地影模型对导航卫星轨道数值积分的影响及改进

详细信息

How Navigation Satellite Orbit Numerical Integration Affected by Shadow Model and Its Correcting Methods

¹ The Shanghai Astronomical Observatory, 80 Nandan Road, Shanghai 200030, China ;² The Beijing Global Information Application and Development Center, Box 5136, Beijing 100094, China

摘要: 以RKF7(8)和Adams12阶PECE方法为例,分析了单步法积分器和多步法积分器在圆柱体、双锥形地影模型下,地影边界对导航卫星轨道积分的影响,并提出了相应的改进方法。改进方法原理简单,在3d积分弧段内最大误差优于cm级。
- 天体测量学 /
- 地影模型 /
- 数值积分 /
- 改进Encke积分
Abstract: In this article, it is analyzed that how the GEO orbit propagation with a singe step numerical integrator, the representative Runge-Kutta(RKF7(8))method, or a multi-steps one, the representative 12 degrees PECE method, affected by the boundaries of cylinder shadow model or conical shadow model. And more, some correcting methods are introduced according to the idiographic problems. All the introduced methods are convenient for users to program with simple principles, and lead to high accuracy corrected orbit. The maximal bias in 3 day length arcs is in centimeter magnitude, even less.
- astrometry /
- shadow model /
- numerical integration /
- corrected Encke integration