Secular evolution of resonant small bodies: semi-analytical approach for arbitrary eccentricities in the coplanar case
Resumen:
We study the secular evolution of a particle in deep mean motion resonance (MMR) with a planet in the planar elliptic restricted three body problem. We do not consider any restriction neither in the planet’s eccentricity ep nor in the particle’s eccentricity e. The methodology used is based on a semi-analytical model that consists on calculating the averaged resonant disturbing function numerically, assuming for this that in the resonant scale of time all the orbital elements of the particle are constant. In order to obtain the secular evolution inside the MMR, we make use of the adiabatic invariance principle, assuming a zero-amplitude resonant libration. We construct two-dimensional surfaces (called H surfaces) in the three-dimensional space (σ , e, ) that allow us to predict the secular evolution of these three variables. The 2:1 MMR is used as example to show some results. We found four apsidal corotation resonance (ACR) families, two symmetric and two asymmetric. One of the symmetric families exists for almost any ep value. The other one for ep > 0.3 and the asymmetric ones for ep > 0.44. We corroborate the secular variations in e and predicted by the model through numerical integrations even when the initial conditions are displaced from those ACR. Some peculiar examples are presented for the 3:1 and 3:2 MMR showing large excursions in eccentricity. As an application, the Planet 9 is investigated as a possible responsible of high eccentric distant TNOs.
2022 | |
ANII y PEDECIBA | |
Methods: numerical Celestial mechanics Planets and satellites: dynamical evolution and stability |
|
Inglés | |
Universidad de la República | |
COLIBRI | |
https://hdl.handle.net/20.500.12008/39677 | |
Acceso abierto | |
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
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---|---|
author | Pons Vuolo, Juan Andrés |
author2 | Gallardo, Tabaré |
author2_role | author |
author_facet | Pons Vuolo, Juan Andrés Gallardo, Tabaré |
author_role | author |
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collection | COLIBRI |
dc.contributor.filiacion.none.fl_str_mv | Pons Vuolo Juan Andrés, Universidad de la República (Uruguay). Facultad de Ciencias. Instituto de Física. Gallardo Tabaré, Universidad de la República (Uruguay). Facultad de Ciencias. Instituto de Física. |
dc.creator.none.fl_str_mv | Pons Vuolo, Juan Andrés Gallardo, Tabaré |
dc.date.accessioned.none.fl_str_mv | 2023-08-24T12:09:01Z |
dc.date.available.none.fl_str_mv | 2023-08-24T12:09:01Z |
dc.date.issued.none.fl_str_mv | 2022 |
dc.description.abstract.none.fl_txt_mv | We study the secular evolution of a particle in deep mean motion resonance (MMR) with a planet in the planar elliptic restricted three body problem. We do not consider any restriction neither in the planet’s eccentricity ep nor in the particle’s eccentricity e. The methodology used is based on a semi-analytical model that consists on calculating the averaged resonant disturbing function numerically, assuming for this that in the resonant scale of time all the orbital elements of the particle are constant. In order to obtain the secular evolution inside the MMR, we make use of the adiabatic invariance principle, assuming a zero-amplitude resonant libration. We construct two-dimensional surfaces (called H surfaces) in the three-dimensional space (σ , e, ) that allow us to predict the secular evolution of these three variables. The 2:1 MMR is used as example to show some results. We found four apsidal corotation resonance (ACR) families, two symmetric and two asymmetric. One of the symmetric families exists for almost any ep value. The other one for ep > 0.3 and the asymmetric ones for ep > 0.44. We corroborate the secular variations in e and predicted by the model through numerical integrations even when the initial conditions are displaced from those ACR. Some peculiar examples are presented for the 3:1 and 3:2 MMR showing large excursions in eccentricity. As an application, the Planet 9 is investigated as a possible responsible of high eccentric distant TNOs. |
dc.description.sponsorship.none.fl_txt_mv | ANII y PEDECIBA |
dc.format.extent.es.fl_str_mv | 14 h. |
