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arXiv 2101.03040gr-qc
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ESA LISA 任务的轨道设计

Trajectory Design for the ESA LISA Mission

Waldemar Martens, Eric Joffre

AI总结:

本文针对 ESA LISA 任务,联合优化了太阳能电推进转移轨道与三角形编队科学轨道,实现 2034 年全年发射,并通过导航分析与修正机动将入轨误差控制在角点变化 $60^\circ \pm 1.1^\circ$ 以内。

摘要:

三颗激光干涉仪空间天线(LISA)航天器将以三角形编队部署在地球尾随或地球领先轨道上。它们将由单枚火箭共同发射,并利用太阳能电推进转移至该科学轨道。由于转移所需的 $Δv$ 取决于所选择的科学轨道,因此转移轨道与科学轨道已进行联合优化。对于 90 mN 的推力水平,每颗航天器分配 1092 m/s 的速度增量足以支持 2034 年全年任意月份发射。针对每一个发射月份,均设计了专用的科学轨道,其角点变化接近 $60^\circ \pm 1.0^\circ$,臂长变化率最大为 10 m/s。此外,还对科学轨道入轨进行了详细的导航分析,并研究了入轨误差对星座稳定性的影响。分析表明,测距/多普勒测量与科学轨道阶段初期的一系列修正机动相结合,可以将入轨散布降低到这样的水平:在 $99\\%$ 置信水平下,角点变化保持在约 $60^\circ \pm 1.1^\circ$。然而,如果在科学轨道入轨之前未能充分表征科学轨道阶段作用的自引力加速度,情况可能会显著恶化。

英文摘要:

The three Laser Interferometer Space Antenna (LISA) spacecraft are going to be placed in a triangular formation in an Earth-trailing or Earth-leading orbit. They will be launched together on a single rocket and transferred to that science orbit using Solar Electric Propulsion. Since the transfer $Δv$ depends on the chosen science orbit, both transfer and science orbit have been optimised together. For a thrust level of 90 mN, an allocation of 1092 m/s per spacecraft is sufficient for an all-year launch in 2034. For every launch month a dedicated science orbit is designed with a corner angle variation of close to $60^\circ \pm 1.0^\circ$ and an arm length rate of maximum 10 m/s. Moreover, a detailed navigation analysis of the science orbit insertion and the impact on insertion errors on the constellation stability has been conducted. The analysis shows that Range/Doppler measurements together with a series of correction manoeuvres at the beginning of the science orbit phase can reduce insertion dispersions to a level where corner angle variations remain at about $60^\circ \pm 1.1^\circ$ at $99\%$ C.L.. However, the situation can become significantly worse if the self-gravity accelerations acting during the science orbit phase are not sufficiently characterised prior to science orbit insertion.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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