{"title":"非平面五体中心构型的非平面极限","authors":"Alain Albouy, Antonio Carlos Fernandes","doi":"10.1007/s00205-023-01949-7","DOIUrl":null,"url":null,"abstract":"<p>Moeckel (Math Z 205:499–517, 1990), Moeckel and Simó (SIAM J Math Anal 26:978–998, 1995) proved that, while continuously changing the masses, a 946-body planar central configuration bifurcates into a spatial central configuration. We show that this kind of bifurcation does not occur with 5 bodies. Question 17 in the list (Albouy et al. in Celest Mech Dyn Astr 113:369–375, 2012) is thus answered negatively.</p>","PeriodicalId":55484,"journal":{"name":"Archive for Rational Mechanics and Analysis","volume":null,"pages":null},"PeriodicalIF":2.6000,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Limit of Nonplanar 5-Body Central Configurations is Nonplanar\",\"authors\":\"Alain Albouy, Antonio Carlos Fernandes\",\"doi\":\"10.1007/s00205-023-01949-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Moeckel (Math Z 205:499–517, 1990), Moeckel and Simó (SIAM J Math Anal 26:978–998, 1995) proved that, while continuously changing the masses, a 946-body planar central configuration bifurcates into a spatial central configuration. We show that this kind of bifurcation does not occur with 5 bodies. Question 17 in the list (Albouy et al. in Celest Mech Dyn Astr 113:369–375, 2012) is thus answered negatively.</p>\",\"PeriodicalId\":55484,\"journal\":{\"name\":\"Archive for Rational Mechanics and Analysis\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.6000,\"publicationDate\":\"2024-01-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archive for Rational Mechanics and Analysis\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s00205-023-01949-7\",\"RegionNum\":1,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archive for Rational Mechanics and Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00205-023-01949-7","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
A Limit of Nonplanar 5-Body Central Configurations is Nonplanar
Moeckel (Math Z 205:499–517, 1990), Moeckel and Simó (SIAM J Math Anal 26:978–998, 1995) proved that, while continuously changing the masses, a 946-body planar central configuration bifurcates into a spatial central configuration. We show that this kind of bifurcation does not occur with 5 bodies. Question 17 in the list (Albouy et al. in Celest Mech Dyn Astr 113:369–375, 2012) is thus answered negatively.
期刊介绍：
The Archive for Rational Mechanics and Analysis nourishes the discipline of mechanics as a deductive, mathematical science in the classical tradition and promotes analysis, particularly in the context of application. Its purpose is to give rapid and full publication to research of exceptional moment, depth and permanence.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
