GPS Satellites Orbits: Resonance | Zendy

Luiz Danilo Damasceno Ferreira | Zendy; Rodolpho Vilhena de Moraes | Zendy

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GPS Satellites Orbits: Resonance

Author(s) -

Luiz Danilo Damasceno Ferreira,

Rodolpho Vilhena de Moraes

Publication year - 2009

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2009/347835

Subject(s) - global positioning system , geopotential , geodesy , satellite , physics , orbit determination , harmonics , resonance (particle physics) , computer science , geography , astronomy , telecommunications , particle physics , quantum mechanics , voltage

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

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