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Appl. Dyn. Syst."],"published-print":{"date-parts":[[2023,12,31]]},"abstract":"<jats:p>Abstract.<\/jats:p>\n                  <jats:p>We study the dynamics of an infinitesimal mass under the gravitational attraction of [Formula: see text] primaries arranged in a planar ring configuration plus the influence of the central mass with a Manev potential [Formula: see text], [Formula: see text], where [Formula: see text] is a parameter related to the oblaticity or radiation source (according to the sign of the parameter [Formula: see text]). Specifically, we investigate the relative equilibria of the infinitesimal mass and their linear stability as functions of the parameter [Formula: see text] and the mass parameter [Formula: see text], the ratio of mass of the central body to the mass of one of the [Formula: see text] remaining bodies. We also prove the nonexistence of binary collisions between the central body and the infinitesimal mass.<\/jats:p>","DOI":"10.1137\/23m1551912","type":"journal-article","created":{"date-parts":[[2023,10,11]],"date-time":"2023-10-11T04:58:59Z","timestamp":1697000339000},"page":"2732-2760","source":"Crossref","is-referenced-by-count":2,"title":["Stability of Equilibrium Points in the Spatially Restricted   \\({\\boldsymbol{N+1}}\\)  -Body Problem with Manev Potential"],"prefix":"10.1137","volume":"22","author":[{"given":"Mauricio","family":"Ascencio","sequence":"first","affiliation":[{"name":"Universidad Del Bio-Bio, Concepcion, Chile."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Esther","family":"Barrab\u00e9s","sequence":"additional","affiliation":[{"name":"Universitat de Girona, Girona, Spain."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Josep M.","family":"Cors","sequence":"additional","affiliation":[{"name":"Universitat Polit\u00e9cnica de Catalunya, Manresa, Spain."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1630-0898","authenticated-orcid":true,"given":"Claudio","family":"Vidal","sequence":"additional","affiliation":[{"name":"Matem\u00e1ticas, Universidad del Bio-Bio Facultad de Ciencias, Concepcion, Concepci\u00f3n, VIII-Regi\u00f3n, Chile."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2023,10,11]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/s10509-015-2544-8"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1063\/1.5128007"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1016\/S0093-6413(03)00086-7"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1016\/S0093-6413(03)00005-3"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/s10569-007-9083-8"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/s12346-021-00462-0"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/s44198-022-00070-9"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/36\/45\/006"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1023\/B:CELE.0000043568.88562.bf"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/s10569-017-9771-y"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/s10569-013-9484-9"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.2514\/1.29524"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/BF00644913"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1023\/A:1001739018698"},{"key":"ref15","first-page":"2159","volume":"178","author":"Maneff G.","year":"1924","journal-title":"C. R. Acad. Sci. Ser. IIa Sci. Terre Planet."},{"key":"ref16","first-page":"637","volume":"6","author":"Mioc V.","year":"1997","journal-title":"Balt. Astron."},{"key":"ref17","first-page":"637","volume":"7","author":"Mioc V.","year":"1998","journal-title":"Balt. Astron."},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1137\/S0036141093248414"},{"key":"ref19","unstructured":"D. J. Scheeres , On Symmetric Central Configurations with Application to Satellite Motion about Rings, Ph.D. thesis, The University of Michigan, Ann Arbor, MI, 1992."}],"container-title":["SIAM Journal on Applied Dynamical Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/23M1551912","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,20]],"date-time":"2026-08-20T12:19:04Z","timestamp":1787228344000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/23M1551912"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,10,11]]},"references-count":19,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2023,12,31]]}},"alternative-id":["10.1137\/23M1551912"],"URL":"https:\/\/doi.org\/10.1137\/23m1551912","relation":{},"ISSN":["1536-0040"],"issn-type":[{"value":"1536-0040","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,10,11]]}}}