利用混沌运动的遍历性、随机性及规律性等特点,对Kepler方程设计了一种混沌优化算法,对其进行求解,并在计算机上予以实现.该算法易于实现且时间复杂度较小,在计算效率上有一定优势.经过一系列数值实验测试,验证了混沌优化算法对Kepler方程求解的可行性,并将计算结果与已有解法所得结果相比较,表明了该算法对此方程的有效性.
Employing the property of ergodicity, randomness and regularity of chaotic movement, a chaos optimization algorithm for the Kepler' s equation was presented and implemented. The time complexity of the method is relatively stnall and the algorithm is not difficult to realize, which gives advantage in computing efficiency. Comparing with the results of a series of tests and experiments, the numerical results verify the effectiveness of the method for solving the Kepler's equation.