用磨光函数逼近卫星运动方程间断右函数的探讨

Study on Fitting the Discontinuous Right-hand Function for Satellite's Dynamical Equation Integration

提出了采用光滑函数拟合的方法,用光滑函数逼近间断函数,从而使得传统的多步法、单步法能够正常使用。利用二体问题检核结果表明,光滑函数逼近法能够有效解决运动方程右函数间断问题。

The paper presents a new method that uses the smooth function to fit the discontinuous right-hand function,Hence,the ordinary single step method or the multi-step method can be used normally.The Kepler orbit was used to valid this method which shows that the new method can treat the discontinuous problem of right-hand function.