Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974ap%26ss..26..447t&link_type=abstract
Astrophysics and Space Science, Volume 26, Issue 2, pp.447-476
Astronomy and Astrophysics
Astrophysics
13
Scientific paper
The aim of the present paper will be to derive the fundamental equations for rotation about the centre of gravity of a celestial body, consisting of material of arbitrary viscosity, in an external field. Euler's equations for a deformable body are set up in an inertial (or fixed) coordinate system without any restriction on the stress tensor. Application of these equations is made for a simple viscous fluid body. Then, the Eulerian equations are formulated explicitly for three-dimensional rotation of self-gravitating compressible celestial bodies of arbitrary structure, and the viscosity of their material is treated as an arbitrary function of spatial coordinates, with special respect to a description of the effects of tidal deformation in a close pair of such bodies.
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