The motion of lunar probe consists of three stages including three different type of orbits: parking orbit near the Earth, transfer orbit forward to the Moon and the final orbit around the Moon. The parking orbit is a certain kind of orbit of the Earth satellite. The transfer orbit differs from the others in transfer method (such as impulse and low thrust). The final orbit around the Moon is not the clone of the Earth satellites' orbit though they are similar in some aspects. In this paper, we talk about the orbit mechanics of lunar satellites widely and focus on some hotspots, for instance, the construction of the perturbation solution, orbital lifetime, special satellites as sun-synchronous and frozen orbits and the precise orbit determination.