Some Initial Conditions for Disposed Satellites of the Systems GPS and Galileo Constellations
Joint Authors
Brasil, Pedro Ivo de Oliveira
Sanchez, Diogo Merguizo
Cordeiro, Ricardo Reis
Yokoyama, Tadashi
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-01-13
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
Through the averaged equations we revisit theoretical and numerical aspects of the strong resonance that increases the eccentricity of the disposed objects of GPS and Galileo Systems.
A simple view of the phase space of the problem shows that the resonance does not depend on the semi-major axis.
Therefore, usual strategies of changing altitude (raising perigee) do not work.
In this problem we search for a set of initial conditions such that the deactivated satellites or upper-stages remain at least for 250 years without penetrating in the orbits of the operational satellites.
In the case that Moon's perturbation is not significant, we can identify, in the phase space, the regions where eccentricity reaches maximum and minimum values so that possible risks of collision can be avoided.
This is done semi-analytically through the averaged system of the problem.
Guided by this idea, we numerically found the (ω,Ω) values of the real unaveraged problem.
In particular, for the Galileo case, the theoretical results predicted in the averaged system are in good agreement with numerical results.
We also show that initial inclination of the Moon plays an important role in the search of these conditions.
American Psychological Association (APA)
Sanchez, Diogo Merguizo& Yokoyama, Tadashi& Brasil, Pedro Ivo de Oliveira& Cordeiro, Ricardo Reis. 2010. Some Initial Conditions for Disposed Satellites of the Systems GPS and Galileo Constellations. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-22.
https://search.emarefa.net/detail/BIM-477439
Modern Language Association (MLA)
Sanchez, Diogo Merguizo…[et al.]. Some Initial Conditions for Disposed Satellites of the Systems GPS and Galileo Constellations. Mathematical Problems in Engineering No. 2009 (2009), pp.1-22.
https://search.emarefa.net/detail/BIM-477439
American Medical Association (AMA)
Sanchez, Diogo Merguizo& Yokoyama, Tadashi& Brasil, Pedro Ivo de Oliveira& Cordeiro, Ricardo Reis. Some Initial Conditions for Disposed Satellites of the Systems GPS and Galileo Constellations. Mathematical Problems in Engineering. 2010. Vol. 2009, no. 2009, pp.1-22.
https://search.emarefa.net/detail/BIM-477439
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-477439