 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11262 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3251 |
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| << Previous article | Volume 55, Issue 7 / 2020 | Next article >> |
| Markeev A.P., "On the Stability of Steady Rotation of a Satellite around the Normal to the Orbital Plane," Mech. Solids. 55 (7), 947-957 (2020) |
| Year |
2020 |
Volume |
55 |
Number |
7 |
Pages |
947-957 |
| DOI |
10.3103/S0025654420070146 |
| Title |
On the Stability of Steady Rotation of a Satellite around the Normal to the Orbital Plane |
| Author(s) |
Markeev A.P. (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia; Moscow Aviation Institute, Moscow, 125080 Russia, anat-markeev@mail.ru) |
| Abstract |
We study the rotational motion of a satellite (a rigid body) around the center of mass in a
central Newtonian gravitational field in a circular orbit. The stability problem of a steady motion is
solved for the case when the symmetry axis of the satellite is perpendicular to the orbital plane, and the
satellite itself rotates about the symmetry axis with a constant angular velocity (cylindrical precession).
The problem depends on two parameters, the dimensionless value of the absolute angular velocity of
rotation of the satellite and the ratio of its axial and equatorial moments of inertia. The rigorous stability and instability conclusions were obtained for the parameter values that were not previously studied. Together with the known results of domestic and foreign authors, these conclusions give a rigorous
and complete solution to the stability problem of the cylindrical precession of the satellite in a circular
orbit for all values of the problem parameters. |
| Keywords |
rigid body, precession, stability |
| Received |
21 May 2019 | Revised |
16 September 2019 | Accepted |
01 October 2019 |
| Link to Fulltext |
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