Question

how satellite leaves earth orbit and enters moon orbit

Answer 1

This is Isaac Newton's First Law of Motion. Without gravity, an Earth-orbiting satellite would go off into space along a straight line. ... Escape velocity is the speed an object must go to break free from a planet's gravity and enter into orbit. Escape velocity depends on the mass of the planet.

Answer 2

The Moon is an astronomical body orbiting Earth as its only natural satellite. It is the fifth-largest satellite in the Solar System, and by far the largest among planetary satellites relative to the size of the planet that it orbits.