Other
Scientific paper
Jun 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993mnras.262.1076c&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 262, no. 4, p. 1076-1086.
Other
14
Bessel Functions, Galactic Structure, Normal Density Functions, Stellar Motions, Celestial Mechanics, Poisson Equation, Potential Theory
Scientific paper
The paper extends the standard Bessel function formula for the potential of a thin axisymmetric disk to include arbitrary vertical structure, yielding a formula which reduces the potential to a single quadrature in the important cases of a disk with constant scale-height and other exponential or Gaussian vertical density profiles. A novel formulation for the potential of thin axisymmetric disks is also given. The potential is expressed as a double integral over elementary functions in the most general case, and can usually be reduced to a single quadrature. The potential corresponding to an arbitrary distribution of matter is given as an integral of a 4D Fourier transform, which reduces to a 4D Fourier transform in the case of triaxial disks.
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