**Abstract**

As a result of solving the problem of interaction of Solar-system bodies, data on the evolution of the Moon's orbit were obtained. These data were used as the basis for the development of a mathematical model for the Moon representing its motion over an interval of 100 million years. A program of exploration of the Moon with the aim of creating a permanent base on it is outlined. Such a base is intended for exploring the Earth, the Sun, and outer space.

**Keywords:** Moon, orbit, evolution, exploration, life, investigation, Earth, Sun, space