dc.format.mimetype.es.fl_str_mv | application/pdf |
dc.identifier.citation.es.fl_str_mv | Pons Vuolo, J y Gallardo, T. "Secular evolution of resonant small bodies: semi-analytical approach for arbitrary eccentricities in the coplanar case". Monthly Notices of the Royal Astronomical Society. [en línea] 2022, 511(1): 1153–1166. 14 h. DOI: 10.1093/mnras/stac018 |
dc.identifier.doi.none.fl_str_mv | 10.1093/mnras/stac018 |
dc.identifier.issn.none.fl_str_mv | 1745-3933 |
dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/39677 |
dc.language.iso.none.fl_str_mv | en_US eng |
dc.publisher.es.fl_str_mv | Oxford University Press |
dc.relation.ispartof.es.fl_str_mv | Monthly Notices of the Royal Astronomical Society, 2022, 511(1): 1153–1166. |
dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
dc.source.none.fl_str_mv | reponame:COLIBRI instname:Universidad de la República instacron:Universidad de la República |
dc.subject.es.fl_str_mv | Methods: numerical Celestial mechanics Planets and satellites: dynamical evolution and stability |
dc.title.none.fl_str_mv | Secular evolution of resonant small bodies: semi-analytical approach for arbitrary eccentricities in the coplanar case |
dc.type.es.fl_str_mv | Artículo |
dc.type.none.fl_str_mv | info:eu-repo/semantics/article |
dc.type.version.none.fl_str_mv | info:eu-repo/semantics/publishedVersion |
description | We study the secular evolution of a particle in deep mean motion resonance (MMR) with a planet in the planar elliptic restricted three body problem. We do not consider any restriction neither in the planet’s eccentricity ep nor in the particle’s eccentricity e. The methodology used is based on a semi-analytical model that consists on calculating the averaged resonant disturbing function numerically, assuming for this that in the resonant scale of time all the orbital elements of the particle are constant. In order to obtain the secular evolution inside the MMR, we make use of the adiabatic invariance principle, assuming a zero-amplitude resonant libration. We construct two-dimensional surfaces (called H surfaces) in the three-dimensional space (σ , e, ) that allow us to predict the secular evolution of these three variables. The 2:1 MMR is used as example to show some results. We found four apsidal corotation resonance (ACR) families, two symmetric and two asymmetric. One of the symmetric families exists for almost any ep value. The other one for ep > 0.3 and the asymmetric ones for ep > 0.44. We corroborate the secular variations in e and predicted by the model through numerical integrations even when the initial conditions are displaced from those ACR. Some peculiar examples are presented for the 3:1 and 3:2 MMR showing large excursions in eccentricity. As an application, the Planet 9 is investigated as a possible responsible of high eccentric distant TNOs. |
eu_rights_str_mv | openAccess |
format | article |
id | COLIBRI_ffe9a4c10a387ba95ab0e9b5ae3040f9 |
identifier_str_mv | Pons Vuolo, J y Gallardo, T. "Secular evolution of resonant small bodies: semi-analytical approach for arbitrary eccentricities in the coplanar case". Monthly Notices of the Royal Astronomical Society. [en línea] 2022, 511(1): 1153–1166. 14 h. DOI: 10.1093/mnras/stac018 1745-3933 10.1093/mnras/stac018 |
instacron_str | Universidad de la República |
institution | Universidad de la República |
instname_str | Universidad de la República |
language | eng |
language_invalid_str_mv | en_US |
network_acronym_str | COLIBRI |
network_name_str | COLIBRI |
oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/39677 |
publishDate | 2022 |
reponame_str | COLIBRI |
repository.mail.fl_str_mv | mabel.seroubian@seciu.edu.uy |
repository.name.fl_str_mv | COLIBRI - Universidad de la República |
repository_id_str | 4771 |
rights_invalid_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
