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The GRAIL program for studying the gravitational field and the internal structure of the Moon, as well as reconstructing its thermal history, established that the Moon has an internal solid and external metal parts of the core (consisting of iron and siderophile elements). The very weak magnetic field of the Moon is formed due to residual magnetism in lunar rocks, as well as tidal forces acting on the core

It is believed that the source of the magnetic field of the planets is tectonic activity. For example, for the Earth, the field is created by the movement of molten metal in the core, for Mars, by the consequences of past activity.
"Luna-1" in 1959 established the absence of a uniform magnetic field on the Moon[38]:24. The results of research by scientists at the Massachusetts Institute of Technology confirm the hypothesis that it had a liquid core. This fits into the most popular hypothesis of the origin of the Moon - the collision of the Earth about 4.5 billion years ago with a cosmic body the size of Mars “knocked out” a huge piece of molten matter from the Earth, which later turned into the Moon. Experimentally, it was possible to prove that at an early stage of its existence, the Moon had a magnetic field similar to that of the Earth

In the first approximation, we can assume that the Moon moves in an elliptical orbit with an eccentricity of 0.0549 and a geocentric orbit semi-major axis of 384,399 km (while the semi-major axis in the system relative to the center of mass of the Earth-Moon system is 379,730 km). The actual motion of the Moon is quite complex, and many factors must be taken into account in calculating it, for example, the oblateness of the Earth and the strong influence of the Sun, which attracts the Moon 2.2 times stronger than the Earth [comm. 2]. More precisely, the movement of the Moon around the Earth can be represented as a combination of several movements

Since ancient times, people have tried to describe and explain the movement of the moon. Over time, more and more accurate theories appeared.
The basis of modern calculations is Brown's theory. Created at the turn of the 19th-20th centuries, it described the movement of the moon with the accuracy of the measuring instruments of that time. At the same time, more than 1400 terms (coefficients and arguments for trigonometric functions) were used in the calculation.