The Journal of the Astronautical Sciences

, Volume 58, Issue 4, pp 661–676

Deep Resonant GPS-Dynamics Due to the Geopotential

  • Martin Lara
  • Juan F. San-Juan
  • Zachary J. Folcik
  • Paul Cefola

DOI: 10.1007/BF03321536

Cite this article as:
Lara, M., San-Juan, J.F., Folcik, Z.J. et al. J of Astronaut Sci (2011) 58: 661. doi:10.1007/BF03321536


On time scales of interest for mission planning of GNSS satellites, the qualitative motion of the semimajor axis and the node evolves primarily from resonances with the Earth’s gravitational field. The relevant dynamics of GPS orbits, which are in deep 2 to 1 resonance, is modeled with an integrable intermediary that depends only on one angle, the stroboscopic mean node, plus a two degrees of freedom perturbation that is factored by the eccentricity. Results are compared with long-term runs of the GTDS DSST showing very good agreement.

Copyright information

© American Astronautical Society, Inc. 2011

Authors and Affiliations

  • Martin Lara
    • 1
  • Juan F. San-Juan
    • 2
  • Zachary J. Folcik
    • 3
  • Paul Cefola
    • 4
  1. 1.Real Observatorio de la ArmadaSan FernandoSpain
  2. 2.Universidad de La RiojaLogroñoSpain
  3. 3.Massachusetts Institute of TechnologyCambridgeUSA
  4. 4.University at Buffalo, State University of New YorkAmherstUSA
  5. 5.MIT Lincoln LaboratoryUSA

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