On the stability of congruent DARWIN ellipsoids

Details On the stability of congruent DARWIN ellipsoids On the stability of congruent DARWIN ellipsoids

Dec 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975apj...202..803t&link_type=abstract

Astrophysical Journal, vol. 202, Dec. 15, 1975, pt. 1, p. 803-808. Research supported by the National Research Council of Canada

Astronomy and Astrophysics

Astrophysics

13

Binary Stars, Chandrasekhar Equation, Ellipsoids, Stellar Rotation, Roche Limit, Stellar Evolution, Stellar Mass, Stellar Structure, Systems Stability

Scientific paper

The problem of synchronous oscillations of congruent Darwin ellipsoids is reconsidered. Contrary to results obtained by Chandrasekhar, it is shown that along a Darwin sequence the configurations remain stable with respect to ellipsoidal disturbances until they become too closely spaced. The precise limit which separates stable from unstable systems is found. Apart from some minor differences the Darwin sequence is the exact analog of the Roche sequence.

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