Eclipse avoidance in TianQin orbit selection
Bobing Ye, Xuefeng Zhang, Yanwei Ding, Yunhe Meng
Abstract
In future geocentric space-based gravitational-wave observatory missions, eclipses due to passing through the Moon's and Earth's shadows can negatively impact the sciencecraft's thermal stability and steady power supply. The occurrence should be reduced as much as possible in orbit design. In regard to TianQin's circular high orbits, we tackle the combined challenges of avoiding eclipses and stabilizing the nearly equilateral-triangle constellation. Two strategies are proposed, including initial phase selection and orbit resizing to $1\ensuremath{\mathbin:}8$ synodic resonance with the Moon, where the latter involves slightly raising TianQin's preliminary orbital radius of $1\ifmmode\times\else\texttimes\fi{}{10}^{5}\text{ }\text{ }\mathrm{km}$ to $\ensuremath{\sim}100900\text{ }\text{ }\mathrm{km}$. As the result, we have identified pure-gravity target orbits with a permitted initial phase range of $\ensuremath{\sim}15\ifmmode^\circ\else\textdegree\fi{}$, which can maintain eclipse-free during the $3+3$ month observation windows throughout a 5-year mission started in 2034, and meanwhile fulfill the constellation stability requirements. Thereby the eclipse issue for TianQin can be largely resolved.