Orbital perturbations using geopotential coefficients up to high degree and order: Highly eccentric orbits

Detalhes bibliográficos
Autor(a) principal: De Moraes, Rodolpho Vilhena [UNESP]
Data de Publicação: 1998
Outros Autores: Wnuk, Edwin
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.
id UNSP_e7f2bef29c33e7146624e98653d57410
oai_identifier_str oai:repositorio.unesp.br:11449/224428
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling 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/openAccess2022-04-28T19:56:30Zoai:repositorio.unesp.br:11449/224428Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-28T19:56:30Repositório 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_ 1803047134880071680

Registros relacionados