On the construction of Roche harmonics

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Binary Stars, Boundary Integral Method, Harmonic Functions, Roche Limit, Boundary Value Problems, Laplace Equation, Stellar Models

Scientific paper

A method involving boundary integral equations of the first kind is proposed for obtaining exact representations for solutions to interior and exterior harmonic problems. It is noted that the method is constructive and that a representation can be obtained to any degree of accuracy. The determination of Roche harmonics is seen as a special case.

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