Orbit analysis of a geostationary gravitational wave interferometer detector array

Detalhes bibliográficos
Autor(a) principal: Tinto, Massimo
Data de Publicação: 2015
Outros Autores: De Araujo, Jose C. N., Kuga, Helio K., Alves, Márcio E. S. [UNESP], Aguiar, Odylio D.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
DOI: 10.1088/0264-9381/32/18/185017
Texto Completo: http://dx.doi.org/10.1088/0264-9381/32/18/185017
http://hdl.handle.net/11449/167987
Resumo: We analyze the trajectories of three geostationary satellites forming the geostationary gravitational wave interferometer (GEOGRAWI) [1], a space-based laser interferometer mission aiming to detect and study gravitational radiation in the (10-4-10) Hz band. The combined effects of the gravity fields of the Earth, the Sun and the Moon make the three satellites deviate from their nominally stationary, equatorial and equilateral configuration. Since changes in the satellites's relative distances and orientations could negatively affect the precision of the laser heterodyne measurements, we have derived the time-dependence of the inter-satellite distances and velocities, the variations of the polar angles made by the constellation's three arms with respect to a chosen reference frame and the time changes of the triangle's enclosed angles. We find that during the time between two consecutive station-keeping maneuvers (about two weeks) the relative variations of the inter-satellite distances do not exceed a value of 0.05%, while the relative velocities between pairs of satellites remain smaller than about 0.7 m s-1. In addition, we find the angles made by the arms of the triangle with the equatorial plane to be periodic functions of time whose amplitudes grow linearly with time; the maximum variations experienced by these angles as well as by those within the triangle remain smaller than 3 arc-minutes, while the east-west angular variations of the three arms remain smaller than about 15 arc-minutes during the two-week period.
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spelling Orbit analysis of a geostationary gravitational wave interferometer detector arraygeostationary satellitesgravitational wavesinterferometryWe analyze the trajectories of three geostationary satellites forming the geostationary gravitational wave interferometer (GEOGRAWI) [1], a space-based laser interferometer mission aiming to detect and study gravitational radiation in the (10-4-10) Hz band. The combined effects of the gravity fields of the Earth, the Sun and the Moon make the three satellites deviate from their nominally stationary, equatorial and equilateral configuration. Since changes in the satellites's relative distances and orientations could negatively affect the precision of the laser heterodyne measurements, we have derived the time-dependence of the inter-satellite distances and velocities, the variations of the polar angles made by the constellation's three arms with respect to a chosen reference frame and the time changes of the triangle's enclosed angles. We find that during the time between two consecutive station-keeping maneuvers (about two weeks) the relative variations of the inter-satellite distances do not exceed a value of 0.05%, while the relative velocities between pairs of satellites remain smaller than about 0.7 m s-1. In addition, we find the angles made by the arms of the triangle with the equatorial plane to be periodic functions of time whose amplitudes grow linearly with time; the maximum variations experienced by these angles as well as by those within the triangle remain smaller than 3 arc-minutes, while the east-west angular variations of the three arms remain smaller than about 15 arc-minutes during the two-week period.Jet Propulsion Laboratory California Institute of TechnologyInstituto Nacional de Pesquisas EspaciaisInstituto de Ciência e Tecnologia UNESP - Univ. Estadual PaulistaInstituto de Ciência e Tecnologia UNESP - Univ. Estadual PaulistaCalifornia Institute of TechnologyInstituto Nacional de Pesquisas EspaciaisUniversidade Estadual Paulista (Unesp)Tinto, MassimoDe Araujo, Jose C. N.Kuga, Helio K.Alves, Márcio E. S. [UNESP]Aguiar, Odylio D.2018-12-11T16:39:08Z2018-12-11T16:39:08Z2015-09-24info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1088/0264-9381/32/18/185017Classical and Quantum Gravity, v. 32, n. 18, 2015.1361-63820264-9381http://hdl.handle.net/11449/16798710.1088/0264-9381/32/18/1850172-s2.0-84940830934Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengClassical and Quantum Gravity1,809info:eu-repo/semantics/openAccess2023-11-25T06:13:10Zoai:repositorio.unesp.br:11449/167987Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:39:32.234387Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Orbit analysis of a geostationary gravitational wave interferometer detector array
title Orbit analysis of a geostationary gravitational wave interferometer detector array
spellingShingle Orbit analysis of a geostationary gravitational wave interferometer detector array
Orbit analysis of a geostationary gravitational wave interferometer detector array
Tinto, Massimo
geostationary satellites
gravitational waves
interferometry
Tinto, Massimo
geostationary satellites
gravitational waves
interferometry
title_short Orbit analysis of a geostationary gravitational wave interferometer detector array
title_full Orbit analysis of a geostationary gravitational wave interferometer detector array
title_fullStr Orbit analysis of a geostationary gravitational wave interferometer detector array
Orbit analysis of a geostationary gravitational wave interferometer detector array
title_full_unstemmed Orbit analysis of a geostationary gravitational wave interferometer detector array
Orbit analysis of a geostationary gravitational wave interferometer detector array
title_sort Orbit analysis of a geostationary gravitational wave interferometer detector array
author Tinto, Massimo
author_facet Tinto, Massimo
Tinto, Massimo
De Araujo, Jose C. N.
