Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974ap%26ss..31..349t&link_type=abstract
Astrophysics and Space Science, vol. 31, Dec. 1974, p. 349-362. Research supported by the Ministry of Sciences and Culture of Gr
Astronomy and Astrophysics
Astrophysics
Astronomical Models, Energy Dissipation, Gravitational Effects, Tides, Two Body Problem, Viscosity, Angular Velocity, Elastic Deformation, Orbital Elements, Rotating Bodies, Viscoelasticity
Scientific paper
The aim of the present paper is to derive an equation of dissipation of energy for a rotating body of arbitrary viscosity distorted by tides, which arise from the gravitational field of its companion in a close pair of such bodies. By a transformation of the fundamental equation of energy dissipation in terms of velocity of tidal deformation, the dissipation function is constructed for a tidally-distorted body. From this equation, the rate of dissipation of tidal energy is formulated for a nearly-spherical rotating body distorted by second harmonic longitudinal tides; the coefficients of viscosity (or the bulk modulus) are treated as arbitrary functions of spatial coordinates. Finally, expressions for the total energy dissipation within the orbital cycle are given for axial rotation of the distorted body, provided its angular velocity is constant.
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