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Calculating the Mean Orbit Elements of Navigation Satellites Using Hilbert-Huang Transformation

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China Satellite Navigation Conference (CSNC) 2019 Proceedings (CSNC 2019)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 563))

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Abstract

When the navigation satellite GEO performs a station keeping, high-precision orbit elements are required. The analytical solution can hardly meet the high-precision requirement while the spectrum analysis method based on Fourier analysis theory has limitations. The Hilbert-Huang transform theory decomposes the signal adaptively into a finite number of intrinsic modes and residual signals that characterize the trend of the signal through empirical mode decomposition. It is strong adaptable and frequency sensitive, so that it can give spectral analysis to the oscular orbit ephemeris sequence effectively. By analyzing the data of Beidou 3G01 satellite positioned on November 9th, 2018, a clear time-varying frequency and a set of mean orbit elements that characterize the mean motion are obtained.

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References

  1. Li H, Gao Y, Yu P et al (2009) Research on co-location control strategy of geostationary orbit. J Astronaut 30(3):967–973

    Google Scholar 

  2. Kozai Y (1959) The motion of a close earth satellite. Astron J 64:367

    Article  MathSciNet  Google Scholar 

  3. Brouwer D (1959) Solution of the problem of artificial satellite theory without drag. Astron J 64:378

    Article  MathSciNet  Google Scholar 

  4. Liu C, Li F (2018) Perturbation analysis method for Influence of satellite orbit error on positioning accuracy. Astron Res Technol 15(1):40–45

    Google Scholar 

  5. Liu L (1975) An artificial earth satellite perturbation calculation method. Astron J 16(1):5–80

    Article  Google Scholar 

  6. Huang NE, Shen Z, Long SR et al (1971) The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proc Roy Soc Lond A: Math Phys Eng Sci 1998(454):903–995

    MATH  Google Scholar 

  7. Huang NE, Wu MLC, Long SR et al (2003) A confidence limit for the empirical mode decomposition and Hilbert spectral analysis. Proc Roy Soc Lond A: Math Phys Eng Sci 459(2037):2317–2345

    Article  MathSciNet  MATH  Google Scholar 

  8. Rilling G, Flandrin P, Goncalves P (2003) On empirical mode decomposition and its algorithms. In: IEEE-EURASIP workshop on nonlinear signal and image processing. NSIP 2003, Grado (I), vol 3, pp 8–11

    Google Scholar 

  9. Huang NE (2000) New method for nonlinear and nonstationary time series analysis: empirical mode decomposition and Hilbert spectral analysis. In: Wavelet applications VII, vol 4056. International Society for Optics and Photonics, pp 197–210

    Google Scholar 

  10. Feldman M, Seibold S (1999) Damage diagnosis of rotors: application of Hilbert transform and multihypothesis testing. J Vib Control 5(3):421–442

    Article  Google Scholar 

  11. Feldman M (1997) Non-linear free vibration identification via the Hilbert transform. J Sound Vib 208(3):475–489

    Article  MathSciNet  MATH  Google Scholar 

  12. Chen Z, Zheng S (2003) Analysis of edge effect of EMD signal analysis method. Data Acquis Process 18(1):114–118

    MathSciNet  Google Scholar 

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Correspondence to Nan Ye .

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Ye, N., Li, H., Zhong, W., He, Y., Ren, Y. (2019). Calculating the Mean Orbit Elements of Navigation Satellites Using Hilbert-Huang Transformation. In: Sun, J., Yang, C., Yang, Y. (eds) China Satellite Navigation Conference (CSNC) 2019 Proceedings. CSNC 2019. Lecture Notes in Electrical Engineering, vol 563. Springer, Singapore. https://doi.org/10.1007/978-981-13-7759-4_1

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  • DOI: https://doi.org/10.1007/978-981-13-7759-4_1

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-7758-7

  • Online ISBN: 978-981-13-7759-4

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