{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,22]],"date-time":"2026-09-22T00:00:16Z","timestamp":1790035216125,"version":"4.0.1"},"reference-count":31,"publisher":"AIP Publishing","issue":"2","funder":[{"DOI":"10.13039\/501100012166","name":"National Key Research and Development Program of China","doi-asserted-by":"publisher","award":["2022YFC2203701"],"award-info":[{"award-number":["2022YFC2203701"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2024,2,1]]},"abstract":"<jats:p>To detect low-frequency gravitational waves, it is necessary to eliminate the interference of geo-noise and build a laser interference gravitational-wave detection device in space. Space gravitational-wave detection missions, namely Taiji, LISA, and Tianqin, have been planning to achieve picometer sensitivity on an interferometer arm of several million kilometers to meet the gravitational-wave detection requirements. Because of the orbit evolution and the time delay in interferometer arms, the direction of the transmitted laser beam changes; consequently, a remote telescope cannot receive the laser beam to complete the inter-satellite laser interference. In this study, a two-dimensional point-ahead angle mechanism (2DPAAM) is designed and demonstrated to solve the aforementioned problem. Based on the design concept of aligning the rotation center with the mirror surface center, the 2DPAAM employs a four-link flexible-hinge structure, length expanding and contracting piezoelectric stack actuators, and closed-loop control of capacitive sensors to realize two-dimensional picometer-stable, high-precision rotation. A static model is established to analyze the rotational characteristics, and finite element analysis is performed to study the mechanical properties and to verify the rotational characteristics. The yaw and pitch stiffness errors are \u223c0.93% and 5.9%, respectively, when the theoretical results are compared with the simulation results. A series of experiments are conducted on the developed 2DPAAM, and the results show that the rotary ranges of yaw and pitch motions attain \u00b1270 and \u00b1268\u00a0\u00b5rad, respectively. The rotational accuracies of both yaw and pitch motions attain \u223c0.35\u00a0\u00b5rad, and the optical path difference is less than 10pm\/Hz when the frequency is between 1\u00a0mHz and 1\u00a0Hz, by analogy.<\/jats:p>","DOI":"10.1063\/5.0186061","type":"journal-article","created":{"date-parts":[[2024,2,13]],"date-time":"2024-02-13T22:19:06Z","timestamp":1707862746000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":9,"title":["Development and analysis of two-dimensional point-ahead angle mechanism for space gravitational-wave detection"],"prefix":"10.1063","volume":"95","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4125-4918","authenticated-orcid":false,"given":"Weizhou","family":"Zhu","sequence":"first","affiliation":[{"name":"Key Laboratory of Space Active Opto-electronics Technology, Shanghai Institute of Technical Physics, Chinese Academy of Sciences 1 , Shanghai 200083, China"},{"name":"School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences 2 , Beijing 100049, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0002-5934-4716","authenticated-orcid":false,"given":"Yong","family":"Xie","sequence":"additional","affiliation":[{"name":"Key Laboratory of Space Active Opto-electronics Technology, Shanghai Institute of Technical Physics, Chinese Academy of Sciences 1 , Shanghai 200083, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yuchen","family":"Qian","sequence":"additional","affiliation":[{"name":"Key Laboratory of Space Active Opto-electronics Technology, Shanghai Institute of Technical Physics, Chinese Academy of Sciences 1 , Shanghai 200083, China"},{"name":"School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences 2 , Beijing 100049, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8283-9536","authenticated-orcid":false,"given":"Jianjun","family":"Jia","sequence":"additional","affiliation":[{"name":"Key Laboratory of Space Active Opto-electronics Technology, Shanghai Institute of Technical Physics, Chinese Academy of Sciences 1 , Shanghai 200083, China"},{"name":"School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences 2 , Beijing 100049, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Liang","family":"Zhang","sequence":"additional","affiliation":[{"name":"Key Laboratory of Space Active Opto-electronics Technology, Shanghai Institute of Technical Physics, Chinese Academy of Sciences 1 , Shanghai 200083, China"},{"name":"School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences 2 , Beijing 100049, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7418-299X","authenticated-orcid":false,"given":"Xue","family":"Wang","sequence":"additional","affiliation":[{"name":"Key Laboratory of Space Active Opto-electronics Technology, Shanghai Institute of Technical Physics, Chinese Academy of Sciences 1 , Shanghai 200083, China"},{"name":"School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences 2 , Beijing 100049, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"317","published-online":{"date-parts":[[2024,2,13]]},"reference":[{"key":"2024021502122964300_c1","doi-asserted-by":"publisher","first-page":"310","DOI":"10.1393\/ncc\/i2016-16310-2","article-title":"Observation of gravitational waves from a binary black hole merger","volume":"39","year":"2016","journal-title":"Nuovo Cimento C"},{"key":"2024021502122964300_c2","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1007\/s41114-020-00026-9","article-title":"Prospects for observing and localizing gravitational-wave transients with Advanced LIGO, Advanced Virgo and KAGRA","volume":"23","year":"2020","journal-title":"Living Rev. 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