Starting from the Kepler's laws of planetary motion, this paper applies the real-particle theory to study the motion property and quantum behavior of the solar system. The earth/solar system is a typical two-body cluster (real particle), which can be modeled as a rotating vibrator. The classical state function of the vibrator is an elliptical equation, and the quantum state function is a topological mapping of the elliptical equation in the complex space. The quantum state function contains all the information of the cluster motion, and the probabilities of various motion modes are controlled by particle interactions and satisfies the Schrodinger equation. The study shows that the quantum state function characterizes the long-time statistical properties of cluster motion, and the Schrodinger equation is a mapping algorithm from potential function to state function. The parameters of the elliptical orbit are implicit variables of the quantum state, and the statistics of cluster motion is the reality basis of quantum mechanics.