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On a Dynamical System that Describes the Motion of a Parachutist

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Abstract

In this paper, we consider a system of differential equations describing the free fall of a parachutist and his dropping with the open parachute canopy. The system is studied qualitatively and its possible equilibrium states are examined. Calculations were performed for experimental data obtained from realistic jumps.

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References

  1. A. A. Borovkov, Mathematical Statistics [in Russian], Lan’, Saint Petersburg (2010).

  2. N. N. Kalitkin, Numerical Methods [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  3. I. Yu. Klochkova, “Mathematical model of a planar motion of a heavy particle,” Vestn. Ross. Akad. Estestv. Nauk, 16, No. 3, 28–33 (2016).

    Google Scholar 

  4. V. V. Lyalin, V. I. Morozov, and A. T. Ponomarev, Parachute Systems [in Russian], Fizmatlit, Moscow (2009).

    Google Scholar 

  5. A. I. Nekrasov, A Course of Theoretical Mechanics. Vol. II. Dynamics [in Russian], GITTL, Moscow (1958).

  6. Yu. V. Usachev and V. N. Kurashin, “Mathematical model of the motion of a parachutist,” Vestn. Ryazan. Univ., 26, No. 1, 108–115 (2010).

    Google Scholar 

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Correspondence to I. Yu. Klochkova.

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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 148, Proceedings of the International Conference “Geometric Methods in Control Theory and Mathematical Physics: Differential Equations, Integrability, and Qualitative Theory” (Ryazan, September 15–18, 2016), 2018.

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Klochkova, I.Y. On a Dynamical System that Describes the Motion of a Parachutist. J Math Sci 248, 404–408 (2020). https://doi.org/10.1007/s10958-020-04881-3

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  • DOI: https://doi.org/10.1007/s10958-020-04881-3

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