TianQin is a proposed space-based gravitational-wave observatory mission to be deployed in high circular Earth orbits. The equilateral-triangle constellation, with a nearly fixed orientation, can be distorted primarily under the lunisolar perturbations. To accommodate science payload requirements, one must optimize the orbits to stabilize the configuration in terms of arm-length, relative velocity, and breathing angle variations. In this paper, we present an efficient optimization method and investigate how changing the two main design factors, i.e. the orbital orientation and radius, impacts the constellation stability through single-variable studies. Thereby, one can arrive at the ranges of the orbital parameters that are comparatively more stable, which may assist future refined orbit design.

中文翻译：

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轨道方位和半径对天琴星座稳定性的影响

天琴是一项拟议的天基引力波观测任务，将部署在高圆地球轨道上。等边三角形星座，具有几乎固定的方向，可能主要在月日扰动下变形。为了适应科学有效载荷的要求，必须优化轨道以稳定臂长、相对速度和呼吸角度变化方面的配置。在本文中，我们提出了一种有效的优化方法，并通过单变量研究研究了改变轨道方向和半径这两个主要设计因素如何影响星座稳定性。从而可以得出比较稳定的轨道参数范围，有助于未来的精细化轨道设计。