Orbit analysis of a geostationary gravitational wave interferometer detector array
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , , , |
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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Repositório Institucional da UNESP |
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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 |