A method to improve the computation of tidal potential in the equilibrium configuration of a close binary system

Abstract

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Design of a Mathematica package to develop the product of some spherical functions as linear combinations of themselves

“…It is advisable to develop, by using the Neumann series, the equipotential surfaces in series whose terms are spherical harmonics where f p , q ( a ) are amplitudes of order less than or equal to the small parameter ω 2 , where is the angular velocity vector of the system, and Y p , q ( θ , λ ) are the spherical harmonics in real form …”