Plate Analysis算法演示：一种用于精确相对天体测量的算法
Demonstration of Plate Analysis, an algorithm for precise relative astrometry
AI总结：
本文提出Plate Analysis算法，基于参考源校正几何畸变，实现宽视场精确相对天体测量，经JASMINE模拟验证，平均位置误差约70微角秒。
摘要：
天体测量学通过提供天体的精确位置和运动测量，在理解天体的结构、动力学和演化中发挥着至关重要的作用。我们提出了一种新的宽视场相对天体测量方法——Plate Analysis。Plate Analysis是一种创新算法，它基于精确参考源估计恒星坐标并校正几何畸变，无需依赖专门的校准场。该算法以概率框架实现，使用随机变分推断来高效优化模型中涉及的众多参数。\n该方法通过一个基于JASMINE任务银河系中心巡天设计的简化模拟进行了测试。该模拟被称为JASMINE迷你模拟巡天，覆盖了三年观测期，包含100条卫星轨道，为评估Plate Analysis的性能提供了全面的数据集。尽管观测模型包含了超过30000个参数，但通过Plate Analysis，这些参数得到了高效优化。结果表明，估计坐标与预期的恒星运动高度吻合，平均位置误差约为70微角秒（μas）。这些发现验证了Plate Analysis在精确宽视场天体测量应用中的潜力，为提升恒星动力学测量的精度提供了重要见解。
英文摘要：
Astrometry plays a crucial role in understanding the structure, dynamics, and evolution of celestial objects by providing precise measurements of their positions and motions. We propose a new approach to wide-field, relative astrometry, Plate Analysis. Plate Analysis is an innovative algorithm that estimates stellar coordinates and corrects geometric distortion based on precise reference sources, without relying on dedicated calibration fields. It is implemented as a probabilistic framework using Stochastic Variational Inference to efficiently optimize the numerous parameters involved in the model. The methodology was tested through a simplified simulation designed after the Galactic center survey of the JASMINE mission. This simulation, called the JASMINE mini-mock survey, covered three years of observation with 100 satellite orbits, providing a comprehensive dataset for evaluating the performance of Plate Analysis. Although the observation model incorporated more than 30,000 parameters, the parameters were efficiently optimized through Plate Analysis. The results showed that the estimated coordinates closely match the expected stellar motions, with an average positional error of about $70\,\mathrm{μas}$. These findings validate the potential of Plate Analysis for precise wide-field astrometric applications, offering significant insights into improving the accuracy of stellar dynamics measurements.
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。
