General Methods for Evaluating Collision Probability of Different Types of Theta-phi Positioners
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910599869366272 |
|---|---|
| author | Chen, Baolong Wang, Jianping Liu, Zhigang Zhou, Zengxiang Hu, Hongzhuan Zhang, Feifan |
| author_facet | Chen, Baolong Wang, Jianping Liu, Zhigang Zhou, Zengxiang Hu, Hongzhuan Zhang, Feifan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_07288 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | General Methods for Evaluating Collision Probability of Different Types of Theta-phi Positioners Chen, Baolong Wang, Jianping Liu, Zhigang Zhou, Zengxiang Hu, Hongzhuan Zhang, Feifan Robotics 60J20 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. |
| title | General Methods for Evaluating Collision Probability of Different Types of Theta-phi Positioners |
| topic | Robotics 60J20 |
| url | https://arxiv.org/abs/2409.07288 |