of research are sophisticated spacecraft models, supplemented by solar sails of various shapes, sizes, and physical properties. Taking into account all the characteristics of the sail complicates the process of mathematical modeling of the spacecraft, but it is possible with the help of classical analytical dynamic tools.

The dynamic aspect of the simulation is to take into account the solar pressure force on the sail. The presence of this force determines the specifics of the formulation of control tasks for such spacecraft, closely related to their design features. Despite the differences between such formulations from the usual optimal control problems, their solution can be obtained by classical optimization methods.

*Gravitational Field - Concepts and Applications*
