Stability of tidal equilibrium

Details Stability of tidal equilibrium Stability of tidal equilibrium

Dec 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980a%26a....92..167h&link_type=abstract

Astronomy and Astrophysics, vol. 92, no. 1-2, Dec. 1980, p. 167-170.

Astronomy and Astrophysics

Astrophysics

102

Binary Stars, Celestial Mechanics, Dynamic Stability, Stellar Evolution, Stellar Oscillations, Stellar Rotation, Angular Momentum, Equilibrium, Orbital Elements, X Ray Sources

Scientific paper

It is proved rigorously that a binary system can be in tidal equilibrium only if coplanarity, circularity and corotation have been established. A complete analysis is given of the stability of this equilibrium against general perturbations. Stability occurs only if the orbital angular momentum exceeds the sum of the spin angular momenta of the stars by more than a factor of three. This condition is identical to the criterium for stability against perturbations of corotation only, as given by Counselman (1973).

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