Journal of The Korean Astronomical Society (천문학회지)

The Korean Astronomical Society (한국천문학회)
권호 표지
DOI QR코드

DOI QR Code

STATISTICAL GAUSSIAN DISTRIBUTION FUNCTION AS A DISTANCE INDICATOR TO STELLAR GROUPS

  • Abdel-Rahman, H.I. (National Research Institute of Astronomy and Geophysics, Helwan) ;
  • Issa, I.A. (National Research Institute of Astronomy and Geophysics, Helwan) ;
  • Sharaf, M.A. (Department of Astronomy, Faculty of Science, King Abdul Aziz Univ.) ;
  • Nouh, M.I. (National Research Institute of Astronomy and Geophysics, Helwan) ;
  • Bakry, A. (Department of Astronomy, Faculty of Science Al-Azhar Univ.) ;
  • Osman, A.I. (Department of Astronomy, Faculty of Science Al-Azhar Univ.) ;
  • Saad, A.S. (National Research Institute of Astronomy and Geophysics, Helwan) ;
  • Kamal, F.Y. (Department of Astronomy, Faculty of Science Al-Azhar Univ.) ;
  • Essam, Essam (National Research Institute of Astronomy and Geophysics, Helwan)
  • Published : 2009.08.31
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, statistical distribution functions are developed for distance determination of stellar groups. This method depends on the assumption that absolute magnitudes and apparent magnitudes follow a Gaussian distribution function. Due to the limits of the integrands of the frequency function of apparent and absolute magnitudes, we introduce Case A, B, and C Gaussian distributions. The developed approaches have been implemented to determine distances to some clusters and stellar associations. The comparison with the distances derived by different authors reveals good agreement.

