What is the reason for the movement of the moon around the earth, and the earth around the sun?

Perhaps everyone knows from school physics and astronomy lessons that the Moon moves relative to the Earth under the influence of the force of gravity between these two planets. This movement is usually called the sidereal month, which is 27.32166 days. For the same reason, the Earth is forced to rotate in its orbit around the Sun at a speed of 108,000 km / h. It is thanks to this rotation on Earth that the seasons change.