Publicação
The effects of deformation inertia (kinetic energy) in the orbital and spin evolution of close-in bodies
| Resumo: | The purpose of this work is to evaluate the effect of deformation inertia on tide dynamics, particularly within the context of the tide response equations proposed independently by Boué et al. (Celest Mech Dyn Astron 126:31–60, 2016) and Ragazzo and Ruiz (Celest Mech Dyn Astron 128(1):19–59, 2017). The singular limit as the inertia tends to zero is analyzed, and equations for the small inertia regime are proposed. The analysis of Love numbers shows that, independently of the rheology, deformation inertia can be neglected if the tide-forcing frequency is much smaller than the frequency of small oscillations of an ideal body made of a perfect (inviscid) fluid with the same inertial and gravitational properties of the original body. Finally, numerical integration of the full set of equations, which couples tide, spin and orbit, is used to evaluate the effect of inertia on the overall motion. The results are consistent with those obtained from the Love number analysis. The conclusion is that, from the point of view of orbital evolution of celestial bodies, deformation inertia can be safely neglected. (Exceptions may occur when a higher-order harmonic of the tide forcing has a high amplitude.) |
|---|---|
| Autores principais: | Correia, A. C. M. |
| Outros Autores: | Ragazzo, C.; Ruiz, L. S. |
| Assunto: | Tides Dissipative forces Deformation inertia Planetary systems |
| Ano: | 2018 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade de Aveiro |
| Idioma: | inglês |
| Origem: | RIA - Repositório Institucional da Universidade de Aveiro |
| _version_ | 1877768985959727104 |
|---|---|
| author | Correia, A. C. M. |
| author2 | Ragazzo, C. Ruiz, L. S. |
| author2_role | author author |
| author_facet | Correia, A. C. M. Ragazzo, C. Ruiz, L. S. |
| author_role | author |
| country_str | PT |
| creators_json_txt | [{\"Person.name\":\"Correia, A. C. M.\"},{\"Person.name\":\"Ragazzo, C.\"},{\"Person.name\":\"Ruiz, L. S.\"}] |
| datacite.creators.creator.creatorName.fl_str_mv | Correia, A. C. M. Ragazzo, C. Ruiz, L. S. |
| datacite.date.Accepted.fl_str_mv | 2018-07-01T00:00:00Z |
| datacite.date.available.fl_str_mv | 2025-06-13T10:44:52Z |
| datacite.date.embargoed.fl_str_mv | 2025-06-13T10:44:52Z |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| datacite.subjects.subject.fl_str_mv | Tides Dissipative forces Deformation inertia Planetary systems |
| datacite.titles.title.fl_str_mv | The effects of deformation inertia (kinetic energy) in the orbital and spin evolution of close-in bodies |
| dc.creator.none.fl_str_mv | Correia, A. C. M. Ragazzo, C. Ruiz, L. S. |
| dc.date.Accepted.fl_str_mv | 2018-07-01T00:00:00Z |
| dc.date.available.fl_str_mv | 2025-06-13T10:44:52Z |
| dc.date.embargoed.fl_str_mv | 2025-06-13T10:44:52Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | http://hdl.handle.net/10773/25063 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | Springer Verlag |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| dc.subject.none.fl_str_mv | Tides Dissipative forces Deformation inertia Planetary systems |
| dc.title.fl_str_mv | The effects of deformation inertia (kinetic energy) in the orbital and spin evolution of close-in bodies |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_6501 |
| description | The purpose of this work is to evaluate the effect of deformation inertia on tide dynamics, particularly within the context of the tide response equations proposed independently by Boué et al. (Celest Mech Dyn Astron 126:31–60, 2016) and Ragazzo and Ruiz (Celest Mech Dyn Astron 128(1):19–59, 2017). The singular limit as the inertia tends to zero is analyzed, and equations for the small inertia regime are proposed. The analysis of Love numbers shows that, independently of the rheology, deformation inertia can be neglected if the tide-forcing frequency is much smaller than the frequency of small oscillations of an ideal body made of a perfect (inviscid) fluid with the same inertial and gravitational properties of the original body. Finally, numerical integration of the full set of equations, which couples tide, spin and orbit, is used to evaluate the effect of inertia on the overall motion. The results are consistent with those obtained from the Love number analysis. The conclusion is that, from the point of view of orbital evolution of celestial bodies, deformation inertia can be safely neglected. (Exceptions may occur when a higher-order harmonic of the tide forcing has a high amplitude.) |
