评估不同类型 Theta-phi 定位器碰撞概率的一般方法

Baolong Chen, Jianping Wang, Zhigang Liu, Zengxiang Zhou, Hongzhuan Hu, Feifan Zhang
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引用次数: 0

摘要

在许多现代天文设施中,多目标望远镜都是至关重要的仪器。这些望远镜的焦平面上大多安装有数千个机器人光纤定位器(RFP),共享一个重叠的工作空间。在移动过程中,RFP 之间的碰撞会导致某些目标无法到达,并造成结构损坏。因此,有必要合理评估和评价 RFP 的碰撞概率。在本研究中,我们提出了碰撞概率的数学模型,并通过蒙特卡罗模拟验证了其结果。此外,我们还提出了一种新的碰撞计算方法,使计算速度更快(接近原计算时间的 0.15%)。模拟实验验证了我们的方法可以评估臂长相等和不相等的 RFP 之间的碰撞概率。此外,我们还发现采用基于泊松分布的目标分布可以将碰撞概率平均降低约 2.6%。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
General Methods for Evaluating Collision Probability of Different Types of Theta-phi Positioners
In many modern astronomical facilities, multi-object telescopes are crucial instruments. Most of these telescopes have thousands of robotic fiber positioners(RFPs) installed on their focal plane, sharing an overlapping workspace. Collisions between RFPs during their movement can result in some targets becoming unreachable and cause structural damage. Therefore, it is necessary to reasonably assess and evaluate the collision probability of the RFPs. In this study, we propose a mathematical models of collision probability and validate its results using Monte Carlo simulations. In addition, a new collision calculation method is proposed for faster calculation(nearly 0.15% of original time). Simulation experiments have verified that our method can evaluate the collision probability between RFPs with both equal and unequal arm lengths. Additionally, we found that adopting a target distribution based on a Poisson distribution can reduce the collision probability by approximately 2.6% on average.
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