Equi-density surfaces in synchronously rotating close binaries built on polytropic model ν=3

A direct numerical method, involving no perturbational procedures, is described and used for the computation of the surfaces of constant potential, pressure and density in synchronously rotating close binaries with both components built on polytropic model =3.Originally presented at the IAU Colloquium No. 16 held at the University of Pennsylvania, Philadelphia, U.S.A., September 8–11, 1971.Part of this work was done while in residence as a member of the Institute for Advanced Study, Princeton, N.J.