Surface Photometry and Dynamical Properties of Lenticular Galaxies: NGC3245 as Case Study

Mohamed Adel Sharaf, K. Mahmoud, E. Aly, A. A. Alshaery

Astronomy Department, Faculty of Science, King Abdul Aziz University, Jeddah, Saudi Arabia.
Astronomy, Space Science, Meteorology Department, Faculty of Science, Cairo University, Giza, Egypt.
Mathematics Department, College of Science for Girls, King Abdul Aziz University, Jeddah, Saudi Arabia.
Physics Department, National Research Center, Giza, Egypt.

DOI: 10.4236/ijaa.2012.21007                

Abstract

In this paper, surface photometry and dynamical properties of Lenticular galaxies will be developed and applied to NGC3245. In this respect, we established new relation between the intensity distribution I and the semi-major axis a Moreover, some basic statistics of both independent and the dependent variables of the relation are also given. In addition to the I(a) relation , the Sérsic r^1/n model is applied for the intensity profile I(r) resulting in an estimation of the effective radius, re, and the surface brightness it encloses, μe. Both relations (I(a) and I(r)) are accurate as judged by the precision criteria which are: the probable errors for the coefficients , the estimated variance of the fit and the Q value (the square distance between the exact solution and the least square estimated solution) where all very satisfactory. Correlation coefficients between some parameters of the isophotes are also computed. Finally as examples of applications of surface photometry we determined the dynamical properties: mass, density, potential distributions, as well as distributions of escape and circular speeds in terms of Sérsic model.

