Periodic orbits and capture in the retrograde coorbital resonance with Neptune.

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Title: Periodic orbits and capture in the retrograde coorbital resonance with Neptune.
Authors: Morais, M. H. M.1 (AUTHOR) helena.morais@unesp.br, Fassis, M. J.1 (AUTHOR) mj.fassis@unesp.br, Signor, A. C.1 (AUTHOR) alan.cefali@unesp.br
Source: Astrophysics & Space Science. Mar2025, Vol. 370 Issue 3, p1-11. 11p.
Subjects: Celestial mechanics, Planetary orbits, Three-body problem, Orbits (Astronomy), Orbital mechanics
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. [ABSTRACT FROM AUTHOR]
Copyright of Astrophysics & Space Science is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Periodic orbits and capture in the retrograde coorbital resonance with Neptune.
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  Data: <searchLink fieldCode="DE" term="%22Celestial+mechanics%22">Celestial mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Planetary+orbits%22">Planetary orbits</searchLink><br /><searchLink fieldCode="DE" term="%22Three-body+problem%22">Three-body problem</searchLink><br /><searchLink fieldCode="DE" term="%22Orbits+%28Astronomy%29%22">Orbits (Astronomy)</searchLink><br /><searchLink fieldCode="DE" term="%22Orbital+mechanics%22">Orbital mechanics</searchLink>
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  Data: 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. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Astrophysics & Space Science is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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              Text: Mar2025
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