spelling | Pons Vuolo Juan Andrés, Universidad de la República (Uruguay). Facultad de Ciencias. Instituto de Física.Gallardo Tabaré, Universidad de la República (Uruguay). Facultad de Ciencias. Instituto de Física.2023-08-24T12:09:01Z2023-08-24T12:09:01Z2022Pons Vuolo, J y Gallardo, T. "Secular evolution of resonant small bodies: semi-analytical approach for arbitrary eccentricities in the coplanar case". Monthly Notices of the Royal Astronomical Society. [en línea] 2022, 511(1): 1153–1166. 14 h. DOI: 10.1093/mnras/stac0181745-3933https://hdl.handle.net/20.500.12008/3967710.1093/mnras/stac018We study the secular evolution of a particle in deep mean motion resonance (MMR) with a planet in the planar elliptic restricted three body problem. We do not consider any restriction neither in the planet’s eccentricity ep nor in the particle’s eccentricity e. The methodology used is based on a semi-analytical model that consists on calculating the averaged resonant disturbing function numerically, assuming for this that in the resonant scale of time all the orbital elements of the particle are constant. In order to obtain the secular evolution inside the MMR, we make use of the adiabatic invariance principle, assuming a zero-amplitude resonant libration. We construct two-dimensional surfaces (called H surfaces) in the three-dimensional space (σ , e, ) that allow us to predict the secular evolution of these three variables. The 2:1 MMR is used as example to show some results. We found four apsidal corotation resonance (ACR) families, two symmetric and two asymmetric. One of the symmetric families exists for almost any ep value. The other one for ep > 0.3 and the asymmetric ones for ep > 0.44. We corroborate the secular variations in e and predicted by the model through numerical integrations even when the initial conditions are displaced from those ACR. Some peculiar examples are presented for the 3:1 and 3:2 MMR showing large excursions in eccentricity. As an application, the Planet 9 is investigated as a possible responsible of high eccentric distant TNOs.Submitted by Farías Verónica (vfarias@fcien.edu.uy) on 2023-08-23T14:03:47Z No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 101093mnrasstac018.pdf: 3521072 bytes, checksum: 084b91e169e2135862d8c009b9aeea7e (MD5)Approved for entry into archive by Faget Cecilia (lfaget@fcien.edu.uy) on 2023-08-23T14:06:19Z (GMT) No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 101093mnrasstac018.pdf: 3521072 bytes, checksum: 084b91e169e2135862d8c009b9aeea7e (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2023-08-24T12:09:01Z (GMT). No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 101093mnrasstac018.pdf: 3521072 bytes, checksum: 084b91e169e2135862d8c009b9aeea7e (MD5) Previous issue date: 2022ANII y PEDECIBA14 h.application/pdfen_USengOxford University PressMonthly Notices of the Royal Astronomical Society, 2022, 511(1): 1153–1166.Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)Methods: numericalCelestial mechanicsPlanets and satellites: dynamical evolution and stabilitySecular evolution of resonant small bodies: semi-analytical approach for arbitrary eccentricities in the coplanar caseArtículoinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaPons Vuolo, Juan AndrésGallardo, TabaréLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/39677/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/39677/2/license_urla006180e3f5b2ad0b88185d14284c0e0MD52license_textlicense_texttext/html; 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- Universidad de la Repúblicafalse |
spellingShingle | Secular evolution of resonant small bodies: semi-analytical approach for arbitrary eccentricities in the coplanar case Pons Vuolo, Juan Andrés Methods: numerical Celestial mechanics Planets and satellites: dynamical evolution and stability |
status_str | publishedVersion |
title | Secular evolution of resonant small bodies: semi-analytical approach for arbitrary eccentricities in the coplanar case |
title_full | Secular evolution of resonant small bodies: semi-analytical approach for arbitrary eccentricities in the coplanar case |
title_fullStr | Secular evolution of resonant small bodies: semi-analytical approach for arbitrary eccentricities in the coplanar case |
title_full_unstemmed | Secular evolution of resonant small bodies: semi-analytical approach for arbitrary eccentricities in the coplanar case |
title_short | Secular evolution of resonant small bodies: semi-analytical approach for arbitrary eccentricities in the coplanar case |
title_sort | Secular evolution of resonant small bodies: semi-analytical approach for arbitrary eccentricities in the coplanar case |
topic | Methods: numerical Celestial mechanics Planets and satellites: dynamical evolution and stability |
url | https://hdl.handle.net/20.500.12008/39677 |