期刊文献+

CALCULATING METHOD OF SERIES FOR TRUE ANOMALY OF A SPACECRAFT ELLIPTIC ORBIT

CALCULATING METHOD OF SERIES FOR TRUE ANOMALY OF A SPACECRAFT ELLIPTIC ORBIT
下载PDF
导出
摘要 The transcendental equation of a true anomaly was written in a power series instead of a differential form. When the sufficient condition of the iterative convergence is satisfied, the relationship between the true anomaly and the time was gotten by the iterative method. And for the others, the transcendental equation of an eccentric anomaly was solved by the iterative method. After the eccentric anomaly had been calculated, the relationship between the true anomaly and the time was gotten with the numerical integral method. The approximate equation, which included the first five terms in general expansion, was written for the spacecraft quasi-circular orbit. And the true anomaly as the function of the time was also gotten by the iterative method. The numerical simulation results show that these methods are efficient. The transcendental equation of a true anomaly was written in a power series instead of a differential form. When the sufficient condition of the iterative convergence is satisfied, the relationship between the true anomaly and the time was gotten by the iterative method. And for the others, the transcendental equation of an eccentric anomaly was solved by the iterative method. After the eccentric anomaly had been calculated, the relationship between the true anomaly and the time was gotten with the numerical integral method. The approximate equation, which included the first five terms in general expansion, was written for the spacecraft quasi-circular orbit. And the true anomaly as the function of the time was also gotten by the iterative method. The numerical simulation results show that these methods are efficient.
机构地区 Zhongshan College 不详
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2005年第11期1435-1441,共7页 应用数学和力学(英文版)
关键词 spacecraft orbit true anomaly eccentric anomaly iterative method spacecraft orbit true anomaly eccentric anomaly iterative method
  • 相关文献

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部