Skip to main content
Log in

Assessing antenna field of view and receiver clocks of COSMIC and GRACE satellites: lessons for COSMIC-2

  • Original Article
  • Published:
GPS Solutions Aims and scope Submit manuscript

Abstract

We provide suggestions for the approved COSMIC-2 satellite mission regarding the field of view (FOV) and the clock stability of its future GNSS receiver based on numerical analyses using COSMIC GPS data. While the GRACE GPS receiver is mounted on the zenith direction, the precise orbit determination (POD) antennas of COSMIC are not. The COSMIC antenna design results in a narrow FOV and a reduction in the number of GPS observations. To strengthen the GPS geometry, GPS data from two POD antennas of COSMIC are used to estimate its orbits. The phase residuals of COSMIC are at the centimeter level, compared to the millimeter level of GRACE. The receiver clock corrections of COSMIC and GRACE are at the microsecond and nanosecond levels, respectively. The clock spectra of COSMIC at the frequencies of 0–0.005 Hz contain significant powers, indicating potential systematic errors in its clock corrections. The clock stability, expressed by the Allan deviation, of COSMIC ranges from 10−9 to 10−11 over 1 to 104 s, compared to 10−12 to 10−14 for GRACE. Compared to USO-based clock of GRACE, the clock of COSMIC is degraded in its stability and is linked to the reduction of GPS data quality. Lessons for improvement of COSMIC-2 over COSMIC in FOV and receiver clock stability are given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  • Allan DW (1987) Time and frequency (time-domain) characterization, estimation, and prediction of precision clock and oscillators. IEEE Trans Ultrason Ferroelect Freq Contr, vol.uffc-34(6)

  • Bettadpur S (2012) GRACE Product Specification Document, Rev. 4.6. Technical Report GRACE 327-720 (CSR-GR-03-02), Center for Space Research, The University of Texas at Austin

  • Beyerle G, Schmidt T, Michalak G, Heise S, Wickert J, Reigber C (2005) GPS radio occultation with GRACE: Atmospheric profiling utilizing the zero difference technique. Geophys Res Lett 32:L13806. doi:10.1029/2005GLo23109

    Article  Google Scholar 

  • Bock H, Jäggi A, Meyer U, Dach R, Beutler G (2011) Impact of GPS antenna phase center variations on precise orbits of the GOCE satellite. Adv Space Res 47(11):1885–1893. doi:10.1016/j.asr.2011.01.017

    Article  Google Scholar 

  • Dach R, Schildknecht T, Hugentobler U, Bernier L-G, Dudle G (2006) Continuous geodetic time transfer analysis methods. IEEE Trans Ultrason Ferroelect Freq Contr 53:1250–1259

    Article  Google Scholar 

  • Dach R, Hugentobler U, Fridez P, Meindl M (2007) Bernese GPS Software—Version 5.0, Astronomical Institute. University of Bern, Switzerland

  • Delporte J, Mercier F, Laurichesse D, Galy O (2008) GPS carrier-phase time transfer using single-difference integer ambiguity resolution. Int J Navig Obs. doi:10.1155/2008/273785

    Google Scholar 

  • Esterhuizen S, Franklin G, Hurst K, Mannucci A, Meehan T, Webb F, Young L (2009) TriG—A GNSS precise orbit and radio occultation space receiver. 22nd International meeting of the satellite division of the institute of navigation, Savannah, GA, September 22-25, page(s):1442–1446

  • Fong CJ, Yang SK, Chu CH, Huang CY, Yeh JJ, Lin CT, Kuo TC, Liu TY, Yen NL, Chen SS, Kuo YH, Liou YA, Chi S (2008) FORMOSAT-3/COSMIC constellation spacecraft system performance: after 1 year in orbit. IEEE Trans Geosci Remote Sens 46:3380–3394

    Article  Google Scholar 

  • Fong CJ, Whiteley D, Yang E, Cook K, Chu V, Schreiner B, Ector D, Wilczynski P, Liu TY, Yen N (2011) Space and ground segment performance and lessons learned of the FORMOSAT-3/COSMIC mission: 4 years in orbit. Atmos Meas Tech 4:1115–1132. doi:10.5194/amt-4-1115-2011

    Article  Google Scholar 

  • Galleani L (2008) Detection of changes in clock noise using the time-frequency spectrum. Metrologia 45:S143–S153. doi:10.1088/0026-1394/45/6/S20

    Article  Google Scholar 

  • Hofmann-Wellenhof B, Lichtenegger H, Collins J (2001) Global positioning system: theory and practice. Springer Wien New York, ISBN 3-211-83472-9

