The Tensor VirialTheorem Including Viscous Stress and the Oscillations of a Maclaurin Spheroid
Abstract
The tensor virialtheorem is extended to include viscous stress. By using the virial method it is verified that a slightly viscous Maclaurin spheroid is unstable (with respect to secondharmonic deformations of the toroidal type) beyond the classical point of bifurcation (where the eccentricity of a meridional section exceeds 0 8127). The corresponding criteria operative in the case of a rotating, charged, liquid drop (of interest in nuclear fission theory) are discussed in the Appendix.
 Publication:

The Astrophysical Journal
 Pub Date:
 June 1967
 DOI:
 10.1086/149206
 Bibcode:
 1967ApJ...148..825R