Deep resonant GPS-Dynamics due to the geopotential

  1. Lara, M. 2
  2. San-Juan, J.F. 3
  3. Folcik, Z.J. 1
  4. Cefola, P. 4
  1. 1 Massachusetts Institute of Technology
    info

    Massachusetts Institute of Technology

    Cambridge, Estados Unidos

    ROR https://ror.org/042nb2s44

  2. 2 Real Observatorio de la Armada, ES-11110 San Fernando, Spain
  3. 3 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  4. 4 University at Buffalo, State University of New York
    info

    University at Buffalo, State University of New York

    Búfalo, Estados Unidos

    ROR https://ror.org/01y64my43

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Journal:
Journal of the Astronautical Sciences

ISSN: 0021-9142

Year of publication: 2011

Volume: 58

Issue: 4

Pages: 661-676

Type: Article

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DOI: 10.1007/BF03321536 SCOPUS: 2-s2.0-84872042031 WoS: WOS:000312173100006 GOOGLE SCHOLAR

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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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Funding information

Part of this research has been supported by the Government of Spain (Projects AYA 2009-11896, AYA 2010-18796 and grant Gobierno de La Rioja Fomenta 2010/16). Conversations with L. Anselmo helped in reproducing SATRAP GPS orbit predictions with DSST. We thank NASA GSFC FDF for 50 year SLP and timing coefficients files (1995 to 2044) that are used in the GTDS DSST predictions. We appreciate William M. Robertsons (Draper Laboratory) comments on the manuscript. The work of Zachary Folcik was sponsored by the U.S. Air Force under Air Force Contract FA8721-05-C-0002. Opinions, interpretations, conclusions, and recommendations are those of the authors and are not necessarily endorsed by the United States Government. Paul Cefola wishes to acknowledge the encouragement of Profs. John Crassidis and Puneet Singla (at the University at Buffalo), Brian Weeden (at Secure World Foundation), Daron Nishimoto and Dr. Keric Hill (at Pacific Defense Solutions), Drs. Moriba Jah and Chris Sabol (USAF), and John E. Draim (Capt. USN, ret).

Funders

  • Government of Spain
    • AYA 2009-11896
    • AYA 2010-18796
  • Government of Spain grant Gobierno de La Rioja Fomenta
  • U.S. Air Force under Air Force
    • FA8721-05-C-0002