Central Force Optimization(CFO)is a new deterministic multi-dimensional search metaheuristic based on the metaphor of gravitational kinematics.CFO is a deterministic algorithm that explores a decision space by"flying"a group of probes whose trajectories are governed by Newton's laws.But it may be local trapping.This paper makes a thorough research on the probes move governed by the equations of gravitational motion through the Celestial Mechanics

establishing the relationship between CFO algorithm and Celestial Mechanics

using the perturbation theory of Celestial Mechanics to improve CFO algorithms and deducing the new iterative equation.Finally

simulation results show that CFO based on perturbation theory avoids local trap.The enhanced algorithm has great advantage of convergence property and robustness compared to stochastic algorithms.