| dirty | 0 |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ria_e7ae9731395364c24219ba5b0685a58f |
| identifier.url.fl_str_mv | http://hdl.handle.net/10773/25063 |
| inst_facet_str | urn:organizationAcronym:ua{{{_:::_}}}Universidade de Aveiro |
| instacron_str | ua |
| institution | Universidade de Aveiro |
| instname_str | Universidade de Aveiro |
| language | eng |
| network_acronym_str | ria |
| network_name_str | RIA - Repositório Institucional da Universidade de Aveiro |
| oai_identifier_str | oai:ria.ua.pt:10773/25063 |
| organization_str_mv | urn:organizationAcronym:ua |
| person_str_mv | Correia, A. C. M. Ragazzo, C. Ruiz, L. S. |
| publishDate | 2018 |
| publisher.none.fl_str_mv | Springer Verlag |
| repo_facet_str | urn:repositoryAcronym:ria{{{_:::_}}}RIA - Repositório Institucional da Universidade de Aveiro |
| reponame_str | RIA - Repositório Institucional da Universidade de Aveiro |
| repository_id_str | urn:repositoryAcronym:ria |
| service_str_mv | urn:repositoryAcronym:ria |
| spelling | pt_PTThe purpose of this work is to evaluate the effect of deformation inertia on tide dynamics, particularly within the context of the tide response equations proposed independently by Boué et al. (Celest Mech Dyn Astron 126:31–60, 2016) and Ragazzo and Ruiz (Celest Mech Dyn Astron 128(1):19–59, 2017). The singular limit as the inertia tends to zero is analyzed, and equations for the small inertia regime are proposed. The analysis of Love numbers shows that, independently of the rheology, deformation inertia can be neglected if the tide-forcing frequency is much smaller than the frequency of small oscillations of an ideal body made of a perfect (inviscid) fluid with the same inertial and gravitational properties of the original body. Finally, numerical integration of the full set of equations, which couples tide, spin and orbit, is used to evaluate the effect of inertia on the overall motion. The results are consistent with those obtained from the Love number analysis. The conclusion is that, from the point of view of orbital evolution of celestial bodies, deformation inertia can be safely neglected. (Exceptions may occur when a higher-order harmonic of the tide forcing has a high amplitude.)application/pdfengSpringer Verlagpt_PTThe effects of deformation inertia (kinetic energy) in the orbital and spin evolution of close-in bodiesCorreia, A. C. M.Ragazzo, C.Ruiz, L. S.Handlehttp://hdl.handle.net/10773/25063ISSNIsPartOf0923-2958DOIIsPartOf10.1007/s10569-018-9847-32025-06-13T10:44:52Z2018-07-01T00:00:00Z2018-07http://purl.org/coar/access_right/c_abf2open accesspt_PTTidespt_PTDissipative forcespt_PTDeformation inertiapt_PTPlanetary systems1633220 byteshttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://ria.ua.pt/bitstream/10773/25063/1/Paper_inertia.pdfliteraturehttp://purl.org/coar/resource_type/c_6501journal article |
| spellingShingle | The effects of deformation inertia (kinetic energy) in the orbital and spin evolution of close-in bodies Correia, A. C. M. Tides Dissipative forces Deformation inertia Planetary systems |
| status | SINGLETON |
| subject.fl_str_mv | Tides Dissipative forces Deformation inertia Planetary systems |
| title | The effects of deformation inertia (kinetic energy) in the orbital and spin evolution of close-in bodies |
| title_full | The effects of deformation inertia (kinetic energy) in the orbital and spin evolution of close-in bodies |
| title_fullStr | The effects of deformation inertia (kinetic energy) in the orbital and spin evolution of close-in bodies |
| title_full_unstemmed | The effects of deformation inertia (kinetic energy) in the orbital and spin evolution of close-in bodies |
| title_short | The effects of deformation inertia (kinetic energy) in the orbital and spin evolution of close-in bodies |
| title_sort | The effects of deformation inertia (kinetic energy) in the orbital and spin evolution of close-in bodies |
| topic | Tides Dissipative forces Deformation inertia Planetary systems |
| topic_facet | Tides Dissipative forces Deformation inertia Planetary systems |
| url | http://hdl.handle.net/10773/25063 |
| visible | 1 |
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