Abstract
Using the method of averaging, the condition is derived of the regime of plane autorotation for an axisymmetric spacecraft at its initial stage of reentry into the atmosphere, where one can assume the velocity head to be an exponential function of time. The results obtained by this method are compared with the results of numerical calculations. Special attention is given to the regimes of long spacecraft hovering in the vicinity of an unstable equilibrium position. Analytical estimates are made for these regimes.
Similar content being viewed by others
REFERENCES
Shilov, A.A., Influence of the Mass and Aerodynamical Asymmetry of a Body on the Character of Its Spatial Motion, Dokl. Akad. Nauk SSSR, 1968, vol. 183, no. 5, pp. 1028-1035.
Laricheva, V.V. and Shilov, A.A., An Asymptotic Method of Determination of an Analog of Separatrices under a Body Motion around the Center of Mass in the Atmosphere, Kosm. Issled., 1969, vol. 7, no. 1.
Bobylev, A.V., Volodin, V.D., et al., The Problem of Reducing the Dimensions of the Regions of Scatter of Launching Vehicle Fragments, Doklad na konferentsii TsAGI po giperzvukovym tekhnologiyam (Conf. of Central Inst. Aerohydrodynamics on Hypersonic Technologies), Zhukovskii, Moscow oblast, 1998.
Bobylev, A.V. and Yaroshevskii, V.A., Estimation of the Conditions of Capture into a Resonance Rotation Mode of an Uncontrolled Body during Its Descent into the Atmosphere, Kosm. Issled., 1999, vol. 37, no. 5, pp. 515-523.
Yaroshevskii, V.A., Dvizhenie neupravlyaemogo tela v atmosfere (Motion of an Uncontrolled Body in the Atmosphere), Moscow: Mashinostroenie, 1978.
Yaroshevskii, V.A. and Voeikov, V.V., Studies of the Plane Uncontrolled Motion of a Vehicle Descending into the Atmospheric Dense Layers about Its Center of Mass, Tr. Tsentr. Aerogidrodin. Inst., 1961.
Gantmakher, F.R., Lektsii po analiticheskoi mekhanike (Lectures in Analytical Mechanics), Moscow: Nauka, 1966.
Yaroshevskii, V.A., Analytical Estimates of Peak Amplitudes of Oscillations of the Angle of Attack for Uncontrolled Spacecraft Entering into the Atmosphere: A Case of Plane Motion, Kosm. Issled., 2000, vol. 38, no. 4, pp. 437-442.
Handbook of Mathematical Functions, Abramowitz, M. and Stegun, I.A., Eds., New York: Dover, 1971. Translated under the title Spravochnik po spetsial'nym funktsiyam, Moscow: Nauka, 1979.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Yaroshevskii, V.A. Investigation of Conditions for Plane Autorotation of a Spacecraft Entering the Atmosphere. Cosmic Research 39, 38–45 (2001). https://doi.org/10.1023/A:1002883727424
Issue Date:
DOI: https://doi.org/10.1023/A:1002883727424