轨道方程计算中Adams-Cowell方法的外推改进

An Improved Adams-Cowell Algorithm

在人造地球卫星精密定轨中,有摄星历的计算常采用A-C方法(即Adams-Cowell方法),针对这种经典的线性多步法,应用外推技术将计算过程进行了加速,从而提出了一种更高精度的WA-C方法(即Adams-Cowell方法的外推改进)。最后应用典型算例将A-C方法、KSG积分器、改进的A-C方法及文中的WA-C方法进行数值验证,并比较4种方法中卫星轨道沿迹误差的结果,结果表明采用WA-C方法的精度有明显提高。

A more precise algorithm （WA C） in calculating orbital equation is given, on the base of classical Adams-Cowell algorithm. WA-C is revised by using extrapolation technology to improve precision. An example is tested through A-C, KSG, ACm and WA-C algorithm, and comparison is given. The test result shows that WA-C algorithm is more efficient to improve precision in orbital equation calculation then other methods.