{"title":"光引力同心Sitnikov问题","authors":"M. Javed Idrisi , M. Shahbaz Ullah","doi":"10.1016/j.ascom.2023.100764","DOIUrl":null,"url":null,"abstract":"<div><p>The current framework involves a configuration of two pairs of primary celestial bodies engaged in synchronized circular orbits around a central point of mass. Additionally, an infinitesimal mass is positioned along the <span><math><mi>z</mi></math></span>-axis, traversing through the system’s center of mass. This distinctive celestial scenario is designated as the <em>Concentric Sitnikov Problem</em>. Notably, it is postulated that the initial pair of primary bodies emit radiation, while the latter pair remains radiation-free. Within the scope of this study, we delve into an exploration of equilibrium points, periodic orbits, and the intriguing Newton–Raphson basins of convergence (N-R BoC) within the concentric Sitnikov model, all subject to the influence of radiation pressure. Remarkably, our investigation uncovers the presence of three equilibrium points, each exhibiting linear instability across the entire spectrum of mass parameter values <span><math><mrow><msup><mrow><mi>μ</mi></mrow><mrow><mo>∗</mo></mrow></msup><mo>∈</mo><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>.</mo><mn>25</mn><mo>)</mo></mrow></mrow></math></span>. To visually comprehend the character of these celestial paths, we employ a graphical analysis technique known as the first return map. Varied values of the mass parameter <span><math><msup><mrow><mi>μ</mi></mrow><mrow><mo>∗</mo></mrow></msup></math></span> lead to the generation of diverse families of periodic orbits encircling both the primary celestial bodies and their equilibrium positions. Lastly, we embark on an exploration of the intricacies of the N-R BoC, intimately connected with the equilibrium points within this proposed celestial model.</p></div>","PeriodicalId":48757,"journal":{"name":"Astronomy and Computing","volume":null,"pages":null},"PeriodicalIF":1.9000,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The photo-gravitational concentric Sitnikov problem\",\"authors\":\"M. Javed Idrisi , M. Shahbaz Ullah\",\"doi\":\"10.1016/j.ascom.2023.100764\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The current framework involves a configuration of two pairs of primary celestial bodies engaged in synchronized circular orbits around a central point of mass. Additionally, an infinitesimal mass is positioned along the <span><math><mi>z</mi></math></span>-axis, traversing through the system’s center of mass. This distinctive celestial scenario is designated as the <em>Concentric Sitnikov Problem</em>. Notably, it is postulated that the initial pair of primary bodies emit radiation, while the latter pair remains radiation-free. Within the scope of this study, we delve into an exploration of equilibrium points, periodic orbits, and the intriguing Newton–Raphson basins of convergence (N-R BoC) within the concentric Sitnikov model, all subject to the influence of radiation pressure. Remarkably, our investigation uncovers the presence of three equilibrium points, each exhibiting linear instability across the entire spectrum of mass parameter values <span><math><mrow><msup><mrow><mi>μ</mi></mrow><mrow><mo>∗</mo></mrow></msup><mo>∈</mo><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>.</mo><mn>25</mn><mo>)</mo></mrow></mrow></math></span>. To visually comprehend the character of these celestial paths, we employ a graphical analysis technique known as the first return map. Varied values of the mass parameter <span><math><msup><mrow><mi>μ</mi></mrow><mrow><mo>∗</mo></mrow></msup></math></span> lead to the generation of diverse families of periodic orbits encircling both the primary celestial bodies and their equilibrium positions. Lastly, we embark on an exploration of the intricacies of the N-R BoC, intimately connected with the equilibrium points within this proposed celestial model.</p></div>\",\"PeriodicalId\":48757,\"journal\":{\"name\":\"Astronomy and Computing\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.9000,\"publicationDate\":\"2023-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Astronomy and Computing\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2213133723000793\",\"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":"Astronomy and Computing","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2213133723000793","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}
The photo-gravitational concentric Sitnikov problem
The current framework involves a configuration of two pairs of primary celestial bodies engaged in synchronized circular orbits around a central point of mass. Additionally, an infinitesimal mass is positioned along the -axis, traversing through the system’s center of mass. This distinctive celestial scenario is designated as the Concentric Sitnikov Problem. Notably, it is postulated that the initial pair of primary bodies emit radiation, while the latter pair remains radiation-free. Within the scope of this study, we delve into an exploration of equilibrium points, periodic orbits, and the intriguing Newton–Raphson basins of convergence (N-R BoC) within the concentric Sitnikov model, all subject to the influence of radiation pressure. Remarkably, our investigation uncovers the presence of three equilibrium points, each exhibiting linear instability across the entire spectrum of mass parameter values . To visually comprehend the character of these celestial paths, we employ a graphical analysis technique known as the first return map. Varied values of the mass parameter lead to the generation of diverse families of periodic orbits encircling both the primary celestial bodies and their equilibrium positions. Lastly, we embark on an exploration of the intricacies of the N-R BoC, intimately connected with the equilibrium points within this proposed celestial model.
Astronomy and ComputingASTRONOMY & ASTROPHYSICSCOMPUTER SCIENCE,-COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
CiteScore
4.10
自引率
8.00%
发文量
67
期刊介绍:
Astronomy and Computing is a peer-reviewed journal that focuses on the broad area between astronomy, computer science and information technology. The journal aims to publish the work of scientists and (software) engineers in all aspects of astronomical computing, including the collection, analysis, reduction, visualisation, preservation and dissemination of data, and the development of astronomical software and simulations. The journal covers applications for academic computer science techniques to astronomy, as well as novel applications of information technologies within astronomy.