Orbital perturbations using geopotential coefficients up to high degree and order: Highly eccentric orbits
Autor(a) principal: | |
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Data de Publicação: | 1998 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://hdl.handle.net/11449/224428 |
Resumo: | Several methods have been proposed for calculations of the eccentricity function for a high value of the eccentricity, however they cannot be used when the high degree and order coefficients of gravity fields are taken into account. The method proposed by Wnuk1 is numerically stable in this case, but when is used, a large number of terms occurs in formulas for geopotential perturbations. In this paper we propose an application of expansions of some functions of the eccentric anomaly E as well as Hansen coefficients in power series of (e - e*), where e* is a fixed value of the eccentricity derived by Da Silva Fernandes2,3,4. These series are convergent for all e < 1. |
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Orbital perturbations using geopotential coefficients up to high degree and order: Highly eccentric orbitsSeveral methods have been proposed for calculations of the eccentricity function for a high value of the eccentricity, however they cannot be used when the high degree and order coefficients of gravity fields are taken into account. The method proposed by Wnuk1 is numerically stable in this case, but when is used, a large number of terms occurs in formulas for geopotential perturbations. In this paper we propose an application of expansions of some functions of the eccentric anomaly E as well as Hansen coefficients in power series of (e - e*), where e* is a fixed value of the eccentricity derived by Da Silva Fernandes2,3,4. These series are convergent for all e < 1.Grupo Dinemica Orbital Planetologia DMA-FEG-UNESP, 12500-000, Guaratinguetá, SPAstronomical Observatory Adam Mickiewicz University, ul. Sloneczna 36, 60-286 PoznanGrupo Dinemica Orbital Planetologia DMA-FEG-UNESP, 12500-000, Guaratinguetá, SPUniversidade Estadual Paulista (UNESP)Adam Mickiewicz UniversityDe Moraes, Rodolpho Vilhena [UNESP]Wnuk, Edwin2022-04-28T19:56:30Z2022-04-28T19:56:30Z1998-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article227-238Advances in the Astronautical Sciences, v. 100, n. 1, p. 227-238, 1998.0065-3438http://hdl.handle.net/11449/2244282-s2.0-0346877290Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengAdvances in the Astronautical Sciencesinfo:eu-repo/semantics/openAccess2024-07-02T14:29:30Zoai:repositorio.unesp.br:11449/224428Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-07-02T14:29:30Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Orbital perturbations using geopotential coefficients up to high degree and order: Highly eccentric orbits |
title |
Orbital perturbations using geopotential coefficients up to high degree and order: Highly eccentric orbits |
spellingShingle |
Orbital perturbations using geopotential coefficients up to high degree and order: Highly eccentric orbits De Moraes, Rodolpho Vilhena [UNESP] |
title_short |
Orbital perturbations using geopotential coefficients up to high degree and order: Highly eccentric orbits |
title_full |
Orbital perturbations using geopotential coefficients up to high degree and order: Highly eccentric orbits |
title_fullStr |
Orbital perturbations using geopotential coefficients up to high degree and order: Highly eccentric orbits |
title_full_unstemmed |
Orbital perturbations using geopotential coefficients up to high degree and order: Highly eccentric orbits |
title_sort |
Orbital perturbations using geopotential coefficients up to high degree and order: Highly eccentric orbits |
author |
De Moraes, Rodolpho Vilhena [UNESP] |
author_facet |
De Moraes, Rodolpho Vilhena [UNESP] Wnuk, Edwin |
author_role |
author |
author2 |
Wnuk, Edwin |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Adam Mickiewicz University |
dc.contributor.author.fl_str_mv |
De Moraes, Rodolpho Vilhena [UNESP] Wnuk, Edwin |
description |
Several methods have been proposed for calculations of the eccentricity function for a high value of the eccentricity, however they cannot be used when the high degree and order coefficients of gravity fields are taken into account. The method proposed by Wnuk1 is numerically stable in this case, but when is used, a large number of terms occurs in formulas for geopotential perturbations. In this paper we propose an application of expansions of some functions of the eccentric anomaly E as well as Hansen coefficients in power series of (e - e*), where e* is a fixed value of the eccentricity derived by Da Silva Fernandes2,3,4. These series are convergent for all e < 1. |
publishDate |
1998 |
dc.date.none.fl_str_mv |
1998-12-01 2022-04-28T19:56:30Z 2022-04-28T19:56:30Z |
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 |
Advances in the Astronautical Sciences, v. 100, n. 1, p. 227-238, 1998. 0065-3438 http://hdl.handle.net/11449/224428 2-s2.0-0346877290 |
identifier_str_mv |
Advances in the Astronautical Sciences, v. 100, n. 1, p. 227-238, 1998. 0065-3438 2-s2.0-0346877290 |
url |
http://hdl.handle.net/11449/224428 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Advances in the Astronautical Sciences |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
227-238 |
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_ |
1803650095779938304 |