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Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2008-3pp.250-258

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A.P. Markeyev, "Linear problems of the stability of a type of rotation of a satellite about the centre of mass," J. Appl. Math. Mech. 72 (3), 250-258 (2008)
Year 2008 Volume 72 Issue 3 Pages 250-258
Title Linear problems of the stability of a type of rotation of a satellite about the centre of mass
Author(s) A.P. Markeyev (Moscow, Russia, markeev@ipmnet.ru)
Abstract The stability in the first approximation of the rotation of a satellite about a centre of mass is investigated. In the unperturbed motion the satellite performs, in absolute space, three rotations around the normal to the orbital plane in a time equal to two periods of rotation of its centre of mass in the orbit (Mercury-type rotation). Three cases of such rotations are considered: the rotations of a dynamically symmetrical satellite and a satellite, the central ellipsoid of inertia of which is close to a sphere, in an elliptic orbit of arbitrary eccentricity, and the rotation of a satellite with three different principal central moments of inertia in a circular orbit.
Received 25 September 2007
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