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

Copyright

This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References

[1]	Ali A., Sabin L., Snaid S. and Basurah H. M., “Interacting planetary nebulae. I. Classification and orientation”, A & A 541, p. 1-10, 2012.
[2]	Jacoby, George. H., Ferland, Gary. J. and Korista, Kirk T., “The Planetary Nebula A39: An Observational Benchmark for Numerical Modeling of Photoionized Plasmas”, Ap. J. 560(1): 272-86, 2001.
[3]	Kwitter, K. B. et al., “The Present and Future of Planetary Nebulae Research”, A White Paper by the IAU. Planetary Nebula Working Group, Revista Mexicana de Astronom´ıa y Astrof´ısica, 50, 203-223, 2014.
[4]	Kwok, Sun, and Su, Kate Y. L., “Discovery of Multiple Coaxial Rings in the Quadrupolar Planetary Nebula NGC 6881”, Ap. J. 635 (1): L49-52, 2005.
[5]	Kwok, Sun, “The origin and evolution of planetary nebulae”, Cambridge University Press, 2000.
[6]	Liu, J.-C., Zhu, Z. and Zhang, H., “Reconsidering the Galactic coordinate system”, A & A, 526 A16, p. 1-7, 2011.
[7]	Majaess, D. J., Turner, D. and Lane, D., “In Search of Possible Associations between Planetary Nebulae and Open Clusters”, PASP 119 (862): 1349-6, 2007.
[8]	Osterbrock, Donald E. and Ferland, G. J., Ferland, G. J., ed., Astrophysics of gaseous nebulae and active galactic nuclei, University Science Books, 2005.
[9]	Parker, Quentin, A. et al., “The Macquarie/AAO/Strasbourg Hα Planetary Nebula Catalogue: MASH”, MNRAS, 373 (1): 79-94, 2006.
[10]	Ralston, A. and Rabinowitz, P., “A First Course in Numerical Analysis”, McGraw-Hill Kogakusha, Ltd., Tokyo, 1978.
[11]	Rees, B. and Zijlstra, A. A., “Alignment of the Angular Momentum Vectors of Planetary Nebulae in the Galactic Bulge”, MNRAS, 435(2), 975-991, 2013.
[12]	Sharaf, M. A., “Determination of a Celestial Plane Orientation: Application to Milky Way”, ROAJ, 18, no. 1, p. 61-67, 2008.
[13]	Schneider, P., “Extragalactic Astronomy and Cosmology: An Introduction”, Berlin, Springer, 2006.
[14]	Stasinska, G., Gorny, S. K, and Tylenda, R., “On the mass distribution of planetary nebulae central stars”, A & A, 327, p.736-742, 1997.
[15]	Martinez, Vicent J., and Saar, Enn, “Statistics of the Galaxy Distribution”, CRC Press, 2001.