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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Artificial satellites orbits in 2:1 resonance: GPS constellation

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Author(s):
Sampaio, J. C. [1] ; Neto, A. G. S. [2] ; Fernandes, S. S. [2] ; Vilhena de Moraes, R. [3] ; Terra, M. O. [2]
Total Authors: 5
Affiliation:
[1] UNESP Univ Estadual Paulista, BR-12516410 Guaratingueta, SP - Brazil
[2] ITA Inst Tecnol Aeronaut, BR-12228900 Sao Jose Dos Campos, SP - Brazil
[3] UNIFESP Univ Fed Sao Paulo, BR-12231280 Sao Jose Dos Campos, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: ACTA ASTRONAUTICA; v. 81, n. 2, p. 623-634, DEC 2012.
Web of Science Citations: 7
Abstract

In this work, the resonance problem in the artificial satellites motion is studied. The development of the geopotential includes the zonal harmonics J(20) and J(40) and the tesseral harmonics J(22) and J(42). Through an averaging procedure and successive Mathieu transformations, the order of dynamical system is reduced and the final system is solved by numerical integration. In the simplified dynamical model, three critical angles are studied. The half-width of the separatrix is calculated through a linearized model which describes the behavior of the dynamical system in a neighborhood of each critical angle. Through the resonance overlap criterion the possible regular and irregular motions are investigated by the time behavior of the semi-major axis, argument of perigee and eccentricity. The largest Lyapunov exponent is used as tool to verify the chaotic motion. (C) 2012 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 06/04997-6 - Close approach problems in orbital dynamics
Grantee:Rodolpho Vilhena de Moraes
Support type: Research Projects - Thematic Grants
FAPESP's process: 09/00735-5 - Orbital motion of artificial satellites: resonant effects
Grantee:Jarbas Cordeiro Sampaio
Support type: Scholarships in Brazil - Doctorate