绕地轨道运动地面物理试验的建模与分析

Modeling and Analysis of Ground Physics Experiments on Orbit Movements Around the Earth

基于对地面物理试验系统的受力分析建立了数学模型,定性定量地分析了液体阻力、模拟万有引力及推力对运动轨迹的影响。首先,根据椭圆轨道摄动方程组导出了推力、液体阻力、模拟万有引力同时存在时地面物理试验的数学模型;然后,通过理论分析定性定量地给出了推力偏差和模拟万有引力偏差对轨道的影响程度;最后,通过大量的数值模拟验证了理论分析的结果。

Based on the force analysis of a ground physics experiment system, a mathematical model was built. The effects of liquid resistance, propulsion and simulated gravitation on the orbit were qualitatively and quantitatively analyzed. Specifically, according to the perturbation equations ~f elliptic orbits, a theoretical model for the ground experiments with liquid resistance, propulsion and simulated gravitation was derived. Then, the effects caused by propulsion bias and simulated gravitation bias were qualitatively and quantitatively analyzed. Finally, numerical simulations were ased to verify the results obtained by theoretical analysis.