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各种精密星历数值积分方法间的比较 被引量:3

A Comparative Study of Integrators for Constructing Ephemerides with High Precision
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摘要 本文对常用的数值方法(Adams、Cowell、RKF、GBS、Everhart,Taylor和Krogh方法)就四个主要指标(局部截断误差,数值稳定性,复杂性和普适性)进行评述和比较,并提出一些初步的结论供数值积分工作参考。 There are four indexes for evaluating various integrators. They are the local truncation error, the numerical stability, the complexity of computation and the quality of adaptation. A review and a comparative study of several numerical integration methods, such as Adams, Cowell, Runge-Kutta-Fehlberg, Gragg-Bulirsch-Stoer extrapolation, Everhart, Taylor series and Krogh, which are popular for constructing ephemerides with high precision, has been worked out in this paper. A few of preliminary conclusions and advices are provided in Section 7 for the relevant scientists and engineers.
作者 黄天衣
机构地区 南京大学天文系
出处 《天文学进展》 CSCD 北大核心 1990年第3期222-229,共8页 Progress In Astronomy
基金 国家自然科学基金
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参考文献5

  • 1黄天衣,丁华.稳定化和自变量变换[J]天文学报,1981(04).
  • 2丁华,黄天衣.和分与舍入误差[J]天文学报,1980(01).
  • 3Hiroshi Kinoshita,Hiroshi Nakai. Numerical integration methods in dynamical astronomy[J] 1988,Celestial Mechanics(1-3):231~244
  • 4Tian-Yi Huang,Mauri J. Valtonen. Two multiderivate multistep (MDMS) integrators[J] 1987,Celestial Mechanics(1-4):223~238
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