6533b822fe1ef96bd127cc8b

RESEARCH PRODUCT

Figures of equilibrium in close binary systems

J. A. López OrtíJ. A. López OrtíA. López GarcíaR. López Machí

subject

Applied MathematicsMathematical analysisfigure of celestial bodiesspherical harmonicsBinary numberSpherical harmonicsAstronomy and AstrophysicsIntegral equationCelestial mechanicsComputational MathematicsClassical mechanicsSpace and Planetary ScienceModeling and SimulationOrdinary differential equationPoisson equationsclose binary starsBoundary value problemPoisson's equationReduction (mathematics)Mathematical PhysicsMathematics

description

The equilibrium configurations of close binary systems are analyzed. The autogravitational, centrifugal and tidal potentials are expanded in Clairaut's coordinates. From the set of the total potential angular terms an integral equations system is derived. The reduction of them to ordinary differential equations and the determination of the boundary conditions allow a formulation of the problem in terms of a single variable.

https://doi.org/10.1007/bf00051813