Evolution of the rotation of a symmetrical satellite containing a spherical cavity filled with a viscous fluid.

Physics – Fluid Dynamics

Scientific paper

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Satellites: Rotation, Satellites: Fluid Dynamics

Scientific paper

The rotational motion of a symmetrical satellite containing a spherical cavity filled with a viscous fluid is investigated. The center of mass of the system is assumed to move along a circular orbit in a central Newtonian force field. The evolution equations are derived by an asymptotic method of separation of motions and averaging in canonical Andoyer variables. The third-approximation equations are used to analyze the stability of steady-state rotations. The problem of the motion of a rigid body with a fluid-filled cavity has been investigated by many authors.

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