Clairaut coordinates and the vibrational stability of distorted stars

Details Clairaut coordinates and the vibrational stability of distorted stars Clairaut coordinates and the vibrational stability of distorted stars

Jul 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980ap%26ss..70..407k&link_type=abstract

Astrophysics and Space Science, vol. 70, no. 2, July 1980, p. 407-424.

Astronomy and Astrophysics

Astrophysics

14

Astronomical Coordinates, Binary Stars, Dynamic Stability, Gravitational Effects, Roche Limit, Coordinate Transformations, Oscillations, Partial Differential Equations, Stellar Rotation

Scientific paper

The concept of Roche coordinates (Kopal, 1969, 1970, 1971) is generalized to Clairaut's coordinates, in which the Roche potential of a rotating dipole is replaced by the actual potential of configurations of finite density concentration and arbitrary structure. The explicit form of the fundamental equations of stellar hydrodynamics are set up in Clairaut's coordinates and linearized to the case of small oscillations. Attention is given to the problem of the vibrational stability of distorted components in close binary systems. In addition, a critical comparison of the Clairaut and Roche coordinates is made, noting that unlike the Roche, the Clairaut coordinates do not constitute an orthogonal system.

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