A Reverse-Design Strategy for the Track Error of the Qi Tai Telescope Based on Pointing Accuracy
The Qi Tai Telescope (QTT), which has a 110 m aperture, is planned to be the largest scale steerable telescope in the world. Ideally, the telescope’s repeated pointing accuracy error should be less than 2.5 arc seconds (arcsec); thus, the telescope structure must satisfy ultra-high precision require...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-06-01
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| Series: | Engineering |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2095809921005658 |
| _version_ | 1811221765625479168 |
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| author | Na Li Baoyan Duan Xiangyang Li Bin Zheng Jiang Wu |
| author_facet | Na Li Baoyan Duan Xiangyang Li Bin Zheng Jiang Wu |
| author_sort | Na Li |
| collection | DOAJ |
| description | The Qi Tai Telescope (QTT), which has a 110 m aperture, is planned to be the largest scale steerable telescope in the world. Ideally, the telescope’s repeated pointing accuracy error should be less than 2.5 arc seconds (arcsec); thus, the telescope structure must satisfy ultra-high precision requirements. In this pursuit, the present research envisages a reverse-design method for the track surface to reduce the difficulty of the telescope’s design and manufacture. First, the distribution characteristics of the test data for the track error were verified using the skewness coefficient and kurtosis coefficient methods. According to the distribution characteristics, the azimuth track error was simulated by a two-scale model. The error of the long period and short amplitude was characterized as large-scale and described by a trigonometric function, while the short period and high amplitude error was characterized as small-scale and simulated by a fractal function. Based on the two-scale model, effect of the error on the pointing accuracy was deduced. Subsequently, the relationship between the root mean square (RMS) of the track error and the RMS of the pointing accuracy error of the telescope was deduced. Finally, the allowable RMS value of the track error was derived from the allowable pointing accuracy errors. To validate the effectiveness of the new design method, two typical radio telescopes (the Green Bank Telescope (GBT) and the Large Millimeter Telescope (LMT)) were selected as experimental examples. Through comparison, the theoretical calculated values of the pointing accuracy of the telescope were consistent with the measured values, with a maximum error of less than 10%. |
| first_indexed | 2024-04-12T08:06:04Z |
| format | Article |
| id | doaj.art-c9347845fad844c3a021b72e2387e6aa |
| institution | Directory Open Access Journal |
| issn | 2095-8099 |
| language | English |
| last_indexed | 2024-04-12T08:06:04Z |
| publishDate | 2022-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Engineering |
| spelling | doaj.art-c9347845fad844c3a021b72e2387e6aa2022-12-22T03:41:11ZengElsevierEngineering2095-80992022-06-0113209216A Reverse-Design Strategy for the Track Error of the Qi Tai Telescope Based on Pointing AccuracyNa Li0Baoyan Duan1Xiangyang Li2Bin Zheng3Jiang Wu4Corresponding author.; Key Laboratory of Electronic Equipment Structure Design, Ministry of Education, Xidian University, Xi’an 710061, ChinaKey Laboratory of Electronic Equipment Structure Design, Ministry of Education, Xidian University, Xi’an 710061, ChinaKey Laboratory of Electronic Equipment Structure Design, Ministry of Education, Xidian University, Xi’an 710061, ChinaKey Laboratory of Electronic Equipment Structure Design, Ministry of Education, Xidian University, Xi’an 710061, ChinaKey Laboratory of Electronic Equipment Structure Design, Ministry of Education, Xidian University, Xi’an 710061, ChinaThe Qi Tai Telescope (QTT), which has a 110 m aperture, is planned to be the largest scale steerable telescope in the world. Ideally, the telescope’s repeated pointing accuracy error should be less than 2.5 arc seconds (arcsec); thus, the telescope structure must satisfy ultra-high precision requirements. In this pursuit, the present research envisages a reverse-design method for the track surface to reduce the difficulty of the telescope’s design and manufacture. First, the distribution characteristics of the test data for the track error were verified using the skewness coefficient and kurtosis coefficient methods. According to the distribution characteristics, the azimuth track error was simulated by a two-scale model. The error of the long period and short amplitude was characterized as large-scale and described by a trigonometric function, while the short period and high amplitude error was characterized as small-scale and simulated by a fractal function. Based on the two-scale model, effect of the error on the pointing accuracy was deduced. Subsequently, the relationship between the root mean square (RMS) of the track error and the RMS of the pointing accuracy error of the telescope was deduced. Finally, the allowable RMS value of the track error was derived from the allowable pointing accuracy errors. To validate the effectiveness of the new design method, two typical radio telescopes (the Green Bank Telescope (GBT) and the Large Millimeter Telescope (LMT)) were selected as experimental examples. Through comparison, the theoretical calculated values of the pointing accuracy of the telescope were consistent with the measured values, with a maximum error of less than 10%.http://www.sciencedirect.com/science/article/pii/S2095809921005658Reverse designTrack errorLarge radio telescopeTwo-scale modelPointing accuracy |
| spellingShingle | Na Li Baoyan Duan Xiangyang Li Bin Zheng Jiang Wu A Reverse-Design Strategy for the Track Error of the Qi Tai Telescope Based on Pointing Accuracy Engineering Reverse design Track error Large radio telescope Two-scale model Pointing accuracy |
| title | A Reverse-Design Strategy for the Track Error of the Qi Tai Telescope Based on Pointing Accuracy |
| title_full | A Reverse-Design Strategy for the Track Error of the Qi Tai Telescope Based on Pointing Accuracy |
| title_fullStr | A Reverse-Design Strategy for the Track Error of the Qi Tai Telescope Based on Pointing Accuracy |
| title_full_unstemmed | A Reverse-Design Strategy for the Track Error of the Qi Tai Telescope Based on Pointing Accuracy |
| title_short | A Reverse-Design Strategy for the Track Error of the Qi Tai Telescope Based on Pointing Accuracy |
| title_sort | reverse design strategy for the track error of the qi tai telescope based on pointing accuracy |
| topic | Reverse design Track error Large radio telescope Two-scale model Pointing accuracy |
| url | http://www.sciencedirect.com/science/article/pii/S2095809921005658 |
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