{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,23]],"date-time":"2026-03-23T20:12:13Z","timestamp":1774296733211,"version":"3.50.1"},"reference-count":26,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2019,9,29]],"date-time":"2019-09-29T00:00:00Z","timestamp":1569715200000},"content-version":"vor","delay-in-days":271,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11703006"],"award-info":[{"award-number":["11703006"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11701463"],"award-info":[{"award-number":["11701463"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11671278"],"award-info":[{"award-number":["11671278"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100009074","name":"Huaiyin Institute of Technology","doi-asserted-by":"publisher","award":["17HGZ004"],"award-info":[{"award-number":["17HGZ004"]}],"id":[{"id":"10.13039\/501100009074","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2019,1]]},"abstract":"<jats:p>We study the planar symmetric central configurations of the 1\u2009+\u20094\u2010body problem where the symmetry axis does not contain any infinitesimal masses. Under certain assumptions, we find analytically some central configurations for suitable positive masses and also get some numerical results of symmetric central configurations where infinitesimal masses are not necessarily equal.<\/jats:p>","DOI":"10.1155\/2019\/4680716","type":"journal-article","created":{"date-parts":[[2019,9,30]],"date-time":"2019-09-30T02:21:49Z","timestamp":1569810109000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["On the Symmetric Central Configurations for the Planar 1\u2009+\u20094\u2010Body Problem"],"prefix":"10.1155","volume":"2019","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7881-0335","authenticated-orcid":false,"given":"Chunhua","family":"Deng","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1880-6961","authenticated-orcid":false,"given":"Fengying","family":"Li","sequence":"additional","affiliation":[]},{"given":"Shiqing","family":"Zhang","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2019,9,29]]},"reference":[{"key":"e_1_2_10_1_2","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/198\/02494"},{"key":"e_1_2_10_2_2","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.2009.0115"},{"key":"e_1_2_10_3_2","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/18\/5\/021"},{"key":"e_1_2_10_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10569-007-9102-9"},{"key":"e_1_2_10_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10569-009-9219-0"},{"key":"e_1_2_10_6_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10569-007-9107-4"},{"key":"e_1_2_10_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10569-011-9342-6"},{"key":"e_1_2_10_8_2","doi-asserted-by":"publisher","DOI":"10.2307\/2007159"},{"key":"e_1_2_10_9_2","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511623660"},{"key":"e_1_2_10_10_2","doi-asserted-by":"publisher","DOI":"10.1007\/bf01230241"},{"key":"e_1_2_10_11_2","doi-asserted-by":"publisher","DOI":"10.1007\/bf02426672"},{"key":"e_1_2_10_12_2","doi-asserted-by":"publisher","DOI":"10.1090\/cbms\/104"},{"key":"e_1_2_10_13_2","volume-title":"The Analytical Foundations of Celestial Mechanics, Princeton Mathematical Series, 5","author":"Wintner A.","year":"1941"},{"key":"e_1_2_10_14_2","doi-asserted-by":"crossref","unstructured":"DengC.andZhangS. On the symmetric central configurations for the planar 1 + 4-body problem 2017 https:\/\/www.researchgate.net\/publication\/319235685On_the_symmetric_central_configurations_for_the_planar_1+4-body_problem.","DOI":"10.1155\/2019\/4680716"},{"key":"e_1_2_10_15_2","first-page":"69","volume-title":"Maxwell on Saturn\u2019s Rings","author":"Maxwell J. C.","year":"1985"},{"key":"e_1_2_10_16_2","volume-title":"Central Configurations in the Planar 1 + n Body Problem","author":"Hall G. R."},{"key":"e_1_2_10_17_2","doi-asserted-by":"publisher","DOI":"10.1007\/bf02219187"},{"key":"e_1_2_10_18_2","doi-asserted-by":"publisher","DOI":"10.1023\/b:cele.0000023420.80881.67"},{"key":"e_1_2_10_19_2","doi-asserted-by":"publisher","DOI":"10.1023\/B:CELE.0000043569.25307.ab"},{"key":"e_1_2_10_20_2","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2012.32.3715"},{"key":"e_1_2_10_21_2","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/292\/04914"},{"key":"e_1_2_10_22_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10569-010-9316-0"},{"key":"e_1_2_10_23_2","doi-asserted-by":"publisher","DOI":"10.1137\/140978661"},{"key":"e_1_2_10_24_2","doi-asserted-by":"crossref","unstructured":"RobertsG. Linear stability of the n + 1 -gon relative equilibrium 6 Proceedings of the Hamiltonian Systems and Celestial Mechanics (HAMSYS-98) October 2000 Patzcuaro Mexico World Scientific Monograph Series in Mathematics 303\u2013330 https:\/\/doi.org\/10.1142\/9789812792099_0018.","DOI":"10.1142\/9789812792099_0018"},{"key":"e_1_2_10_25_2","first-page":"309","article-title":"The dynamics of coorbital satellite systems","volume":"205","author":"Salo H.","year":"1988","journal-title":"Astronomy & Astrophysics"},{"key":"e_1_2_10_26_2","doi-asserted-by":"publisher","DOI":"10.1007\/bf00693325"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2019\/4680716.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2019\/4680716.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2019\/4680716","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,7]],"date-time":"2024-08-07T12:23:26Z","timestamp":1723033406000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2019\/4680716"}},"subtitle":[],"editor":[{"given":"Sigurdur F.","family":"Hafstein","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2019,1]]},"references-count":26,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2019,1]]}},"alternative-id":["10.1155\/2019\/4680716"],"URL":"https:\/\/doi.org\/10.1155\/2019\/4680716","archive":["Portico"],"relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"value":"1076-2787","type":"print"},{"value":"1099-0526","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,1]]},"assertion":[{"value":"2019-03-23","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2019-08-27","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2019-09-29","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"4680716"}}