The exterior gravitational potential of toroids

  title={The exterior gravitational potential of toroids},
  author={Jean-Marc Hur'e and B. Basillais and Vladim R Karas and Audrey Trova and O. Semer'ak},
  journal={Monthly Notices of the Royal Astronomical Society},
We perform a bivariate Taylor expansion of the axisymmetric Green function in order to determine the exterior potential of a static thin toroidal shell having a circular section, as given by the Laplace equation. This expansion, performed at the centre of the section, consists in an infinite series in the powers of the minor-to-major radius ratio $e$ of the shell. It is appropriate for a solid, homogeneous torus, as well as for inhomogeneous bodies (the case of a core stratification is… 


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