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The outline design problem of navigation constellation near libration point is studied for deep space exploration. Firstly, the model of circular restricted three body problem near libration point is given, and the differential correction method is provided to calculate periodic orbits, of which the stability factor is also introduced. Secondly, the concept of effective coverage is defined, and the elements and the steps to design the constellation are proposed. Then, the outline design, performance analysis and evaluation of the navigation constellation are carried out concretely from aspects of orbits selection, space coverage, geometric dilution of precision factor, signal transmission and navigation precision. Compared with the case of global position system, the feasibility of the navigation constellation in libration point orbit is proved, and the performance index is provided. By analysis, the designed navigation constellation in L3-Vertical orbit with 5 satellites is able to provide navigation service for most of the spacecrafts in the space of between the earth and the moon, and the navigation precision is better than 10 m if the orbit determination errors of the constellation are not considered.
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Keywords:
- libration point /
- navigation constellation /
- outline design /
- performance analysis
[1] Zhang S X 1996 GPS Satellite Positioning and Measurement: Theory and Application (Changsha: National University of Defense Technology Press) pp1-5 (in Chinese) [张守信 1996 GPS卫星测量定位理论与应用 (长沙: 国防科技大学出版社) 第1–5页]
[2] Yuan J P, Luo J J, Yue X K, Fang Q 2003 Satellite Navigation System: Principle and Application (Beijing: China Astronautic Publishing House) p40, 193 (in Chinese) [袁建平, 罗建军, 岳晓奎, 方群 2003 卫星导航原理与应用(北京: 中国宇航出版社) 第40, 193页]
[3] Bhasin K, Hayden J L 2004 AIAA International Communications Satellite Systems Conference and Exhibit Monterey, United State, May 9-12, 2004 p1180
[4] Kulkarni T R, Dharne A, Mortari D 2005 Space Exploration Conference: Continuing the Voyage of Discovery Orlando, United State, Jan. 30-Feb. 1, 2005 p382
[5] Lee S, Kim J H, Lee S P 2003 J. Astronanfical Space Sci. 20 4
[6] Xu S J, Xu M 2006 International Astronautical Congress Spain, Oct. 2-6, 2006 IAC-06-A3.4.03
[7] Space Communication Architecture Working Group (SCAWG) 2006 NASA Space Communication and Navigation Architecture Recommendations for 2005-2030 May, 2006 p100
[8] Grebow D, Ozimek M, Howell K, Folta D 2006 AAS 06-179, AAS/AIAA Space Flight Mechanics Conference Tampa, Florida, January 22-26, 2006 p367
[9] Farquhar R W 1970 NASA Technical Report TR R-346,1970 p31
[10] Kathryn H, Todd M, Mark G, Robert P, Leon S, Joseph T AIAA: 26th International Communications Satellite Syetems Conferencee San Diego, CA, June. 10-12, 2008 p5480
[11] Chen Y L, Wu X 2013 Acta Phys. Sin. 62 140501 (in Chinese) [陈云龙, 伍歆 2013 62 140501]
[12] Szebehely V 1967 Theory of Orbits: The Res (Academic Press) p159
[13] Poincare H 1993 History of Modern Physics and Astronomy (Vol. 13) (College Park: American Institute of Physics)
[14] Richardson D L 1980 Celest. Mech. 22 3 241
[15] Dichmann D, Doedel E, Paffenroth R 2003 Libration Point Orbits and Applications (Hong Kong: World Scientific Press) p171
[16] Zhang Y D 2012 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [张跃东 2012 博士学位论文 (长沙: 国防科学技术大学)]
