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@Article{TintoAraKugAlvAgu:2015:OrAnGe,
               author = "Tinto, Massimo and Ara{\'u}jo, Jos{\'e} Carlos Neves de and 
                         Kuga, H{\'e}lio Koiti and Alves, M{\'a}rcio E. S. and Aguiar, 
                         Odylio Denys de",
          affiliation = "{California Institute of Technology} and {Instituto Nacional de 
                         Pesquisas Espaciais (INPE)} and {Instituto Nacional de Pesquisas 
                         Espaciais (INPE)} and {Universidade Estadual Paulista (UNESP)} and 
                         {Instituto Nacional de Pesquisas Espaciais (INPE)}",
                title = "Orbit analysis of a geostationary gravitational wave 
                         interferometer detector array",
              journal = "Classical and Quantum Gravity",
                 year = "2015",
               volume = "32",
               number = "18",
                pages = "Article number 185017",
                month = "Sept.",
             keywords = "geostationary satellites, gravitational waves, interferometry.",
             abstract = "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.",
                  doi = "10.1088/0264-9381/32/18/185017",
                  url = "http://dx.doi.org/10.1088/0264-9381/32/18/185017",
                 issn = "0264-9381",
             language = "en",
           targetfile = "tinto_orbit.pdf",
        urlaccessdate = "05 dez. 2020"
}


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