MODELING OF REGIONS OF ASTEROID POSSIBLE MOTION

Автор(и)

  • A. M. Chernitsov Tomsk State University, Lenin pr., 36, Tomsk 634050 Russia, Російська Федерація
  • O. M. Dubas Tomsk State University, Lenin pr., 36, Tomsk 634050 Russia, Російська Федерація
  • V. A. Tamarov Tomsk State University, Lenin pr., 36, Tomsk 634050 Russia, Російська Федерація

DOI:

https://doi.org/10.18524/1810-4215.2007.20.87024

Ключові слова:

asteroid, probabilistic motion, initial region, weighting matrix, nonlinearity.

Анотація

Peculiar properties of construction of initial regions of asteroids' possible motion from observational data in the form of probabilistic ellipsoids are investigated. For the objects which observed only in one appearance, this problem may be essentially nonlinear, and the usual method for their construction with the help of linear estimations of covariance matrices may became unacceptable. In order to make possible application of the linear estimation methods which has been developing in mathematical statistics the problem of decreasing nonlinearity is discussed. The solution of this problem with the help of appropriate system of initial parameters of asteroid orbits choice, as well as initial time and weighting matrices of observational errors is proposed. Efficiency of such technique had justified by numerical experiments with the usage of model and real observations.

Посилання

Chernitsov A.M., Baturin A.P., Tamarov V.A.: 1998, Solar System Research, 5, 32, pp. 405-412. Translated from Astronomicheskii Vestnik, 5, 32, pp. 459-467.

Chernitsov A.M., Dubas O.M., Tamarov V.A.: 2006, ”Izvestiya Vysshikh Uchebnykh Zavedenii. Fizika”, 2, 49, pp. 44-51. (In Russian)

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Опубліковано

2007-12-22

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