Modeling error analysis of the GEO CW equation

被引：0

作者：

Ren J. ^{[1
]}

Zhang D. ^{[1
]}

Zeng Q. ^{[1
]}

机构：

[1] School of Aeronautics, Harbin Institute of Technology, Harbin

来源：

Harbin Gongcheng Daxue Xuebao/Journal of Harbin Engineering University | 2021年 / 42卷 / 06期

关键词：

Colebrook-White equation; Error analysis; Geostationary orbit(GEO); J[!sub]2[!/sub] perturbation; Relative motion; Satellite; Solar radiation pressure perturbation; Three-body gravitational perturbation;

D O I：

10.11990/jheu.202003011

中图分类号：

学科分类号：

摘要：

Aiming at the characteristics of the small inclination and small eccentricity of geostationary orbits (GEOs), various error elements, such as environmental errors (e.g., non-spherical perturbation and three-body gravity), linearization errors, and non-circular orbit correlation errors, of the Colebrook-White (CW) equation have been deduced and analyzed in the instantaneous close orbital coordinate system. The analytical expressions of J2 and eccentricity-related error terms are obtained using the error linearization method combined with the analytical solution of the CW equation. Numerical calculations show that there are more error term elements in the GEO CW equation, and they are related to the size and drift characteristics of the relative motion configuration. The magnitudes of the quadratic term error, eccentricity-related error, and J2-related error are equivalent. They are the main error sources of the GEO CW equation and present the error form of the combination of constant and low-frequency fluctuations. The results can be used as the theoretical basis for high-precision relative navigation and guidance design in GEO. Copyright ©2021 Journal of Harbin Engineering University.

引用

页码：785 / 792

页数：7

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