## Stationary Motions and Stabilility of Flexible Satellites |

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### Contents

3 Kinetic energy | 15 |

4 The force function of gravitational forces of the cen | 23 |

5 Potential energy of flexible bodies | 34 |

Copyright | |

19 other sections not shown

### Common terms and phrases

above-written absolutely solid bodies angles angular velocity arbitrary point boundary conditions calculated center of mass circular orbit coefficients colinear components const cos2 curvilinear coordinates defined by formulas definitely positive deformable bodies denotes differential equations directional cosines displacement vector elastic bodies elastic displacement elastic elements elastic satellite equal equations of motion equilibrium position expressions flexible flexural flywheels force function frame gyrostat gyrostat-satellite inequalities integral characteristics kinetic energy kinetic moments lifted bodies Lyapunov functional metric middle plane moments of inertia natural boundary conditions orbit plane orbit radius orthogonal pair of plates parameters partial derivatives potential energy principal central axes projections quadratic form quadratic functional quantities radius-vector relationships respect rods rotational motion round plate satisfied second variation sign definability sin2 solution stationary motions substitute sufficient stability conditions symmetry axis system of coordinate tangent theorem thread tions unit vectors unperturbed motion values variables variational equations zero