计算物理 ›› 1992, Vol. 9 ›› Issue (S2): 810-811.

• 论文 • 上一篇    下一篇

天体运动方程数值解中的数值稳定化和步长均匀化问题

刘林, 廖新浩   

  1. 南京大学天文系, 210008
  • 收稿日期:1992-05-18 出版日期:1992-12-31 发布日期:1992-12-31

THE PROBLEM OF NUMERICAL STABILIZATION AND STEP-SIZE UNIFORMIZATION IN THE NUMERICAL SOLUTION OF CELESTIAL MOVIGN EQUATION

Liu Lin, Liao Xinhao   

  1. Department of Astroscope, Nanjing University, 210008
  • Received:1992-05-18 Online:1992-12-31 Published:1992-12-31

摘要: 在传统的数值解法中,利用能量关系可以改进轨道半长径的精度,从而控制沿迹误差的增长,此即数值稳定化。积分步长的改变可以用时间变量的变换df=r3/2ds解决。

Abstract: The accuracy of orbital seminajor axis is improved by the energy relation so that the growth of the along-track error in traditional integrators can be controlled. This is called numerical stabilization. The change of step-size can be solved by the transformation of time variable: df=r3/2ds.