中文摘要：

在精密轨道确定中,PECE算法已成为目前最通用的轨道积分算法.利用Collocation方法的外推公式和内插公式可构造一种新的PECE算法,新算法以两种方式进行二阶微分方程的求解：将二阶微分方程降为一阶微分方程然后积分以及直接积分二阶微分方程.分别采用这两种类型的算法求解二体问题和低轨卫星的受摄轨道,并将计算结果与Adams-PECE算法及一般的PECE算法的积分结果进行了比较分析.结果表明,这两种类型的Collocation-PECE算法在实际轨道积分中较其它几种算法更有效.

英文摘要：

In precise orbit determination, the Predictor-Evaluation-Corrector-Evaluation （PECE） algorithm has become the most popular one at present. A new kind of PECE algorithm can be constructed by using extrapolation and interpolation formula of Collocation method. This algorithm can solve a second-order differential equation in two ways： one changes the second-order differential equation into the first-order differential equation firstly, and then integrates this first-order differential equation; the other is to integrate second-order differential equation directly. The results of two-body problem and LEO perturbed orbit calculated with these two types of collocation method respectively show that the second type of Collocation method is more efficient than the first type of algorithm, the Ad- ams-PECE algorithm and the common PECE algorithm in practice.