A Study of the Structure of Rapidly Rotating Close Binary Systems

Details A Study of the Structure of Rapidly Rotating Close Binary Systems A Study of the Structure of Rapidly Rotating Close Binary Systems

Apr 1970

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1970ap%26ss...7..119m&link_type=abstract

Astrophysics and Space Science, Volume 7, Issue 1, pp.119-138

Astronomy and Astrophysics

Astrophysics

34

Scientific paper

A polytropic theory for investigating the structure of rapidly rotating close binary systems is developed on the basis of the works of Chandrasekhar (1933) and Monaghan and Roxburgh (1965). In this method each component is divided into an inner and outer region; it is shown that the inner region is the interior of the Emden sphere. Solutions for the interior and exterior potentials and densities are found, consistent to the seventh power of the ratio of the undistorted radius (a) to the separation (R); i.e.(a/R)7. The surface, surface gravity and potential are found. These results are used to discuss the critical configurations and contact equipotentials, and the existence of semi-detached and contact binary systems. The theory is compared to previous work, in particular the case of rotation alone and the Roche model.

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