American Journal of Applied Mathematics and Statistics
ISSN (Print): 2328-7306 ISSN (Online): 2328-7292 Website: Editor-in-chief: Mohamed Seddeek
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American Journal of Applied Mathematics and Statistics. 2015, 3(2), 71-75
DOI: 10.12691/ajams-3-2-5
Open AccessArticle

Statistical Simulations of Galactic Planetary Nebulae

M. A. Sharaf1, , A. S. Saad2, 3 and J. A. Basabrain4

1Department of Astronomy, Faculty of Science, King Abdulaziz University, Jeddah, KSA

2Department of Astronomy, National Research Institute of Astronomy and Geophysics, Cairo, Egypt

3Department of Mathematics, Preparatory Year, Qassim University, Buraidah, KSA

4Department of Statistics College of Science for Girls, King Abdulaziz University, KSA

Pub. Date: April 14, 2015

Cite this paper:
M. A. Sharaf, A. S. Saad and J. A. Basabrain. Statistical Simulations of Galactic Planetary Nebulae. American Journal of Applied Mathematics and Statistics. 2015; 3(2):71-75. doi: 10.12691/ajams-3-2-5


In the present paper, two catalogues J/A+A/327/736 and J/A+A/541/A98 of VizieR database were used for the statistical simulations of galactic planetary nebulae. Each catalogue was utilized for certain purposes, the first catalogue for, the correlation coefficients between the entireties of the data, the determination of the position of the maximum (minimum) of each entry in the data together with the values of the other entries at this position. In addition, we deuced the histograms and descriptive, location, dispersion and shape statistics for the entries of the data. Finally, the best fit and its error analysis was established between LH &LR where LH is the logarithm of HI Zanstrs luminosity and LR is the logarithm of nebular radius. The second catalogue was used to display two-dimensional distributions of the interacting planetary nebulae, moreover IAU and other references used the equatorial coordinates of these nebulae to determine the equatorial coordinates of the north galactic pole (NGP). The results of this application are in good agreement with those given.

statistical simulations of planetary nebulae two-dimensional distributions of the interacting planetary nebulae equatorial coordinates of the north galactic pole

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