Keywords

Surface Photometry; Dynamical Galaxies

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	R. H. Reynolds, “The Light Curve of the Andromeda Nebula (NGC 224),” Monthly Notices of the Royal Astronomical Society, Vol. 74, 1913, pp. 132-136.
[2]	S. Okamura, “Surface Photometry of Galaxies,” Publications of the Astronomical Society of the Pacific, Vol. 100, No. 627, 1988, pp. 524-544. doi:10.1086/132201
[3]	H. Wu, Z. Shao, H. J. Mo, X. Xia and Z. Deng, “Optical and Near-Infrared Color Profiles in Nearby Early-Type Galaxies and the Implied Age and Metallicity Gradients,” The Astrophysical Journal, Vol. 622, No. 1, 2005, pp. 244-259. doi:10.1086/427821
[4]	L. Searle, W. L. W. Sargent and W. G. Bagnuolo, “The History of Star Formation and the Colors of Late-Type Galaxies,” The Astrophysical Journal, Vol. 179, 1973, pp. 427-438. doi:10.1086/151882
[5]	R. F. Peletier, E. A. Valentijn, A. F. M. Moorwood and W. Freudling, “The Distribution of Dust in Sb’s and Sc’s—K-Band Infrared Imaging of a Diameter Limited Sample of 37 Galaxies,” Astronomy and Astrophysics Supplement, Vol. 108, 1994, pp. 621-641.
[6]	D. R. Silva and R. Elston, “Probing Radial Age/Me- tallicity Degeneracy in Early-Type Galaxies,” The Astrophysical Journal, Vol. 428, No. 2, 1994, pp. 511-543. doi:10.1086/174263
[7]	A. S. Gusev, “Multicolor CCD Photometry of Six Lenticular and Spiral Galaxies. Stellar Population of the Galaxies,” Astronomy Reports, Vol. 50, No. 3, 2006, pp. 182- 193.
[8]	R. Evans, “The Variation of the Scalelengths of Galaxies at Different Wavelengths,” Monthly Notices of the Royal Astronomical Society, Vol. 266, No. 2, 1994, pp. 511- 523.
[9]	R. F. Peletier, E. A. Valentijn, A. F. M. Moorwood, W. Freudling, J. H. Knapen and J. E. Beckman, “The Extinction by Dust in the Outer Parts of Spiral Galaxies,” Astronomy & Astrophysics, Vol. 300, No. 1, 1995, p. L1.
[10]	R. S. de Jong, “Near-Infrared and Optical Broadband Surface Photometry of 86 face-on Disk Dominated Galaxies. III. The Statistics of the Disk and Bulge Parameters,” Astronomy & Astrophysics, Vol. 313, 1996, pp. 45-64.
[11]	K. Ganda, R. F. Peletier, M. Balcells and J. Falcón-Barroso, “The Nature of Late-Type Spiral Galaxies: Structural Parameters, Optical and Near-Infrared Colour Profiles and Dust Extinction,” Monthly Notices of the Royal Astronomical Society, Vol. 395, No. 3, 2009, pp. 1669-1694. doi:10.1111/j.1365-2966.2009.14658.x
[12]	J. A. L. Aguerri, A. M. Varela, M. Prieto and C. Mu?oz-Tu?ón, “Optical Surface Photometry of a Sample of Disk Galaxies. I. Observations and Data Reduction,” AJ, Vol. 119, No. 4, 2000, pp. 1638-1644.
[13]	L. A. M. Tasca and S. D. M .White, “Quantitative Morphology of Galaxies from the SDSS. I. Luminosity in Bulges and Discs,” Astronomy & Astrophysics, Vol. 530, 2011, p. 106.
[14]	W. Freudling, “A Package for Surface Photometry of Galaxies,” Proceedings of 5th ESO/ST-ECF Data Analysis Workshop, Garching, 26-27 April 1993, p. 27.
[15]	E. Pignatelli, G. Fasano and P. Cassata, “GASPHOT: A Tool for Galaxy Automatic Surface PHOTometry,” Astronomy & Astrophysics, Vol. 446, No. 1, 2006, pp. 373- 388.
[16]	C. Y. Peng, L. C. Ho, C. D. Impey and H. Rix, “Detailed Structural Decomposition of Galaxy Images,” The Astrophysical Journal, Vol. 124, No. 1, 2002, pp. 266-293.
[17]	F. R. Marleau and L. Simard, “Quantitative Morphology of Galaxies in the Hubble Deep Field,” The Astrophysical Journal, Vol. 507, No. 2, 1998, pp. 585-600. doi:10.1086/306356
[18]	R. I. Jedrzejewski, “CCD Surface Photometry of Elliptical Galaxies. I-Observations, Reduction and Results,” Monthly Notices of the Royal Astronomical Society, Vol. 226, No. 1, 1987, pp. 747-768.
[19]	B. Milvang-Jensen and I. J?rgensen, “Galaxy Surface Photometry,” Baltic Astron, Vol. 8, 1999, pp. 535-574.
[20]	A. Sandage, “The Hubble Atlas of Galaxies,” Carnegie Institution of Washington, Washington, 1961.
[21]	G. De Vaucouleurs and A. De Vaucouleurs, “Reference Catalogue of Bright Galaxies,” University of Texas, Austin, 1964.
[22]	A. Sandage and J. Bedke, “The Carnegie Atlas of Galaxies,” Vol. I, Carnegie Institution of Washington, Washington, 1994.
[23]	J. Hu, “The Black Hole Mass-Stellar Velocity Dispersion Correlation: Bulges versus Pseudo-Bulges,” Monthly Notices of the Royal Astronomical Society, Vol. 386, No. 4, 2008, pp. 2242-2252. doi:10.1111/j.1365-2966.2008.13195.x
[24]	J. L. Tonry, A. Dressler, J. P. Blakeslee, E. A. Ajhar, A. B. Fletcher, G. A. Luppino, M. R Metzger and C. B. Moore, “The SBF Survey of Galaxy Distances. IV. SBF Magnitudes, Colors, and Distances,” The Astrophysical Journal, Vol. 546, No. 2, 2001, pp. 681-693. doi:10.1086/318301
[25]	A. J. Barth, M. Sarzi, H. Rix, L. C. Ho, A. V. Filippenco and W. W. Sargent, “Evidence for a Supermassive Black Hole in the S0 Galaxy NGC 3245,” The Astrophysical Journal, Vol. 555, No. 2, 2001, pp. 685-708. doi:10.1086/321523
[26]	Z. Kopal and M. A. Sharaf, “Linear Analysis of the Light Curves of Eclipsing Variables,” Astrophysics and Space Science, Vol. 70, No. 1, 1980, pp. 77-101.
[27]	J. Meeus, “Astronomical Algorithms,” Willmann-Bell, Inc., Richmond, 2000.
[28]	G. E. P. Box and G. M. Jenkins, “Time Series Analysis, Forecasting and Control,” Holden-Day, San Francisco, 1976.
[29]	J. L. Sérsic, “Atlas de Galaxies Australes,” Observatorio Astronomico, Cordoba, 1968.
[30]	J. L. Sérsic, “Influence of the Atmospheric and Instrumental Dispersion on the Brightness Distribution in a Galaxy,” Boletin de la Asociacion Argentina de Astronomia, Vol. 6, 1963, p. 41.
[31]	A. W. Graham and S. P. Driver, “A Concise Reference to (Projected) Sérsic R1/n Quantities, Including Concentration, Profile Slopes, Petrosian Indices, and Kron Magnitudes,” Publications of the Astronomical Society of Australia, Vol. 22, No. 2, 2005, pp. 118-127. doi:10.1071/AS05001
[32]	F. Jiang, S. Huang and Q. Gu, “Surface Photometry and Radial Color Gradients of Nearby Luminous Early-Type Galaxies in SDSS Stripe 82,” Research in Astronomy and Astrophysics, Vol. 11, No. 3, 2011, pp. 309-326.
[33]	N. Caon, M. Capacciolo and M. D’Onofrio, “On the Shape of the Light Profiles of Early Type Galaxies,” Monthly Notices of the Royal Astronomical Society, Vol. 265, No. 4, 1993, p. 1013.