{"title":"Periodic orbits and capture in the retrograde coorbital resonance with Neptune","authors":"M. H. M. Morais, M. J. Fassis, A. C. Signor","doi":"10.1007/s10509-025-04413-y","DOIUrl":null,"url":null,"abstract":"<div><p>We compute the families of periodic orbits for the retrograde coorbital (1/-1) resonance at Neptune to Sun mass ratio, in the planar circular restricted three-body problem (CR3BP), and their bifurcations into three-dimensional families. We show that when a small body slowly approaches the planet due to the action of a drag force, or when Neptune slowly migrates outward, capture of nearly coplanar retrograde orbits in the coorbital resonance follows the families of periodic orbits and occurs with <span>\\(100\\%\\)</span> probability for Trans Neptunian Objects (TNOs) with initial nearly circular orbits. We also present statistics of capture in resonance, due to Neptune’s migration, of TNOs with eccentric nearly coplanar retrograde orbits.</p></div>","PeriodicalId":8644,"journal":{"name":"Astrophysics and Space Science","volume":"370 3","pages":""},"PeriodicalIF":1.8000,"publicationDate":"2025-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Astrophysics and Space Science","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10509-025-04413-y","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
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Abstract
We compute the families of periodic orbits for the retrograde coorbital (1/-1) resonance at Neptune to Sun mass ratio, in the planar circular restricted three-body problem (CR3BP), and their bifurcations into three-dimensional families. We show that when a small body slowly approaches the planet due to the action of a drag force, or when Neptune slowly migrates outward, capture of nearly coplanar retrograde orbits in the coorbital resonance follows the families of periodic orbits and occurs with \(100\%\) probability for Trans Neptunian Objects (TNOs) with initial nearly circular orbits. We also present statistics of capture in resonance, due to Neptune’s migration, of TNOs with eccentric nearly coplanar retrograde orbits.
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Astrophysics and Space Science publishes original contributions and invited reviews covering the entire range of astronomy, astrophysics, astrophysical cosmology, planetary and space science and the astrophysical aspects of astrobiology. This includes both observational and theoretical research, the techniques of astronomical instrumentation and data analysis and astronomical space instrumentation. We particularly welcome papers in the general fields of high-energy astrophysics, astrophysical and astrochemical studies of the interstellar medium including star formation, planetary astrophysics, the formation and evolution of galaxies and the evolution of large scale structure in the Universe. Papers in mathematical physics or in general relativity which do not establish clear astrophysical applications will no longer be considered.
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