Astronomy and Astrophysics – Astronomy
Scientific paper
Nov 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983sssmp..26.1198t&link_type=abstract
Scientia Sinica, Series A - Mathematical, Physical, Astronomical and Technical Sciences (ISSN 0253-5831), vol. 26, Nov. 1983, p.
Astronomy and Astrophysics
Astronomy
Density Wave Model, Galactic Structure, Gravitational Fields, Ground State, Potential Theory, Spiral Galaxies, Astronomical Models, Disk Galaxies, Galactic Rotation, Hankel Functions, Hypergeometric Functions, Integral Transformations, Milky Way Galaxy
Scientific paper
Density wave theory is used to determine the perturbed gravitational potential of three-dimensional spiral galaxies. The integral form of the gravitational potential for the ground state is derived using the Hankel transformation. A formula for the surface density is obtained by taking Toomre's galaxy rotation model and its corresponding form for projecting surface density modified for the galactic thickness. An analytic solution for the gravitational potential of the ground state for three-dimensional spiral galaxies is deduced and applied to calculate the potential at r = 10 kpc for the Galaxy. The result agrees well with observational data.
Peng Qian
Tong Yu
Wu Seongho
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