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Deep Resonant GPS-Dynamics Due to the Geopotential

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Abstract

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.

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Author notes

  1. Zachary J. Folcik (Associate Staff)

    Present address: MIT Lincoln Laboratory, USA

Authors and Affiliations

  1. Real Observatorio de la Armada, ES-11110, San Fernando, Spain

    Martin Lara

  2. Universidad de La Rioja, ES-26004, Logroño, Spain

    Juan F. San-Juan

  3. Massachusetts Institute of Technology, Cambridge, MA, 02139, USA

    Zachary J. Folcik (Associate Staff)

  4. University at Buffalo, State University of New York, Amherst, New York, 14260-440, USA

    Paul Cefola

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  1. Martin Lara
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Correspondence to Martin Lara.

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Lara, M., San-Juan, J.F., Folcik, Z.J. et al. Deep Resonant GPS-Dynamics Due to the Geopotential. J of Astronaut Sci 58, 661–676 (2011). https://doi.org/10.1007/BF03321536

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