摘要
在分析飞行器在连续力作用下的运动时,目前常用Hill模型,但Hill模型仅适用于短距离内短时间内飞行器机动问题。高斯(Gauss)模型作为一个研究绕动力作用下飞行器轨道变化的有效分析工具,可用于有限推力长时间作用下的轨道变化分析。从Gauss模型的基本形式推导出Gauss模型的无奇点方程,并从理论角度和仿真计算方面分析了外力的大小、方向对轨道机动结果的影响以及轨道的偏心率、平近点角对轨道机动的影响。结果证明采用数值方法可以有效解决Gauss模型求解困难的问题,Gauss型模型用于轨道机动分析具有很好的普适性。
The orbit maneuver analysis of space vehicles under finite thrust with a long time is usually completed by the Hill Model. However, the Hill model is only fit for short distance maneuvers. Gauss model is an effective tool for analyzing the orbit maneuver of space vehicles under continuous finite thrust. Starting with the original Gauss Model, this essay educes the Gauss Model without odd points, and then analyzes the effect of the thrust on the orbit roots mathematically. The simulation results include the effect of the magnitude and direction of thrust on the orbit maneuver and the effect of the original eccentricity and mean anomaly on the orbit maneuver. Results of this essay prove the mathematical conclusion. The simulation result proves that the computational method is an effective way to solve the Gauss Formula, and the Gauss Formula can be easily adopted in many situations.
出处
《计算机仿真》
CSCD
北大核心
2009年第4期71-75,96,共6页
Computer Simulation
