Statistical Simulations of Galactic Planetary Nebulae

M. A. Sharaf^1, , A. S. Saad^{2, 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

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

Abstract

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.

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

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