Fractal structure of the Horsehead nebula (B 33)

Details Fractal structure of the Horsehead nebula (B 33) Fractal structure of the Horsehead nebula (B 33)

Apr 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003a%26a...401..193d&link_type=abstract

Astronomy and Astrophysics, v.401, p.193-196 (2003)

Astronomy and Astrophysics

Astrophysics

6

Ism: Clouds, Ism: General

Scientific paper

Analysis of the CCD image of the Horsehead nebula (B 33), taken in the H alpha (6561 Å) using the 2.34 m Vainu Bappu Telescope (VBT) at Kavalur, India, is performed to test its fractal structure. Ten sample readings of the box dimension of this image were taken using a fractal analysis software, giving an average value of 1.6965725. The sample dimensions were found to be different from the topological dimension of one. Importantly, the box dimension of B 33 was not found to be significantly different from that of the Julia set (box dimension 1.679594) with c = -0.745429 + 0.113008i. This provides compelling evidence to show that the structure of the Horsehead nebula is not only fractal, but also that its geometry can be described by the Julia function f(z) = z2 + c, where both z and c are complex numbers.

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