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Matem. Mod., 2017, Volume 29, Number 9, Pages 121–134 (Mi mm3892)  

The restoration of input parameters of an exterior ballistic solution by the results of body movement trajectory measurement

I. A. Kozlitin

Keldysh Institute of Applied Mathematics of RAS, Moscow

Abstract: The restoration of input parameters of an exterior ballistic solution (drag coefficient, initial velocity, temperature, pressure and other) by the results of body movement trajectory measurement is an important problem for analyzing of results of ballistic experiments (reverse exterior ballistic problem). It was established that without a priori information about unknown parameters, it does not have a single solution. A method is proposed for the solution of the reverse exterior ballistic problem with a priori information available on the base of the least-squares method and the maximum-likelihood method. The algorithm for solving this problem is described in detail. It was used for restoration of initial throwing conditions and atmosphere parameters and for solving problem of restoration of an initial velocity and a drag coefficient at the same time.

Keywords: reverse problem, exterior ballistic, experimental ballistic, numerical methods, maximum-likelihood method, least-squares method.

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English version:
Mathematical Models and Computer Simulations, 2018, 10:2, 226–236

Received: 21.03.2016

Citation: I. A. Kozlitin, “The restoration of input parameters of an exterior ballistic solution by the results of body movement trajectory measurement”, Matem. Mod., 29:9 (2017), 121–134; Math. Models Comput. Simul., 10:2 (2018), 226–236

Citation in format AMSBIB
\Bibitem{Koz17}
\by I.~A.~Kozlitin
\paper The restoration of input parameters of an exterior ballistic solution by the results of body movement trajectory measurement
\jour Matem. Mod.
\yr 2017
\vol 29
\issue 9
\pages 121--134
\mathnet{http://mi.mathnet.ru/mm3892}
\elib{http://elibrary.ru/item.asp?id=29972285}
\transl
\jour Math. Models Comput. Simul.
\yr 2018
\vol 10
\issue 2
\pages 226--236
\crossref{https://doi.org/10.1134/S2070048218020072}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85044974928}


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