A numerical technique for the solution of Poisson's equation for flattened, centrally condensed objects

Computer Science – Numerical Analysis

Scientific paper

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Computer Techniques, Gravitational Fields, Numerical Analysis, Poisson Equation, Stellar Gravitation, Stellar Models, Integral Equations, Self Consistent Fields, Stellar Rotation

Scientific paper

A computational method for obtaining the gravitational potential of an object with azimuthal and equatorial reflective symmetry is presented. The method is tested by comparison with a closed, analytic solution obtained for a class of flattened, centrally condensed spheroids. Additional comparison is made with the commonly used technique introduced by Ostriker and Mark in their calculations using the self-consistent field (SCF) method. It is found that the present method gives results with errors an order of magnitude smaller for highly centrally condensed structures while using less computer time and memory.

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