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Mathematical Classification of the Spiral and Ring Galaxy Morphologies Based on the Fractional Trigonometry

[+] Author Affiliations
Carl F. Lorenzo

NASA Glenn Research Center, Cleveland, OH

Tom T. Hartley

University of Akron, Akron, OH

Paper No. DETC2015-46279, pp. V009T07A022; 19 pages
  • ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 9: 2015 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications
  • Boston, Massachusetts, USA, August 2–5, 2015
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5719-9
  • Copyright © 2015 by ASME


The ongoing development of the fractional trigonometry has created a new set of spiral functions, the fractional spiral functions. These spirals include both barred and normal spirals in a common formulation. This paper studies the applicability of the fractional spirals to the mathematical classification of spiral and ring galaxy morphologies. The fractional spirals are found to provide a high quality fit to a variety of ring and spiral galaxies over a significant range of the spiral length. Further, the rs character of the de Vaucouleurs classification is found to relate to particular parameters of the spirals. Additional benefits include; direct inference of galaxies inclination, estimates of major deviations of the galaxy optical center from the geometric center, and further application of the mathematical description of the galaxy morphology.

Copyright © 2015 by ASME



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