[17] Doedel E J, Romanov V, Paffenroth R C, Keller H B, Dichmann D J, et al. 2007 Int. J. Bifurcat. Chaos Appl. Sci. Engineer. 17 8
[18] Meng Y H, Chen K J, Dai J H 2009 39 3 (in Chinese) [孟云鹤, 陈克俊, 戴金海 2009 中国科学E辑: 技术科学 39 3]
[19] Sun H T, Wang C H, Feng J D 2004 Electro-Optic Technol. Appl. 19 3 (in Chinese) [孙洪拓, 王长青, 冯继东 2004 光电技术应用 19 3]
[20] Karunanayake M D, Cannon M E, Lachapelle G 2004 Proceedings of the Institute of Navigation GNSS Conference Long Beach, CA, September 21-24, 2004 p1107
[21] Fan L T 2009 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [范利涛 2009 博士学位论文 (长沙: 国防科学技术大学)]
[22] Yang C, Guo L X, Wu Z S 2010 Chin. Phys. B 19 054101
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[1] Zhang S X 1996 GPS Satellite Positioning and Measurement: Theory and Application (Changsha: National University of Defense Technology Press) pp1-5 (in Chinese) [张守信 1996 GPS卫星测量定位理论与应用 (长沙: 国防科技大学出版社) 第1–5页]
[2] Yuan J P, Luo J J, Yue X K, Fang Q 2003 Satellite Navigation System: Principle and Application (Beijing: China Astronautic Publishing House) p40, 193 (in Chinese) [袁建平, 罗建军, 岳晓奎, 方群 2003 卫星导航原理与应用(北京: 中国宇航出版社) 第40, 193页]
[3] Bhasin K, Hayden J L 2004 AIAA International Communications Satellite Systems Conference and Exhibit Monterey, United State, May 9-12, 2004 p1180
[4] Kulkarni T R, Dharne A, Mortari D 2005 Space Exploration Conference: Continuing the Voyage of Discovery Orlando, United State, Jan. 30-Feb. 1, 2005 p382
[5] Lee S, Kim J H, Lee S P 2003 J. Astronanfical Space Sci. 20 4
[6] Xu S J, Xu M 2006 International Astronautical Congress Spain, Oct. 2-6, 2006 IAC-06-A3.4.03
[7] Space Communication Architecture Working Group (SCAWG) 2006 NASA Space Communication and Navigation Architecture Recommendations for 2005-2030 May, 2006 p100
[8] Grebow D, Ozimek M, Howell K, Folta D 2006 AAS 06-179, AAS/AIAA Space Flight Mechanics Conference Tampa, Florida, January 22-26, 2006 p367
[9] Farquhar R W 1970 NASA Technical Report TR R-346,1970 p31
[10] Kathryn H, Todd M, Mark G, Robert P, Leon S, Joseph T AIAA: 26th International Communications Satellite Syetems Conferencee San Diego, CA, June. 10-12, 2008 p5480
[11] Chen Y L, Wu X 2013 Acta Phys. Sin. 62 140501 (in Chinese) [陈云龙, 伍歆 2013 62 140501]
[12] Szebehely V 1967 Theory of Orbits: The Res (Academic Press) p159
[13] Poincare H 1993 History of Modern Physics and Astronomy (Vol. 13) (College Park: American Institute of Physics)
[14] Richardson D L 1980 Celest. Mech. 22 3 241
[15] Dichmann D, Doedel E, Paffenroth R 2003 Libration Point Orbits and Applications (Hong Kong: World Scientific Press) p171
[16] Zhang Y D 2012 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [张跃东 2012 博士学位论文 (长沙: 国防科学技术大学)]
[17] Doedel E J, Romanov V, Paffenroth R C, Keller H B, Dichmann D J, et al. 2007 Int. J. Bifurcat. Chaos Appl. Sci. Engineer. 17 8
[18] Meng Y H, Chen K J, Dai J H 2009 39 3 (in Chinese) [孟云鹤, 陈克俊, 戴金海 2009 中国科学E辑: 技术科学 39 3]
[19] Sun H T, Wang C H, Feng J D 2004 Electro-Optic Technol. Appl. 19 3 (in Chinese) [孙洪拓, 王长青, 冯继东 2004 光电技术应用 19 3]
[20] Karunanayake M D, Cannon M E, Lachapelle G 2004 Proceedings of the Institute of Navigation GNSS Conference Long Beach, CA, September 21-24, 2004 p1107
[21] Fan L T 2009 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [范利涛 2009 博士学位论文 (长沙: 国防科学技术大学)]
[22] Yang C, Guo L X, Wu Z S 2010 Chin. Phys. B 19 054101
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