Eman M. Moneer , Yazan M. Allawi , Meznah M. Alanazi , Euaggelos E. Zotos
{"title":"揭示了具有非球面辐射体的受限三体问题的面外平衡点的性质","authors":"Eman M. Moneer , Yazan M. Allawi , Meznah M. Alanazi , Euaggelos E. Zotos","doi":"10.1016/j.newast.2023.102061","DOIUrl":null,"url":null,"abstract":"<div><p>Our target is to understand and also reveal the dynamics of the out-of-plane points of equilibrium of the restricted version of the 3-body problem with equally massed radiating bodies that have either prolate or oblate shapes. We use standard root-finding numerical methods of high accuracy for determining the coordinates of the locations of the out-of-plane equilibria and also for computing their linear stability. For obtaining a global view of how the two system’s parameters, that is the prolateness/oblateness coefficient and the radiation pressure factor, affect the equilibria dynamics we perform a systematic and thorough scan of the parameters space. Our analysis suggests that the out-of-plane equilibria are highly affected by these two parameters and play a key role in the overall dynamics of the system.</p></div>","PeriodicalId":54727,"journal":{"name":"New Astronomy","volume":"103 ","pages":"Article 102061"},"PeriodicalIF":1.9000,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Revealing the properties of the out-of-plane points of equilibrium of the restricted 3-body problem with non-spherical radiating bodies\",\"authors\":\"Eman M. Moneer , Yazan M. Allawi , Meznah M. Alanazi , Euaggelos E. Zotos\",\"doi\":\"10.1016/j.newast.2023.102061\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Our target is to understand and also reveal the dynamics of the out-of-plane points of equilibrium of the restricted version of the 3-body problem with equally massed radiating bodies that have either prolate or oblate shapes. We use standard root-finding numerical methods of high accuracy for determining the coordinates of the locations of the out-of-plane equilibria and also for computing their linear stability. For obtaining a global view of how the two system’s parameters, that is the prolateness/oblateness coefficient and the radiation pressure factor, affect the equilibria dynamics we perform a systematic and thorough scan of the parameters space. Our analysis suggests that the out-of-plane equilibria are highly affected by these two parameters and play a key role in the overall dynamics of the system.</p></div>\",\"PeriodicalId\":54727,\"journal\":{\"name\":\"New Astronomy\",\"volume\":\"103 \",\"pages\":\"Article 102061\"},\"PeriodicalIF\":1.9000,\"publicationDate\":\"2023-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"New Astronomy\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1384107623000623\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ASTRONOMY & ASTROPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"New Astronomy","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1384107623000623","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
Revealing the properties of the out-of-plane points of equilibrium of the restricted 3-body problem with non-spherical radiating bodies
Our target is to understand and also reveal the dynamics of the out-of-plane points of equilibrium of the restricted version of the 3-body problem with equally massed radiating bodies that have either prolate or oblate shapes. We use standard root-finding numerical methods of high accuracy for determining the coordinates of the locations of the out-of-plane equilibria and also for computing their linear stability. For obtaining a global view of how the two system’s parameters, that is the prolateness/oblateness coefficient and the radiation pressure factor, affect the equilibria dynamics we perform a systematic and thorough scan of the parameters space. Our analysis suggests that the out-of-plane equilibria are highly affected by these two parameters and play a key role in the overall dynamics of the system.
期刊介绍:
New Astronomy publishes articles in all fields of astronomy and astrophysics, with a particular focus on computational astronomy: mathematical and astronomy techniques and methodology, simulations, modelling and numerical results and computational techniques in instrumentation.
New Astronomy includes full length research articles and review articles. The journal covers solar, stellar, galactic and extragalactic astronomy and astrophysics. It reports on original research in all wavelength bands, ranging from radio to gamma-ray.