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The Timing Equation in X-Ray Pulsar Autonomous Navigation

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China Satellite Navigation Conference (CSNC) 2013 Proceedings

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 245))

Abstract

The timing equation is the basic theory of dealing with the observable data of pulsar. The pulse timing model is studied; With analyzing the existing conclusions about timing equations, the transformation equation of pulsar photon time of arrive in 1PN approximation is derived, and the classic transformation equations are compared with; the transformation of the proper time from the spacecraft to TCB is also obtained.

Project supported by the State Key Development Program for the National Natural Science Foundation of China (Grant Nos. 41004013, 41174025, 41204020).

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References

  1. Sheikh SI (2005) The use of variable celestial X-ray sources for spacecraft navigation. Department of Aerospace Engineering, University of Maryland, Maryland

    Google Scholar 

  2. Hongfei R (2009) The research on timing model of the pulsar navigation in the general theory of relativity. PLA information engineering university, zhengzhou

    Google Scholar 

  3. Hongfei R,Ziqing W,Zhehe Z,Fumei W (2012) The timing equation of pulsar navigation in 1PN Approximation and its accuracy analysis. Acta Geodaetica et Cartographica Sinca 41(1):41–47

    Google Scholar 

  4. M Zhao, TY Huang (2009) An astrometry parsing to the data of pulsar timing. Sci China: series G (11):1671–1677

    Google Scholar 

  5. Backer DC, Helling RW (1986) Pulsar timing and general relativity. Ann Rev Astron Astrophy 24:537–575

    Google Scholar 

  6. Lorimer DR, Kramer M ()2005 Handbook of pulsar astronomy. Cambridge University Press, Cambridge

    Google Scholar 

  7. Helling RW (1986) Relativistic effects in astronomical timing measurement. Astron J 91(3):650–659

    Google Scholar 

  8. Murry CA (1983) Vectorial Astrometry. Tsechno House of Adam Hilger, 1983

    Google Scholar 

  9. Edwards RT, Hobbs GB, Manchester RN (2006) Tempo2, a new pulsar timing package-II: The timing model and precision estimates. arXiv:astro-ph/0607664v1 31 Jul 2006

    Google Scholar 

  10. Sheikh SI, Hellings RW, Matzner RA (2007) High-order pulsar timing for navigation. ION 63th Annual Meeting, 23–25 April 2007, pp 432–443

    Google Scholar 

  11. Shuai P, Li M, Chen Z, Huang Z (2009) The principle and method the X-ray pulsar-Based navigation system. The china aerospace press, Beijing

    Google Scholar 

  12. Baojun F, Weijin S, Gaotian P, Chengxiang J (2010) Transformation of photon time of arrival in XNAV. Chin J Space Sci 30(1):85–90

    Google Scholar 

  13. Liu JQ, Xu CM ()1989 The high order relativistic effects in millisecond pulsar timing. ACTA Astron Sin 30(3):323–331

    Google Scholar 

  14. Blanford R, Teukolsky SA (1976) Arrival time analysis for a pulsar in a binary system. Ast rophsical J 205:580–590

    Google Scholar 

  15. Dennies DM, Petit G (2004) IERS Conventions (2003). http://www.iers.org/iers/publications/tn/tn32/

  16. Liu L, Hou X (2012) The orbital mechanics of deep space probe. Pulishing house of electronics industry, Beijing

    Google Scholar 

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Correspondence to Qingyong Zhou .

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Zhou, Q., Ji, J., Ren, H. (2013). The Timing Equation in X-Ray Pulsar Autonomous Navigation. In: Sun, J., Jiao, W., Wu, H., Shi, C. (eds) China Satellite Navigation Conference (CSNC) 2013 Proceedings. Lecture Notes in Electrical Engineering, vol 245. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37407-4_51

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  • DOI: https://doi.org/10.1007/978-3-642-37407-4_51

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-37406-7

  • Online ISBN: 978-3-642-37407-4

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