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A precise estimation method for locations in an inverse logarithmic potential problem for point mass models. (English) Zbl 0807.70003
Summary: A numerical method is discussed for an inverse logarithmic potential problem for a point mass model. We first show the relation between locations of point masses and Fourier expansion of the logarithmic potential, and show a method using discrete Fourier coefficients. Next a modified method is proposed based on a property of the discrete Fourier transform of the logarithmic potential. We give error estimates for our modified method, and compare it with the method using only discrete Fourier coefficients. Numerical examples illustrate the applicability and advantages of our modified method.

##### MSC:
 70F99 Dynamics of a system of particles, including celestial mechanics
##### Keywords:
Fourier expansion; discrete Fourier transform
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##### References:
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