@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 = "27 abr. 2024"
}