Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006ap%26ss.301..179r&link_type=abstract
Astrophysics and Space Science, Volume 301, Issue 1-4, pp. 179-184
Astronomy and Astrophysics
Astrophysics
Restricted Three-Body Problem, Close Binary System, Rotational Effect
Scientific paper
The synchronization between the orbital motion and axial rotation of the two component stars of a binary system is reviewed. Some previous published papers are mentioned and the general conclusion is outlined: If we shall use a rotating coordinate system synchronous with one of the two stellar axial rotations, it is not possible to obtain a Jacobi integral and the Roche geometry cannot be further analyzed. In addition, a theoretical approach is summarized in order to use the axial rotations of the two component stars, even if the constants of the stellar structure (k2)1, (k2)2must be taken into consideration. So it is found that if the stellar angular velocities are higher than the corresponding Keplerian angular velocity (ωi≫ ωk, i= overline{1,2}), the problem of the rotational effect could be of practical consideration. Finally, a theoretical relationship between the two constants (k2)1and (k2)2of the stellar structure is established.
Roman Rodica
Roman Sorin Adrian
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