THE PRECESSION AND NUTATION OF DEFORMABLE BODIES II: THE FORM OF DISTORTED CONFIGURATIONS,
BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB
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In the preceding report of this series the Eulerian equations for the precession and nutation of self-gravitating deformable bodies have been set up, with coefficients expressible in terms of the displacement components arising from deformation which may oscillate with the time. The aim of the present report will be to derive an explicit form of the equations which govern the deformations of self-gravitating viscous bodies in an external field of force and to solve them in the particular case of a homogeneous compressible configuration of arbitrarily high viscosity. A possession of such a solution then opens the way for the evaluation of the coefficients of the generalized equations for the precession and nutation of deformable bodies, and to their eventual solution.
- Celestial Mechanics