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    • 摘要: 星载望远镜是实现空间引力波探测的核心组成部分。由于各星座之间传输距离达到109 m量级,对望远镜指向精度提出了nrad量级的严苛要求,而指向偏差高精度测量和定标就成为实现空间引力波探测星载望远镜高精度指向的前提。为实现星载望远镜指向偏差地面测试及传感器定标需求,本文提出基于哈特曼原理的新型指向偏差高精度测量方法,采用多子孔径空间复用思想降低各类随机误差对测量精度的影响,显著提升了指向偏差测量精度。本文根据传感器参数与指向偏差测量精度之间的定量关系,对哈特曼传感器参数进行了分析优化,并分析了星载望远镜指向偏差测量精度。研究结果表明:采用基于哈特曼原理的多子孔径空间复用方法,可以实现对星载望远镜指向偏差0.62 nrad的高精度测量,为空间引力波探测望远镜地面测试及在轨传感器定标提供了可行途径和参考。

       

      Abstract: The spaceborne telescope plays a critical role in detecting gravitational waves in space. Given transmission distances of approximately 109 meters between different constellations, there are stringent requirements for nanoradian precision in telescope pointing accuracy. Accurate pointing deviation measurement and calibration are essential prerequisites for achieving high-precision pointing in space-based gravitational wave detection telescopes. To meet the ground testing and sensor calibration needs for space telescopes' pointing deviation, this paper introduces a novel high-precision measurement method based on the Hartmann principle. By utilizing the concept of multi-aperture spatial reuse, this approach mitigates the impact of various sources of random errors, significantly improving the precision of pointing deviation measurements. The paper conducts an analysis and optimization of Hartmann sensor parameters, establishing a quantitative relationship between sensor parameters and pointing deviation measurement accuracy. The research findings demonstrate that the multi-aperture spatial reuse method based on the Hartmann principle can achieve highly precise measurements of telescope pointing deviations, with the accuracy as low as 0.32 nrad. This method offers a feasible approach and serves as a reference for ground testing and in-orbit sensor calibration of space-based gravitational wave detection telescopes.