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Investigation of a Method for Improving Asteroid Orbits Based on Replacement of Observations with Their Simulated Values

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Russian Physics Journal Aims and scope

A method for improving asteroid orbits by gradual replacement of observations with their simulated values is considered. The method consists in successive rejection from processing of observations with maximal residuals and replacement of these observations with their values calculated in the last iteration of the process of orbit improvement. In addition, the traditional method of gradual rejection of observations with maximal residuals that does not preserve any information on these observations is considered. The accuracies of the methods are compared for a number of improvements of orbits of asteroids Nos. 115489 and 179699 from observations of their separate oppositions and pairs of oppositions. It is demonstrated that the method of replacement of observations with simulated values yields as a whole more exact results in comparison with the traditional methods of observation rejection.

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References

  1. A. P. Baturin, Russ. Phys. J., 59, No. 10, 1686–1692 (2016).

    Article  Google Scholar 

  2. O. M. Syusina, A. M. Chernitsov, V. A. Tamarov, and A. P. Baturin, Izv. Vyssh. Uchebn. Zaved. Fiz., 54, No. 6/2, 110–117 (2011).

    Google Scholar 

  3. T. Yu. Galushina and P. V. Skripnichenko, Izv. Vyssh. Uchebn. Zaved. Fiz., 56, 10/2, 144–149 (2013).

    ADS  Google Scholar 

  4. A. M. Chernitsov, V. A. Tamarov, and E. A. Barannikov, Russ. Phys. J., 59, No. 5, 699–706 (2016).

    Article  Google Scholar 

  5. A. M. Chernitsov, V. A. Tamarov, and E. A. Barannikov, Astron. Vestn., 51, No. 5, 432–440 (2017).

    Google Scholar 

  6. A. M. Chernitsov and A. P. Baturin, Astron. Vestn., 35, No. 4, 357–368 (2001).

    Google Scholar 

  7. A. P. Baturin and V/V/Kinzerskii, Izv. Vyssh. Uchebn. Zaved. Fiz., 57, No. 10/2, 67–75 (2014).

  8. S. D. Shaporev, Estimation of the statistical characteristics of observation errors when analyzing data on motion trajectories of celestial bodies, Doctoral Thesis in Physical and Mathematical Sciences, Saint Petersburg (1996).

  9. P. E. El’yasberg, Measurement Information: How Much Information Is Required? How to Process It? [in Russian], Nauka, Moscow (1983).

    Google Scholar 

  10. P. V. Novitskii and I. A. Zograf, Estimation of Measurement Errors [in Russian], Energoatomizdat, Leningrad (1985).

  11. A. P. Baturin, Russ. Phys. J., 57, No. 9, 1230–1238 (2014).

    Article  Google Scholar 

  12. T. V. Bordovitsyna, Modern Numerical Methods in Problems of Celestial Mechanics [in Russian], Nauka, Moscow (1984).

    MATH  Google Scholar 

  13. E. Everhart, in: Proc. 83rd Colloq. Int. Astron. Union, A. Carusi and G. B. Valsecchi, eds., Dordrecht (1985), pp. 185–202.

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Correspondence to A. P. Baturin.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 81–86, April, 2018.

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Baturin, A.P. Investigation of a Method for Improving Asteroid Orbits Based on Replacement of Observations with Their Simulated Values. Russ Phys J 61, 694–700 (2018). https://doi.org/10.1007/s11182-018-1449-8

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  • DOI: https://doi.org/10.1007/s11182-018-1449-8

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