Green function for the Poisson equation in a general case of astrophysical interest

Anton A. Lipovka; Armando Meza

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arXiv · 1710.09273

Green function for the Poisson equation in a general case of astrophysical interest

Anton A. Lipovka·Armando Meza

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Abstract

In present paper we suggest exact solution of the Poisson problem which appears in frequently addressed applications regarding calculation of the gravitational potential of spiral galaxies. We suggest an analytical solution for the problem in cylindrical coordinates by using the finite integral transform technique. The final solution is presented as expansion on the eigenfunctions of the corresponding Sturm-Liouville problem. Green function of the problem is constructed.

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Anton A. Lipovka, Armando Meza. 2017-10-20. Green function for the Poisson equation in a general case of astrophysical interest. https://arxiv.org/abs/1710.09273

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