Applying the variational principle to the derivation of nonlinear equations of perturbed motion for the system bodyliquid
Abstract
The Ostrogradskii variational principle is applied systematically to the derivation of nonlinear equations describing the threedimensional motion of a rigid body with a liquidfilled cavity. The Lagrange function is selected in the form of two components, one component representing the kinetic potential of the body and the other being the pressure integral of the liquidfilled volume. For certain assumptions about the parameters characterizing the deviation of the free liquid surface, a system of linear equations of motion is obtained for the case of cavities formed by coaxial cylinders.
 Publication:

Spacecraft Dynamics and Space Exploration
 Pub Date:
 1986
 Bibcode:
 1986sdse.conf..182L
 Keywords:

 Equations Of Motion;
 Liquid Filled Shells;
 Perturbation Theory;
 Variational Principles;
 Cylinders;
 Kinetic Theory;
 LiquidSolid Interfaces;
 Nonlinear Equations;
 Three Dimensional Motion;
 Fluid Mechanics and Heat Transfer