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Numerical computation of gravitational field of infinitely-thin axisymmetric disc with arbitrary surface mass density profile and its application to preliminary study of rotation curve of M33

Published online by Cambridge University Press:  30 October 2019

Toshio Fukushima Open the ORCID record for Toshio Fukushima [Opens in a new window]
Toshio Fukushima*
Affiliation:
National Astronomical Observatory of Japan / SOKENDAI, 2-21-1, Ohsawa, Mitaka, Tokyo, 181-8588, Japan email: Toshio.Fukushima@nao.ac.jp
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Abstract

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We developed a numerical method[-70pt] to compute the gravitational field of an infinitely-thin axisymmetric disc with an arbitrary surface mass density profile. We evaluate the gravitational potential by a split quadrature using the double exponential rule and obtain the acceleration vector by numerically differentiating the potential by Ridders’ algorithm. By using the new method, we show the rotation curves of some non-trivial discs: (i) truncated power-law discs, (ii) discs with a non-negligible center hole, (iii) truncated Mestel discs with edge-softening, (iv) double power-law discs, (v) exponentially-damped power-law discs, and (vi) an exponential disc with a sinusoidal modulation of the density profile. Also, we present a couple of model fittings to the observed rotation curve of M33: (i) the standard deconvolution by assuming a spherical distributin of the dark matter and (ii) a direct fit of infinitely-thin disc mass with a double power-law distribution of the surface mass density.

Keywords

galaxygravitation
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 14 , Symposium S344: Dwarf Galaxies: From the Deep Universe to the Present , August 2018 , pp. 276 - 279
Copyright
© International Astronomical Union 2019 

References

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