Abstract:
Under consideration is the nonlinear dynamical system describing the near-resonance motion in the atmosphere of a spacecraft with small aerodynamic, mass, and inertial asymmetries. The aim of the study is to obtain an expression for estimating the probability of capture into the principal resonance. It is shown that the expression for estimating the probability of capture into resonance makes it possible to determine the magnitude of asymmetries of the spacecraft both in the realization of capture into and in passing through the principal resonance. The veracity of the obtained estimate of the probability of capture into resonance is confirmed by the results of numerical simulation in the problem of descent of a spacecraft in the atmosphere of Mars.
Citation:
E. V. Kurkina, V. V. Lyubimov, “Estimation of the probability of capture into resonance and parametric analysis in the descent of an asymmetric spacecraft in an atmosphere”, Sib. Zh. Ind. Mat., 21:3 (2018), 74–83; J. Appl. Industr. Math., 12:3 (2018), 492–500
\Bibitem{KurLyu18}
\by E.~V.~Kurkina, V.~V.~Lyubimov
\paper Estimation of the probability of capture into resonance and parametric analysis in the descent of an asymmetric spacecraft in an atmosphere
\jour Sib. Zh. Ind. Mat.
\yr 2018
\vol 21
\issue 3
\pages 74--83
\mathnet{http://mi.mathnet.ru/sjim1012}
\crossref{https://doi.org/10.17377/sibjim.2018.21.307}
\elib{https://elibrary.ru/item.asp?id=36460643}
\transl
\jour J. Appl. Industr. Math.
\yr 2018
\vol 12
\issue 3
\pages 492--500
\crossref{https://doi.org/10.1134/S1990478918030092}
\elib{https://elibrary.ru/item.asp?id=35761417}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85052244713}
Linking options:
https://www.mathnet.ru/eng/sjim1012
https://www.mathnet.ru/eng/sjim/v21/i3/p74
This publication is cited in the following 5 articles:
V. V. Lyubimov, I. Bakry, 2023 30th Saint Petersburg International Conference on Integrated Navigation Systems (ICINS), 2023, i
E. V. Barinova, I. V. Belokonov, N. A. Elisov, A. V. Kramlikh, I. A. Lomaka, P. N. Nikolaev, I. A. Timbai, “Some Features of Dynamics and Attitude Control of Nanosatellites in Low Orbits”, Gyroscopy Navig., 14:3 (2023), 183
V V Lyubimov, “Estimation of the probability of two consecutive passages through resonance during the descent of an asymmetric rigid body in a rarefied atmosphere”, J. Phys.: Conf. Ser., 2099:1 (2021), 012066
E. V. Barinova, I. V. Belokonov, I. A. Timbai, “Preventing Resonant Motion Modes for Low-Altitude CubeSat Nanosatellites”, Gyroscopy Navig., 12:4 (2021), 350
Yu. M. Zabolotnov, “Resonant motions of the statically stable Lagrange spinning top”, Mech. Sol., 54:5 (2019), 652–668
Citation in format AMSBIB
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