Isaac Scientific Publishing

Advances in Astrophysics

Toward Autonomous Navigation of Spacecraft on the Observed Periodic Radiation of Pulsars

Download PDF (436.4 KB) PP. 61 - 71 Pub. Date: May 31, 2019

DOI: 10.22606/adap.2019.42002

Author(s)

  • A.E.Avramenko*
    P.N.Lebedev Physical Institute of Russian Academy of Sciences, Russia
  • B.Ya.Losovsky
    P.N.Lebedev Physical Institute of Russian Academy of Sciences, Russia

Abstract

The analytical coupling of the Doppler shift of the periodic pulsar radiation with the motion parameters of the observer in any chosen coordinate frame is shown. The motion parameters and the deviation of the spacecraft from the calculated position are associated with the Doppler shift of radiation of the pulsar. According to the coherent radiation of the pulsar in space and time, due to stable rotation parameters, the uniform physical time scales, invariant in any coordinate frame, including on-board, is formed. In the orthogonal coordinate system with axes beginning at the center of mass of the spacecraft and non-rotating axes relative to the barycenter of the Solar system, the projections of the radius vector and spacecraft deflection velocity in the direction of the pulsar are obtained. According to the observed rotation parameters of the pulsar, which are not correlated with its movement, inertial coordinate reference systems are synchronized by the criterion of invariance of analytical pulsar time scales in each of them. As an illustration, the decade data on the timing of the pulsar B0531+21 determined its own position and movement with an estimated accuracy within about 10 m and 10-1–10-2 m/s, respe

Keywords

spacecraft, position coordinates, velocity vector, pulsar, radiation period, time scales, inertial systems, synchronization.

References

[1] N.M. Ivanov and L.N. Lysenko, Ballistics and Navigation Spacecraft, (2nd edition). Drofa, Moscow, 2004 (in Russian).

[2] V.A. Fok, Einstein’s Theory and Physical Relativity, (2nd edition). URSS, Moscow, 2009 (in Russian).

[3] I.F. Malov, Radio Pulsars. Nauka, Moscow, 2004 (in Russian).

[4] D.R. Lorimer and M. Kramer, Handbook of Pulsar Astronomy. Cambridge University Press, 2005.

[5] V.M. Kaspi, Neutron Star/Supernova Remnant Associations, 1998. http//arxiv.org/pdf/astro-ph/9803026.pdf

[6] F.G. Smith, Pulsars. Cambridge University Press, 1977.

[7] A.E. Avramenko, “The Observed Rotation Period as an Identifier of the Pulsar Time Properties”, in Pulsars: Theory, Categories and Applications, Nova Publishers, NY, pp.61-72, 2010.

[8] A.E. Avramenko and B.Ya. Losovsky, “A Continuous Observing Rotational Stability of Pulsars”, in Proceedings of Russian Astrometric Conference, S-Petersburg, 2016, pp. 11-16 (in Russian).

[9] A.E. Avramenko, B.Ya. Losovsky, V.D. Pugachev, and T.V.Shabanova, “Compatibility of the Observed Rotation Parameters of Radio Pulsars on Long Time Scales”, International Journal of Astronomy and Astrophysics, vol. 8, no. 1, pp.24-45, 2018.

[10] V.K. Abalakin, Basics of Ephemeris Astronomy. Nauka, Moscow, 1979 (in Russian).

[11] E.V. Pitjeva, “The IAA RAS Fundamental Ephemerides of Planets and the Moon (EPM): their Model, Parameters, Accuracy”, Proceedings of IAA RAS, vol. 26, pp. 54-64, 2012 (in Russian).

[12] V.A.Brumberg, “Celestial Mechanics: Past, Present, Future”, Solar System Research, vol.47, no. 5, pp.347- 358.

[13] O.V. Doroshenko and S.M.Kopeikin, “High Precision Pulse Timing for Single Pulsars”, The Astronomical Journal, vol.67, pp.986-992.

[14] J.H. Taylor, R.N. Manchester, and A.G.Lyne, “Cataloque of 558 Pulsars”, Astrophysical Journal Supplement series, vol.88, pp.529-568.

[15] P.S. Ray, K.S. Wood, and M.T. Wolff, “Characterization of Pulsar Sources for X-ray Navigation”, in arXiv:1711.08507v1 [astro-ph.IM], 2017.

[16] I.F. Malov and M.A. Timirkeeva, “Radio Pulsars with Expected Gamma Radiation and Gamma Pulsars as Pulsating Radio Emitters”, in arXiv:1712.06990v1 [astro-ph.HE], 2017.

[17] A.E. Avramenko, “A Method of Navigation a Spacecraft by Means of Celestial Sources of Periodic Radiation”, The Patent of the Russian Federation no. 2 453 813, vol.17, 2012.