THE ROCHE PROBLEM: SOME ANALYTICS
@article{Seidov2004THERP, title={THE ROCHE PROBLEM: SOME ANALYTICS}, author={Zakir F. Seidov}, journal={The Astrophysical Journal}, year={2004}, volume={603}, pages={283-284} }
Exact analytical formulae are derived for the potential and mass ratio as a function of Lagrangian point positions, in the classical Roche model of close binary stars.
10 Citations
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Abstract
The concept of Roche equipotentials has been frequently used in literature to study the problems of rotating stars and stars in binary systems. However in spite of using this simplifying…
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References
SHOWING 1-10 OF 11 REFERENCES
TWO MATHEMATICAL EXPANSIONS OF THE ROCHE EQUIPOTENTIALS
- Physics
- 1994
Two mathematical series are given for the radius r of the Roche equipotential surface of a distorted binary star. It is shown that neither series is particularly accurate for very distorted (contact)…
Accurate integrations of the Roche model
- Physics
- 1984
Integration precise du modele de Roche pour des systemes binaires serres en rotation synchrone. On obtient le rayon du volume binaires, les surfaces, les gravites moyennes et les gravites moyennes…
A Simple Method for the Solution of the Stellar Structure Equations Including Rotation and Tidal Forces
- Physics, Geology
- 1970
In the following a method is presented for computing the internal structure of nonspherical stars assuming that the force per gram causing the deviation from spherical symmetry is conservative. The…
The ellipsoidal variable stars.
- Physics
- 1985
Bibliographie annotee de cette classe de binaires, methode d'analyse des courbes de lumiere, et information spectroscopique permettant de determiner les parametres physiques de tels systemes
Evolutionary Processes in Close Binary Systems
- Physics
- 1971
The structure and evolution of the stars constitute one of the main prob lems of modern astrophysics. Binary stars are so common that it is not pos sible to develop a comprehensive theory of…
ApJS
- ApJS
- 1984
Bull. Astr. Inst. Ch
- Bull. Astr. Inst. Ch
- 1964
Dordrecht: Reidel)
- Dordrecht: Reidel)
- 1970