STABILIZATION OF COWELLS METHOD

被引：379

作者：

STIEFEL, E

BETTIS, DG

机构：

[1] Yale University Observatory, New Haven, Connecticut

[2] Eidgenössische Technische Hochschule, Institut für Angewandte Mathematik, Zürich, Schweiz, 8006

来源：

NUMERISCHE MATHEMATIK | 1969年 / 13卷 / 02期

关键词：

D O I：

10.1007/BF02163234

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper offers a modification of the Cowell method for the integration of orbits. The modification is characterized by the property that it will integrate unperturbed Kepler motion exactly (excluding truncation errors), thus the slight instability of the Cowell Method is avoided. Furthermore, the modification takes into account the most important secular effects of orbit motion. As an example of the applicability of the modified method to perturbed motion, the equations of motion of an artificial earth satellite are integrated. In the case of elliptic initial conditions regularization by a Levi-Civita transformation was used. © 1969 Springer-Verlag.

引用

页码：154 / &

共 8 条

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