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The Effect of Dissipative Moments Caused by Liquid Body Viscosity on the Rotation Stability of a Space Object

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Abstract

The influence of dissipative forces in a viscous liquid that completely fills the cavities of a space object executing a rotational motion is analyzed. The Navier–Stokes equations are solved by expanding them into a series in terms of eigenfunctions of the boundary value problem on involving the resting liquid in rotation around the longitudinal axis of a cavity. The analytical solutions for coaxial cylindrical and concentric spherical cavities are obtained, in particular, for a straight circular cylinder and a sphere. The stability of the single-axis orientation of a space object filled with a viscous liquid is investigated. The dependences of rotation decay processes and drifts of the space object's longitudinal axis from a given direction are shown on the plane of constructive parameters.

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REFERENCES

  1. Dokuchaev, L.V. and Rabinovich, B.I., Analysis of Perturbed Motion near the Stability Boundary of a Rotating Spacecraft of the INTERBALL Auroral Probe Type, Kosm. Issled., 1999, vol. 37, no. 6, pp. 589-597.

    Google Scholar 

  2. Dokuchaev, L.V., Nazirov, R.R., Rabinovich, B.I., and Ul'yashin, A.I., On the Concordance of the Mathematical Model of Nutation of the Interball-2 Satellite with a Flight Experiment, Kosm. Issled., 2000, vol. 38, no. 5, pp. 454-462.

    Google Scholar 

  3. Moiseev, N.N. and Rumyantsev, V.V., Dinamika tela s polostyami, soderzhashchimi zhidkost' (Dynamics of a Body with Cavities Filled with Liquid), Moscow: Nauka, 1965.

    Google Scholar 

  4. Rabinovich, B.I., Vvedenie v dinamiku raket-nositelei kosmicheskikh apparatov (Introduction to Dynamics of Rocket Launchers for Spacecraft), Moscow: Mashinostroenie, 1975.

    Google Scholar 

  5. Chernous'ko, F.L., Dvizhenie tverdogo tela s polostyami, soderzhashchimi vyazkuyu zhidkost' (The Motion of a Solid Body with Cavities Containing Viscous Fluid), no. 7 of Matematicheskie metody v dinamike kosmicheskikh apparatov, Moscow: Vych. Tsentr. Akad. Nauk. SSSR, 1968.

    Google Scholar 

  6. Slezkin, N.A., Dinamika vyazkoi neszhimaemoi zhidkosti (Dynamics of Viscous Incompressible Fluid), Moscow: Gostekhizdat, 1955.

    Google Scholar 

  7. Dokuchaev, L.V., Nelineinaya dinamika letatel'nykh apparatov s deformiruemymi elementami (Nonlinear Dynamics of Aircraft and Spacecraft with Deformable Elements), Moscow: Mashinostroenie, 1987.

    Google Scholar 

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  1. Central Research Institute of Mechanical Engineering, Korolev, Moscow oblast, Russia

    L. V. Dokuchaev

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  1. L. V. Dokuchaev
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Dokuchaev, L.V. The Effect of Dissipative Moments Caused by Liquid Body Viscosity on the Rotation Stability of a Space Object. Cosmic Research 40, 37–47 (2002). https://doi.org/10.1023/A:1014295801379

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