Local density-potential relation for spiral density waves in galaxies

Details Local density-potential relation for spiral density waves in galaxies Local density-potential relation for spiral density waves in galaxies

Jun 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979sjam...36..407b&link_type=abstract

SIAM Journal on Applied Mathematics, vol. 36, June 1979, p. 407-420. Research supported by the European Space Agency

Mathematics

9

Asymptotic Methods, Density Wave Model, Galactic Structure, Gravitational Effects, Mass Distribution, Spiral Galaxies, Astronomical Models, Disks (Shapes), Self Consistent Fields, Series Expansion

Scientific paper

A local relation between the surface density and the gravitational potential for a disk distribution of mass is derived. The solution is explicitly evaluated and discussed in view of its relevance to recent developments in the density wave theory of the spiral structure in galactic dynamics. This formal asymptotic solution has been tested numerically and found to be rather accurate even when the radial wavelengths are no longer so short (i.e., relatively open spirals).

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