Abstract
We consider the rotational motion of a spacecraft with small asymmetry in the atmosphere. The application of the method of averaging in the non-resonance case allows us to create a more complete classification of the secondary resonance effects in the rotation of a spacecraft in the atmosphere. The classification structure includes both known and new secondary resonance effects.
Similar content being viewed by others
References
Sadov, Yu. A., Rapid Rotation of the Satellite with a Magnetic Damper. 4 Dissipative Evolution. Resonance Effects, Cosmic Research, 1986, vol. 24, no. 4, pp. 553–564.
Sadov, Yu. A., Secondary Resonance Effects in Mechanical Systems, Mechanics of Solids, 1990, vol. 25, no. 4, pp. 20–24.
Lyubimov, V. V., Some Features of Disturbed Rotational Motion of a Satellite with a Strong Onboard Magnet, Izv.Vuz. Av. Tekhnika, 2009, vol. 52, no. 2, pp. 29–31 [Russian Aeronautics (Engl. Transl.), vol. 52, no. 2, pp. 172–175].
Zabolotnov, Yu. M. and Lyubimov, V.V., Secondary Resonance Effect in the Motion of a Spacecraft in the Atmosphere, Cosmic Research, 1998, vol. 36, no. 2, pp. 194–201.
Zabolotnov, Yu.M. and Lyubimov, V.V., Secondary Resonance Effects in the Rotation of a Rigid Body about a Fixed Point, Mechanics of Solids, 2002, vol. 37, no. 1, pp. 39–46.
Belokonov, V.M., Belokonov, I.V., and Belokonov, Yu.M., Rapid Calculation of the Descent Trajectory in the Atmosphere of Uncontrolled Spacecraft Taking into Account their Motion Relative to the Center of Mass, Cosmic Research, 1983, vol. 18, no. 4.
Zabolotnov, Yu.M. and Lyubimov, V.V., Application of the Method of Integral Manifolds for Construction of Resonant Curves for the Problem of Spacecraft Entry into the Atmosphere, Cosmic Research, 2003, vol. 41, no. 5, pp. 453–459.
Strygin, V.V. and Sobolev, V.A., Razdelenie dvizhenii metodom integral’nykh mnogoobrazii (Separation of Motions by the Integral Manifold Method), Moscow: Nauka, 1988.
Yaroshevskii, V.A., Vkhod v atmosferu kosmicheskikh letatel’nykh apparatov (Spacecraft Atmosphere Re-Entry), Moscow: Nauka. 1988.
Moiseev, N.N., Asimptoticheskie metody nelineynoi mekhaniki (Asymptotic Methods in Nonlinear Mechanics), Moscow: Nauka, 1986.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.V. Lyubimov, published in Izvestiya VUZ. Aviatsionnaya Tekhnika, 2014, No. 3, pp. 23–28.
About this article
Cite this article
Lyubimov, V.V. Asymptotic analysis of the secondary resonance effects in the rotation of a spacecraft with small asymmetry in the atmosphere. Russ. Aeronaut. 57, 245–252 (2014). https://doi.org/10.3103/S1068799814030052
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1068799814030052