Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006ap%26ss.302....7h&link_type=abstract
Astrophysics and Space Science, Volume 302, Issue 1-4, pp. 7-15
Astronomy and Astrophysics
Astrophysics
1
Methods, Nonlinear Science - Galaxies, Structure, Nonlinear Science &Ndash, Galaxies
Scientific paper
Galaxy image analysis indicates that for any spiral galaxy image of small inclination, there is evidence of two orthogonal sets of iso-ratio curves in different scales which, like curvilinear coordinate lines, expand over different galaxy components. This result sets a constraint on galaxy patterns and its description by partial differential equation system is presented in He (2003, 2004). In the current paper, the authors present the same model directly using curvilinear coordinates and reformulate the equation system in completely different and simpler forms. A family of general solutions of the analytic spiral model is found. The solutions do present spiral patterns. This analytic method on spiral pattern study may provide a quantitative scheme for galaxy pattern analysis and shed insights on the understanding of large-scale gravitational systems.
He Jin
Yang Xiaoli
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