Fast Determination of Satellite-to-Moon Visibility Using an Adaptive Interpolation Method Based on Vertex Protection
Fast determination of satellite visibility with respect to a target area is important for satellite navigation and positioning. In this paper, we propose an adaptive interpolation algorithm based on vertex protection to solve the satellite visibility period problem more accurately and quickly, where...
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| Published in: | Sensors (Basel, Switzerland) Vol. 22; no. 12; p. 4451 |
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| Language: | English |
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| Abstract | Fast determination of satellite visibility with respect to a target area is important for satellite navigation and positioning. In this paper, we propose an adaptive interpolation algorithm based on vertex protection to solve the satellite visibility period problem more accurately and quickly, where “vertex” refers to the local extremum point. The algorithm can avoid the error in the visibility period calculation caused by skimming the vertices when fitting the multi-hump visibility function under certain fitting accuracy requirements with the traditional adaptive interpolation method. The algorithm does not need to construct a cubic polynomial in each subinterval to determine whether the satellite is visible or not; it only constructs a cubic polynomial to solve the problem if the visibility function of that subinterval is judged to have a solution from the existence theorem of zero points, which can improve the computational efficiency. For the lunar navigation problem, a solution to satellite–Moon visibility calculations based on a vertex-protected adaptive interpolation is given, and the experimental results show that the computation time of the algorithm can be reduced by approximately 98% compared with the brute force method and by approximately 30% compared with the traditional adaptive interpolation algorithm. |
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| AbstractList | Fast determination of satellite visibility with respect to a target area is important for satellite navigation and positioning. In this paper, we propose an adaptive interpolation algorithm based on vertex protection to solve the satellite visibility period problem more accurately and quickly, where “vertex” refers to the local extremum point. The algorithm can avoid the error in the visibility period calculation caused by skimming the vertices when fitting the multi-hump visibility function under certain fitting accuracy requirements with the traditional adaptive interpolation method. The algorithm does not need to construct a cubic polynomial in each subinterval to determine whether the satellite is visible or not; it only constructs a cubic polynomial to solve the problem if the visibility function of that subinterval is judged to have a solution from the existence theorem of zero points, which can improve the computational efficiency. For the lunar navigation problem, a solution to satellite–Moon visibility calculations based on a vertex-protected adaptive interpolation is given, and the experimental results show that the computation time of the algorithm can be reduced by approximately 98% compared with the brute force method and by approximately 30% compared with the traditional adaptive interpolation algorithm. Fast determination of satellite visibility with respect to a target area is important for satellite navigation and positioning. In this paper, we propose an adaptive interpolation algorithm based on vertex protection to solve the satellite visibility period problem more accurately and quickly, where "vertex" refers to the local extremum point. The algorithm can avoid the error in the visibility period calculation caused by skimming the vertices when fitting the multi-hump visibility function under certain fitting accuracy requirements with the traditional adaptive interpolation method. The algorithm does not need to construct a cubic polynomial in each subinterval to determine whether the satellite is visible or not; it only constructs a cubic polynomial to solve the problem if the visibility function of that subinterval is judged to have a solution from the existence theorem of zero points, which can improve the computational efficiency. For the lunar navigation problem, a solution to satellite-Moon visibility calculations based on a vertex-protected adaptive interpolation is given, and the experimental results show that the computation time of the algorithm can be reduced by approximately 98% compared with the brute force method and by approximately 30% compared with the traditional adaptive interpolation algorithm.Fast determination of satellite visibility with respect to a target area is important for satellite navigation and positioning. In this paper, we propose an adaptive interpolation algorithm based on vertex protection to solve the satellite visibility period problem more accurately and quickly, where "vertex" refers to the local extremum point. The algorithm can avoid the error in the visibility period calculation caused by skimming the vertices when fitting the multi-hump visibility function under certain fitting accuracy requirements with the traditional adaptive interpolation method. The algorithm does not need to construct a cubic polynomial in each subinterval to determine whether the satellite is visible or not; it only constructs a cubic polynomial to solve the problem if the visibility function of that subinterval is judged to have a solution from the existence theorem of zero points, which can improve the computational efficiency. For the lunar navigation problem, a solution to satellite-Moon visibility calculations based on a vertex-protected adaptive interpolation is given, and the experimental results show that the computation time of the algorithm can be reduced by approximately 98% compared with the brute force method and by approximately 30% compared with the traditional adaptive interpolation algorithm. |
| Author | Shen, Pengli Liu, Dongliang Cheng, Fang Li, Xiaowan |
| AuthorAffiliation | 1 National Time Service Center, Chinese Academy of Sciences, Xi’an 710600, China; chengfang@ntsc.ac.cn (F.C.); shenpengli@ntsc.ac.cn (P.S.); liudongliang20@mails.ucas.ac.cn (D.L.) 3 Key Laboratory of Precise Positioning and Timing Technology, Chinese Academy of Sciences, Xi’an 710600, China 2 University of Chinese Academy of Sciences, Beijing 100049, China |
| AuthorAffiliation_xml | – name: 1 National Time Service Center, Chinese Academy of Sciences, Xi’an 710600, China; chengfang@ntsc.ac.cn (F.C.); shenpengli@ntsc.ac.cn (P.S.); liudongliang20@mails.ucas.ac.cn (D.L.) – name: 2 University of Chinese Academy of Sciences, Beijing 100049, China – name: 3 Key Laboratory of Precise Positioning and Timing Technology, Chinese Academy of Sciences, Xi’an 710600, China |
| Author_xml | – sequence: 1 givenname: Xiaowan orcidid: 0000-0002-6071-0392 surname: Li fullname: Li, Xiaowan – sequence: 2 givenname: Fang surname: Cheng fullname: Cheng, Fang – sequence: 3 givenname: Pengli orcidid: 0000-0002-4697-3946 surname: Shen fullname: Shen, Pengli – sequence: 4 givenname: Dongliang surname: Liu fullname: Liu, Dongliang |
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| Cites_doi | 10.1109/AERO47225.2020.9172327 10.1016/j.asr.2020.05.018 10.2514/3.20177 10.1109/TPDS.2013.156 10.1017/CBO9780511801181 10.1007/s10291-016-0587-0 10.1016/j.asr.2012.12.007 10.1016/j.ast.2015.11.003 10.2514/2.3572 10.1007/978-3-642-58351-3 10.1109/7.805436 10.1016/j.ast.2019.105377 |
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| References | Wang (ref_6) 2014; 25 Yang (ref_2) 2016; 21 Li (ref_3) 2016; 48 Ali (ref_19) 1999; 35 ref_14 ref_13 ref_12 Ulybyshev (ref_4) 2015; 37 ref_10 Han (ref_5) 2017; 2 Lawton (ref_7) 2015; 10 Giordano (ref_16) 2020; 66 ref_18 ref_17 Wang (ref_11) 2019; 94 ref_15 ref_9 Alfano (ref_8) 1992; 40 Jin (ref_1) 2013; 51 |
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| SubjectTerms | Accuracy adaptive interpolation Algorithms Approximation Artificial satellites lunar navigation Moon rapid determination satellite-to-Moon visibility vertex protection |
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| Title | Fast Determination of Satellite-to-Moon Visibility Using an Adaptive Interpolation Method Based on Vertex Protection |
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