Kuga, Helio K.
Alves, Márcio E. S. [UNESP]
Aguiar, Odylio D.
De Araujo, Jose C. N.
Kuga, Helio K.
Alves, Márcio E. S. [UNESP]
Aguiar, Odylio D.
author_role author
author2 De Araujo, Jose C. N.
Kuga, Helio K.
Alves, Márcio E. S. [UNESP]
Aguiar, Odylio D.
author2_role author
author
author
author
dc.contributor.none.fl_str_mv California Institute of Technology
Instituto Nacional de Pesquisas Espaciais
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Tinto, Massimo
De Araujo, Jose C. N.
Kuga, Helio K.
Alves, Márcio E. S. [UNESP]
Aguiar, Odylio D.
dc.subject.por.fl_str_mv geostationary satellites
gravitational waves
interferometry
topic geostationary satellites
gravitational waves
interferometry
description We analyze the trajectories of three geostationary satellites forming the geostationary gravitational wave interferometer (GEOGRAWI) [1], a space-based laser interferometer mission aiming to detect and study gravitational radiation in the (10-4-10) Hz band. The combined effects of the gravity fields of the Earth, the Sun and the Moon make the three satellites deviate from their nominally stationary, equatorial and equilateral configuration. Since changes in the satellites's relative distances and orientations could negatively affect the precision of the laser heterodyne measurements, we have derived the time-dependence of the inter-satellite distances and velocities, the variations of the polar angles made by the constellation's three arms with respect to a chosen reference frame and the time changes of the triangle's enclosed angles. We find that during the time between two consecutive station-keeping maneuvers (about two weeks) the relative variations of the inter-satellite distances do not exceed a value of 0.05%, while the relative velocities between pairs of satellites remain smaller than about 0.7 m s-1. In addition, we find the angles made by the arms of the triangle with the equatorial plane to be periodic functions of time whose amplitudes grow linearly with time; the maximum variations experienced by these angles as well as by those within the triangle remain smaller than 3 arc-minutes, while the east-west angular variations of the three arms remain smaller than about 15 arc-minutes during the two-week period.
publishDate 2015
dc.date.none.fl_str_mv 2015-09-24
2018-12-11T16:39:08Z
2018-12-11T16:39:08Z
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/10.1088/0264-9381/32/18/185017
Classical and Quantum Gravity, v. 32, n. 18, 2015.
1361-6382
0264-9381
http://hdl.handle.net/11449/167987
10.1088/0264-9381/32/18/185017
2-s2.0-84940830934
url http://dx.doi.org/10.1088/0264-9381/32/18/185017
http://hdl.handle.net/11449/167987
identifier_str_mv Classical and Quantum Gravity, v. 32, n. 18, 2015.
1361-6382
0264-9381
10.1088/0264-9381/32/18/185017
2-s2.0-84940830934
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Classical and Quantum Gravity
1,809
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 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_ 1822182351219720192
dc.identifier.doi.none.fl_str_mv 10.1088/0264-9381/32/18/185017