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dc.contributor.author | Puchades Colmenero, Neus | es_ES |
dc.contributor.author | Arnau Córdoba, José Vicente | es_ES |
dc.contributor.author | Fullana Alfonso, Màrius Josep | es_ES |
dc.date.accessioned | 2022-03-10T19:04:54Z | |
dc.date.available | 2022-03-10T19:04:54Z | |
dc.date.issued | 2021-07 | es_ES |
dc.identifier.issn | 0004-640X | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/181383 | |
dc.description.abstract | [EN] Uncertainties in the satellite world lines lead to dominant positioning errors. In the present work, using the approach presented in Puchades and Sáez (Astrophys. Space Sci. 352, 307¿320, 2014), a new analysis of these errors is developed inside a great region surrounding Earth. This analysis is performed in the framework of the so-called Relativistic Positioning Systems (RPS). Schwarzschild metric is used to describe the satellite orbits corresponding to the Galileo Satellites Constellation. Those orbits are circular with the Earth as their centre. They are defined as the nominal orbits. The satellite orbits are not circular due to the perturbations they have and to achieve a more realistic description such perturbations need to be taken into account. In Puchades and Sáez (Astrophys. Space Sci. 352, 307¿320, 2014) perturbations of the nominal orbits were statistically simulated. Using the formula from Coll et al. (Class. Quantum Gravity. 27, 065013, 2010) a user location is determined with the four satellites proper times that the user receives and with the satellite world lines. This formula can be used with any satellite description, although photons need to travel in a Minkowskian space-time. For our purposes, the computation of the photon geodesics in Minkowski spacetime is sufficient as demonstrated in Puchades and Sáez (Adv. Space Res. 57, 499¿508, 2016). The difference of the user position determined with the nominal and the perturbed M.J. Fullana i Alfonso mfullana@mat.upv.es 1 Institut Interuniversitari de Matemàtica Multidisciplinària, Universitat Politècnica de València, Camí de Vera, S/N, Valencia, 46022, Spain 2 Àrea d¿Enginyeria, Florida Universitària, Carrer del Rei En Jaume I, 2, Catarroja, València, 46470, Spain 3 Departament de Matemàtica Aplicada, Universitat de València, Av. Vicent Andrés Estellés, S/N, Burjassot 46100, València, Spain satellite orbits is computed. This difference is defined as the U-error. Now we compute the perturbed orbits of the satellites considering a metric that takes into account the gravitational effects of the Earth, theMoon and the Sun and also the Earth oblateness. A study of the satellite orbits in this new metric is first introduced. Then we compute the U-errors comparing the positions given with the Schwarzschild metric and the metric introduced here. A Runge-Kutta method is used to solve the satellite geodesic equations. Some improvements in the computation of the U-errors using both metrics are introduced with respect to our previous works. Conclusions and perspectives are also presented. | es_ES |
dc.description.sponsorship | We would like to acknowledge our great debt to Professor Diego Pascual Saez Milan who was the pioneer of this research and worked in its theoretical approach. We worked together for a very long time in much of our common projects. He left us three years ago. There are no words to describe our gratitude, both for his scientific and his human teachings. We also acknowledge Dr. J.A. Morales-Lladosa for all his help. Dr. Pacome Delva should also be mentioned for the same reason. This work has been supported by the Spanish Ministerio de Ciencia, Innovacion y Universidades and the Fondo Europeo de Desarrollo Regional, Projects PID2019-109753GB-C21 and PID2019-109753GB-C22, the Generalitat Valenciana Project AICO/2020/125 and the Universitat de Valencia Special Action Project UV-INVAE19-1197312. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Springer-Verlag | es_ES |
dc.relation.ispartof | Astrophysics and Space Science | es_ES |
dc.rights | Reconocimiento (by) | es_ES |
dc.subject | Relativistic positioning systems | es_ES |
dc.subject | Methods: numerical | es_ES |
dc.subject | Reference systems | es_ES |
dc.title | Relativistic positioning: including the influence of the gravitational action of the Sun and the Moon and the Earth's oblateness on Galileo satellites | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1007/s10509-021-03973-z | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-109753GB-C21/ES/POSICIONAMIENTO RELATIVISTA Y ECUACIONES DE EINSTEIN/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/GVA//AICO%2F2020%2F125/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-109753GB-C22/ES/TEORIA DE CAMPOS Y GRAVITACION/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/UV//UV-INVAE19-1197312//Special Action Project/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.description.bibliographicCitation | Puchades Colmenero, N.; Arnau Córdoba, JV.; Fullana Alfonso, MJ. (2021). Relativistic positioning: including the influence of the gravitational action of the Sun and the Moon and the Earth's oblateness on Galileo satellites. Astrophysics and Space Science. 366(7):1-19. https://doi.org/10.1007/s10509-021-03973-z | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1007/s10509-021-03973-z | es_ES |
dc.description.upvformatpinicio | 1 | es_ES |
dc.description.upvformatpfin | 19 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 366 | es_ES |
dc.description.issue | 7 | es_ES |
dc.relation.pasarela | S\448260 | es_ES |
dc.contributor.funder | Generalitat Valenciana | es_ES |
dc.contributor.funder | Universitat de València | es_ES |
dc.contributor.funder | AGENCIA ESTATAL DE INVESTIGACION | es_ES |
dc.contributor.funder | Agencia Estatal de Investigación | es_ES |
dc.contributor.funder | European Regional Development Fund | es_ES |
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