地日系统中Lagrange点附近的编队队形重构

Lagrange点附近的编队研究对深空探测有着非常重要的意义。该文研究了利用双脉冲变轨实现三体问题中Halo轨道附近编队的队形重构问题。证明了在短时间重构时,三体问题中存在着与Hohmann变轨类似的结论:始末脉冲法是双变轨法中能量最优的重构方法。给出了实现重构所需能量的近似解析表达式和精确计算的数值方法。短时间重构的情况下,数值方法与解析方法得到的结果几乎相同。结果表明:在使用始末法实现重构时,重构所需要能量随重构时间的增加而减少,随重构半径的增加而增加。

Reconfiguration of formation flying in the vicinity of the Lagrange point

Formation flying around Lagrange points is very important for deep space explorations. This paper investigates formation reconfiguration around the Halo orbit using the impulse method to execute the reconfiguration. Assuming that the reconfiguration time is short, the analysis shows that the beginning-ending impulse method, which is very similar to Hohmann transfer, is the energy-optimal method of all two-impulse methods. Analytic expressions and numerical results given for the reconfiguration energy are almost the same when the reconfiguration time is short. Numerical examples show that the reconfiguration energy needed increases with the radius of the relative motion and decreases with the reconfiguration time.