  • Hwang C, Tseng TP, Lin T, Švehla D, Schreiner B (2009) Precise orbit determination for the FORMOSAT-3/COSMIC satellite mission GPS. J Geod 83:477–489. doi:10.1007/s00190-008-0256-3

    Article  Google Scholar 

  • Hwang C, Tseng TP, Lin T, Švehla D, Hugentobler U, Chao BF (2010) Quality assessment of FORMOSAT-3/COSMIC and GRACE GPS observables: analysis of multipath, ionospheric delay and phase residual in orbit determination. GPS Solut 14(1):121–131. doi:10.1007/s10291-009-0145-0

    Article  Google Scholar 

  • Jäggi A, Hugentobler U, Bock H, Beutler G (2007) Precise orbit determination for GRACE using undifferenced or doubly differenced GPS data. Adv Space Res 39(10):1612–1619. doi:10.1016/j.asr.2007.03.012

    Article  Google Scholar 

  • Jäggi A, Dach R, Montenbruck O, Hugentobler U, Bock H, Beulter G (2009) Phase center modeling for LEO GPS receiver antenna and its impact on precise orbit determination. J Geod 83:1145–1162. doi:10.1007/s00190-009-0333-2

    Article  Google Scholar 

  • Kedar S, Hajj GA, Wilson BD, Heflin MB (2003) The effect of the second order GPS ionospheric correction on receiver positions. Geophys Res Lett 30(16):1829. doi:10.1029/2003GL017639

    Article  Google Scholar 

  • Kuang D, Bertiger W, Desai S, Haines B, Iijima B, Meehan T (2008) Precise orbit determination for COSMIC Satellites using GPS data from two on-board Antennas. Proceedings of the IEEE/ION PLANS, pp 720–730, May 6–8, Monterey, California

  • Montenbruck O, Garcia-Fernandez M, Williams J (2006) Performance comparison of semicodeless GPS receivers for LEO satellites. GPS Solut 10:249–261. doi:10.1007/s10291-006-0025-9

    Article  Google Scholar 

  • Montenbruck O, Garcia-Fernandez M, Yoon Y, Schön S, Jäggi A (2009) Antenna phase center calibration for precise positioning of LEO satellites. GPS Solut 13:23–34. doi:10.1007/s10291-008-0094-z

    Article  Google Scholar 

  • Riley WJ (2003) Techniques for frequency stability analysis. IEEE International Frequency Control Symposium, Tampa, FL, May 4

    Google Scholar 

  • Schreiner W, Rocken C, Sokolovskiy S, Hunt D (2010) Quality assessment of COSMIC/FORMOSAT-3 GPS radio occultation data derived from single- and double-difference atmospheric excess phase processing. GPS Solut 14:13–22. doi:10.1007/s10291-009-0132-5

    Article  Google Scholar 

  • Švehla D, Rothacher M (2003) Kinematic and reduced–dynamic precise orbit determination of low earth orbiters. Adv Geosci 1:47–56

    Article  Google Scholar 

  • Tseng TP, Hwang C, Yang SK (2012) Assessing attitude error of FORMOSAT-3/COSMIC satellites and its impact on orbit determination. Adv Space Res 49(9):1301–1312. doi:10.1016/j.asr.2012.02.007

    Article  Google Scholar 

  • Yeh TK, Hwang C, Xu G, Wang CS, Lee CC (2009) Determination of global positioning system (GPS) receiver clock errors: impact on positioning accuracy. Meas Sci Technol 20(7):1–7. doi:10.1088/0957-0233/20/7/075105

    Article  Google Scholar 

  • Yeh TK, Chen CH, Xu G, Wang SC, Chen KH (2012) The impact on the positioning accuracy of the frequency reference of a GPS receiver. Surv Geophys. doi:10.1007/s10712-012-9202-2

    Google Scholar 

Download references

Acknowledgments

This research is supported by National Space Organization, Taiwan (contract no. NSPO-S-100011), Australia Space Research Program (ASRP) (Grant No. ASRP2, RMIT), and National Science Council (contract no. 100-2221-E-009-132-MY3). We thank CODE for providing the precise GPS orbit, clock, and earth rotation parameters and are grateful to the comments of reviewers to enhance the quality of the paper.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Cheinway Hwang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tseng, TP., Zhang, K., Hwang, C. et al. Assessing antenna field of view and receiver clocks of COSMIC and GRACE satellites: lessons for COSMIC-2. GPS Solut 18, 219–230 (2014). https://doi.org/10.1007/s10291-013-0323-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10291-013-0323-y

Keywords

Navigation