The disturbing function for polar Centaurs and transneptunian objects

Detalhes bibliográficos
Autor(a) principal: Namouni, F.
Data de Publicação: 2017
Outros Autores: Morais, M. H.M. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1093/mnras/stx1714
http://hdl.handle.net/11449/170647
Resumo: The classical disturbing function of the three-body problem is based on an expansion of the gravitational interaction in the vicinity of nearly coplanar orbits. Consequently, it is not suitable for the identification and study of resonances of the Centaurs and transneptunian objects on nearly polar orbits with the Solar system planets. Here, we provide a series expansion algorithm of the gravitational interaction in the vicinity of polar orbits and produce explicitly the disturbing function to fourth order in eccentricity and inclination cosine. The properties of the polar series differ significantly from those of the classical disturbing function: the polar series can model any resonance, as the expansion order is not related to the resonance order. The powers of eccentricity and inclination of the force amplitude of a p:q resonance do not depend on the value of the resonance order |p - q| but only on its parity. Thus, all even resonance order eccentricity amplitudes are ∝e2 and odd ones ∝e to lowest order in eccentricity e. With the new findings on the structure of the polar disturbing function and the possible resonant critical arguments, we illustrate the dynamics of the polar resonances 1:3, 3:1, 2:9 and 7:9 where transneptunian object 471325 could currently be locked.
id UNSP_a696b8cf75df469953921493d0633459
oai_identifier_str oai:repositorio.unesp.br:11449/170647
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling The disturbing function for polar Centaurs and transneptunian objectsAsteroids: generalCelestial mechanicsComets: general -Kuiper belt: generalMinor planetsOort CloudThe classical disturbing function of the three-body problem is based on an expansion of the gravitational interaction in the vicinity of nearly coplanar orbits. Consequently, it is not suitable for the identification and study of resonances of the Centaurs and transneptunian objects on nearly polar orbits with the Solar system planets. Here, we provide a series expansion algorithm of the gravitational interaction in the vicinity of polar orbits and produce explicitly the disturbing function to fourth order in eccentricity and inclination cosine. The properties of the polar series differ significantly from those of the classical disturbing function: the polar series can model any resonance, as the expansion order is not related to the resonance order. The powers of eccentricity and inclination of the force amplitude of a p:q resonance do not depend on the value of the resonance order |p - q| but only on its parity. Thus, all even resonance order eccentricity amplitudes are ∝e2 and odd ones ∝e to lowest order in eccentricity e. With the new findings on the structure of the polar disturbing function and the possible resonant critical arguments, we illustrate the dynamics of the polar resonances 1:3, 3:1, 2:9 and 7:9 where transneptunian object 471325 could currently be locked.Université Côte d'Azur CNRS Observatoire de la Côte d'Azur CS 34229Universidade Estadual Paulista (UNESP) Instituto de Geociências e Ciências Exatas, Av. 24-A, 1515Universidade Estadual Paulista (UNESP) Instituto de Geociências e Ciências Exatas, Av. 24-A, 1515CS 34229Universidade Estadual Paulista (Unesp)Namouni, F.Morais, M. H.M. [UNESP]2018-12-11T16:51:50Z2018-12-11T16:51:50Z2017-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article2097-2110application/pdfhttp://dx.doi.org/10.1093/mnras/stx1714Monthly Notices of the Royal Astronomical Society, v. 471, n. 2, p. 2097-2110, 2017.1365-29660035-8711http://hdl.handle.net/11449/17064710.1093/mnras/stx17142-s2.0-850417620502-s2.0-85041762050.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMonthly Notices of the Royal Astronomical Society2,3462,346info:eu-repo/semantics/openAccess2023-12-15T06:16:44Zoai:repositorio.unesp.br:11449/170647Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:23:38.322274Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv The disturbing function for polar Centaurs and transneptunian objects
title The disturbing function for polar Centaurs and transneptunian objects
spellingShingle The disturbing function for polar Centaurs and transneptunian objects
Namouni, F.
Asteroids: general
Celestial mechanics
Comets: general -Kuiper belt: general
Minor planets
Oort Cloud
title_short The disturbing function for polar Centaurs and transneptunian objects
title_full The disturbing function for polar Centaurs and transneptunian objects
title_fullStr The disturbing function for polar Centaurs and transneptunian objects
title_full_unstemmed The disturbing function for polar Centaurs and transneptunian objects
title_sort The disturbing function for polar Centaurs and transneptunian objects
author Namouni, F.
author_facet Namouni, F.
Morais, M. H.M. [UNESP]
author_role author
author2 Morais, M. H.M. [UNESP]
author2_role author
dc.contributor.none.fl_str_mv CS 34229
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Namouni, F.
Morais, M. H.M. [UNESP]
dc.subject.por.fl_str_mv Asteroids: general
Celestial mechanics
Comets: general -Kuiper belt: general
Minor planets
Oort Cloud
topic Asteroids: general
Celestial mechanics
Comets: general -Kuiper belt: general
Minor planets
Oort Cloud
description The classical disturbing function of the three-body problem is based on an expansion of the gravitational interaction in the vicinity of nearly coplanar orbits. Consequently, it is not suitable for the identification and study of resonances of the Centaurs and transneptunian objects on nearly polar orbits with the Solar system planets. Here, we provide a series expansion algorithm of the gravitational interaction in the vicinity of polar orbits and produce explicitly the disturbing function to fourth order in eccentricity and inclination cosine. The properties of the polar series differ significantly from those of the classical disturbing function: the polar series can model any resonance, as the expansion order is not related to the resonance order. The powers of eccentricity and inclination of the force amplitude of a p:q resonance do not depend on the value of the resonance order |p - q| but only on its parity. Thus, all even resonance order eccentricity amplitudes are ∝e2 and odd ones ∝e to lowest order in eccentricity e. With the new findings on the structure of the polar disturbing function and the possible resonant critical arguments, we illustrate the dynamics of the polar resonances 1:3, 3:1, 2:9 and 7:9 where transneptunian object 471325 could currently be locked.
publishDate 2017
dc.date.none.fl_str_mv 2017-01-01
2018-12-11T16:51:50Z
2018-12-11T16:51:50Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1093/mnras/stx1714
Monthly Notices of the Royal Astronomical Society, v. 471, n. 2, p. 2097-2110, 2017.
1365-2966
0035-8711
http://hdl.handle.net/11449/170647
10.1093/mnras/stx1714
2-s2.0-85041762050
2-s2.0-85041762050.pdf
url http://dx.doi.org/10.1093/mnras/stx1714
http://hdl.handle.net/11449/170647
identifier_str_mv Monthly Notices of the Royal Astronomical Society, v. 471, n. 2, p. 2097-2110, 2017.
1365-2966
0035-8711
10.1093/mnras/stx1714
2-s2.0-85041762050
2-s2.0-85041762050.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Monthly Notices of the Royal Astronomical Society
2,346
2,346
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 2097-2110
application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129196456673280