{"title":"相对论性R3BP中l4,5周围的运动，具有较小的三轴原星","authors":"Nakone Bello , Jagadish Singh","doi":"10.1016/j.jnnms.2015.07.001","DOIUrl":null,"url":null,"abstract":"<div><p>This paper deals with the triangular points <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>4</mn><mo>,</mo><mn>5</mn></mrow></msub></math></span> of the relativistic restricted three-body problem (R3BP) when the smaller primary is assumed triaxial. It is noticed that the locations and stability of the triangular points are affected by both relativistic and triaxiality pertubations. It can be easily seen that the range of stability region of these points is reduced by the effects of relativistic and triaxiality factors and more especially decreases with the increase of triaxiality factor.</p></div>","PeriodicalId":17275,"journal":{"name":"Journal of the Nigerian Mathematical Society","volume":"34 3","pages":"Pages 361-368"},"PeriodicalIF":0.0000,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jnnms.2015.07.001","citationCount":"0","resultStr":"{\"title\":\"Motion around L4,5 in the relativistic R3BP with smaller triaxial primary\",\"authors\":\"Nakone Bello , Jagadish Singh\",\"doi\":\"10.1016/j.jnnms.2015.07.001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper deals with the triangular points <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>4</mn><mo>,</mo><mn>5</mn></mrow></msub></math></span> of the relativistic restricted three-body problem (R3BP) when the smaller primary is assumed triaxial. It is noticed that the locations and stability of the triangular points are affected by both relativistic and triaxiality pertubations. It can be easily seen that the range of stability region of these points is reduced by the effects of relativistic and triaxiality factors and more especially decreases with the increase of triaxiality factor.</p></div>\",\"PeriodicalId\":17275,\"journal\":{\"name\":\"Journal of the Nigerian Mathematical Society\",\"volume\":\"34 3\",\"pages\":\"Pages 361-368\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.jnnms.2015.07.001\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Nigerian Mathematical Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0189896515000463\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Nigerian Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0189896515000463","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Motion around L4,5 in the relativistic R3BP with smaller triaxial primary
This paper deals with the triangular points of the relativistic restricted three-body problem (R3BP) when the smaller primary is assumed triaxial. It is noticed that the locations and stability of the triangular points are affected by both relativistic and triaxiality pertubations. It can be easily seen that the range of stability region of these points is reduced by the effects of relativistic and triaxiality factors and more especially decreases with the increase of triaxiality factor.
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