Keywords

References

  1. van den Berg, S., 1977, The Distance Scale Within the Local Group, IAU colloq., 37, 13
  2. Blaauw, A., 1973, The Calibration of Luminosity Criteria (survey Lecture), IAU Symp., 54, 47
  3. Blitz, L., 1979, The rotation curve of the Galaxy to R = 16 kiloparsecs, ApJ, 231, L115 https://doi.org/10.1086/183016
  4. Brown, A. G. A., Degeus, E. J., & Gezeeuw, P. T., 1994, The Orion OB1 association. 1: Stellar content, A&A, 289, 101
  5. Cousins, A. W. J., 1987, Secondary standards for the Stromgren UVBY system, SAAO Circ., 11, 93
  6. Crawford D. L., Barnes J. V., & Golson J. C., 1971, Four-color and Hbeta photometry for bright B-type stars in the southern hemisphere, AJ, 76, 621 https://doi.org/10.1086/111174
  7. Gascoigne, S. C. B., 1974, Metal abundance and the luminosities of cepheids, MNRAS, 166, 25 https://doi.org/10.1093/mnras/166.1.25P
  8. Gliese, W., 1978, Hertzsprung-Russell diagrams and color-luminosity diagrams for the stars nearer than twenty-two parsecs in The HR diagram - The 100th anniversary of Henry Norris Russell; Proceedings of the IAU Symposium 80, Washington, D.C., November 2-5, 1977. (A79-14326 03-89) Dordrecht, D. Reidel Publishing Co
  9. Hartwick, F. D. A. & Hutchings, J. B., 1978, Classical novae - A time-dependent optically thick wind model for the postmaximum phase, ApJ, 226, 203 https://doi.org/10.1086/156599
  10. Heck, A., 1978, Some methods of determining the stellar absolute magnitude, vistas in Astron., 22, 221 https://doi.org/10.1016/0083-6656(78)90018-1
  11. Iben, I., Jr. & Tuggle, R, S., 1975, On the intrinsic properties of cepheids in the galaxy, in Andromeda, and in the Magellanic Clouds, ApJ, 197, 39 https://doi.org/10.1086/153486
  12. Issa, I. A., 1980, On the dust content of nearby galaxies, AN, 301, 177 https://doi.org/10.1002/asna.2103010406
  13. Issa, I. A., 1981, The size distribution of HII regions as a new variant to determine the distances of galaxies, AN, 302, 251 https://doi.org/10.1002/asna.2103020509
  14. Issa, I. A., 1982, The amount of dust and the distance of NGC 253, AN, 303, 127 https://doi.org/10.1002/asna.2103030207
  15. Issa, I. A., 1985, Distance estimate of M31 based on the size distribution of H II regions and dark clouds, Astrophysics and Space Science, 113, 317 https://doi.org/10.1007/BF00650966
  16. Jenkins, L. F., 1952, General catalogue of trigonometric stellar parallaxes, Yale university press
  17. Kaltcheva, N. T., 1998, Stromgren and H photometry of OB stars in the region of the Carina Spiral Feature, A&AS, 128, 309 https://doi.org/10.1051/aas:1998143
  18. Loktin, A. V., Gerasimenko, T. P., & Malisheva, L. K., 2001, The catalogue of open cluster parameterssecond version, A&AT, 20, 607 https://doi.org/10.1080/10556790108221134
  19. Lynden-Bell, D., Faber, S. M., Burstein, David, Davies, Roger L., Dressler, Alan, Terlevich, R. J.,& Wegner, Gary, 1988, Spectroscopy and photometry of elliptical galaxies. V - Galaxy streaming toward the new supergalactic center, ApJ, 326, 19 https://doi.org/10.1086/166066
  20. Malmquist, K. G., 1922, Jour. Medd. Lund Astron. Obs. Ser. II, 32, 64
  21. Martin, W. L., Warren, P. R., & Feast, M. W., 1979, Multicolour photoelectric photometry of Magellanic Cloud Cepheids. II - an analysis of BVI observations in the LMC, MNRAS, 188, 139 https://doi.org/10.1093/mnras/188.1.139
  22. Mihalas, D. & Binney, J., 1981, Galactic Astronomy, 2nd Ed. Freeman, San Francisco
  23. Perry C. L., Olsen E. H., & Crawford D. L., 1987, A catalog of bright UVBY beta standard stars, PASP, 99, 1184 https://doi.org/10.1086/132103
  24. Ramsay, G. & Pollaco, D. L., 1992, CCD observations in 7 open clusters - NGC2421, NGC2439, NGC2489, NGC2567, NGC2627, NGC2658 and NGC2910, A&AS, 94, 73
  25. Sandage, A. & Tammann, G. A., 1971, Absolute Magnitudes of Cepheids. III. Amplitude as a Function of Position in the Instability Strip: a Period-Luminosity Relation, ApJ, 167, 293 https://doi.org/10.1086/151031
  26. Sharaf, M. A., Issa, I. A., & Saad, A. S., 2003, A method for the determination of cosmic distances, New Astronomy, 8, 15 https://doi.org/10.1016/S1384-1076(02)00198-7
  27. Sharaf, M. A., Abdel-Rahman, Helal I., Nouh, M. I., Saad, A. S., Osman, A. I., Ahmed, A. B., Mohanna, M., & Issa, I. A., 2007, Journal of the Astronomical Society of Egypt, Vol. 14/ii, pp24-33
  28. Tadross, A. L., Werner, P., Osman, A., & Marie, M., 2002, Morphological analysis of open clusters' propertiesII. Relationships projected onto the galactic plane, New Astronomy, 7, 553 https://doi.org/10.1016/S1384-1076(02)00172-0
  29. Vaucoulers, G., de, 1979, The extragalactic distance scale. VI - Distances of 458 spiral galaxies from tertiary indicators, ApJ, 227, 729 https://doi.org/10.1086/156783
  30. Vazquez, R. A. & Will, J. M., 1995, A detailed study of the open cluster PISMIS 20, A&AS, 111, 85
  31. Vazque, R. A. & Baume, G., 1996, Investigation on the region of the open cluster TR 14, A&AS, 116, 75
  32. Willick, J. 1991, Calibration of the CCD Tully-Fisher relation with application to the Perseus-Pisces supercluster, PhD. thesis, University of California, Berkeley
  33. Wilson, O. C. & Bappu, M. K. V., 1957, H and K Emission in Late-Type Stars: Dependence of Line Width on Luminosity and Related Topics, ApJ, 125, 661 https://doi.org/10.1086/146339

Cited by

  1. Statistical exponential distribution function as distance indicator to stellar groups vol.1, pp.2, 2012, https://doi.org/10.1016/j.nrjag.2012.12.001