论文标题
对太极号航天器的轨道的分析分析，达到轨道偏心的无限顺序
Analytical analysis on the orbits of Taiji spacecrafts to infinite order of the orbital eccentricity
论文作者
论文摘要
提出了原始配置的双构型，用于太极号航天器的轨道设计。就太极拳的这两种配置而言，设计了一种算法，以扩展空间中心坐标系统中的轨道偏心率的无扰动的航天器的开普勒轨道。 Further, based on the algorithm, all the kinematic indicators of Taiji triangles, say three arm-lengths and their corresponding rates of change, and three vertex angles, in both configurations are also be expanded to infinite order of $e$, and it is proved that both configurations of Taiji possess the same symmetry: At every order, three components of every kinematic indicator of Taiji triangle are彼此相同，直至$2π/3 $的相移，这在台湾平面的倾斜角度相对于黄道平面是独立的。最后，上述算法对其进行了稍作修改，并且通过将倾斜角度调整为$π/3 $的任何订单$ e $的订单，可以优化每种配置中的台湾航天器的轨道。
The dual configuration of the original one is proposed for the orbit design of Taiji spacecrafts. In terms of these two configurations of Taiji, an algorithm is devised to expand the unperturbed Keplerian orbits of spacecrafts to infinite order of $e$, the orbital eccentricity, in the heliocentric coordinate system. Further, based on the algorithm, all the kinematic indicators of Taiji triangles, say three arm-lengths and their corresponding rates of change, and three vertex angles, in both configurations are also be expanded to infinite order of $e$, and it is proved that both configurations of Taiji possess the same symmetry: At every order, three components of every kinematic indicator of Taiji triangle are identical to each other up to a phase shift of $2π/3$, which is independent on the tilt angle of Taiji plane relative to the ecliptic plane. Finally, the above algorithm is slightly modified, and with it, by adjusting the tilt angle around $π/3$ to any order of $e$, the orbits of Taiji spacecrafts in each configuration can be optimized.
