Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979acasn..20...65h&link_type=abstract
Acta Astronomica Sinica, vol. 20, Mar. 1979, p. 65-72. In Chinese, with abstract in English.
Astronomy and Astrophysics
Astronomy
Density Wave Model, Galactic Structure, Poisson Equation, Spiral Galaxies, Wave Dispersion, Asymptotic Methods, Gravitational Effects, Thickness, Three Dimensional Motion
Scientific paper
A first-order asymptotic solution to the three-dimensional gravitational-potential Poisson equation is used to simulate a three-dimensional stellar disk. Motion perpendicular to the disk and the three-dimensional distribution of physical parameters are considered, the corresponding dispersion equation is obtained, and it is shown that the wavelengths of density waves between the inner Lindblad resonance circle and the Lindblad corotation circle increase with increasing distance from the disk (i.e., galactic) surface. Calculations of the galactic spiral arm indicate that the wave equation in the galactic surface agrees with observations and that the density-wave wavelengths above and below the surface increase with increasing distance from that surface. The wavelength variation with height is explained in terms of the very great widths of the arms in many spiral galaxies, unclear boundaries between the optical spiral arms in most galaxies, and a density decrease with height.
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