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GPS Satellites Orbits: Resonance

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  • Luiz Danilo Damasceno Ferreira
  • Rodolpho Vilhena de Moraes

Abstract

The effects of perturbations due to resonant geopotential harmonics on the semimajor axis of GPS satellites are analyzed. For some GPS satellites, secular perturbations of about 4 m/day can be obtained by numerical integration of the Lagrange planetary equations considering in the disturbing potential the main secular resonant coefficients. Amplitudes for long-period terms due to resonant coefficients are also exhibited for some hypothetical satellites orbiting in the neighborhood of the GPS satellites orbits. The results are important to perform orbital maneuvers of GPS satellites such that they stay in their nominal orbits. Also, for the GPS satellites that are not active, the long-period effects due to the resonance must be taken into account in the surveillance of the orbital evolutions of such debris.

Suggested Citation

  • Luiz Danilo Damasceno Ferreira & Rodolpho Vilhena de Moraes, 2009. "GPS Satellites Orbits: Resonance," Mathematical Problems in Engineering, Hindawi, vol. 2009, pages 1-12, December.
    • Handle: RePEc:hin:jnlmpe:347835
    DOI: 10.1155/2009/347835
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