地球静止轨道CW方程建模误差分析

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.