DOI QR코드

DOI QR Code

NEW ORBITAL PARAMETERS AND RADIAL VELOCITY CURVE ANALYSIS OF SPECTROSCOPIC BINARY STARS

  • Ghaderi, Kamal (Department of Science and Engineering, Islamic Azad University) ;
  • Pirkhedri, Ali (Department of Science and Engineering, Islamic Azad University) ;
  • Rostami, Touba (Department of Science and Engineering, Islamic Azad University) ;
  • Khodamoradi, Salem (Department of Science and Engineering, Islamic Azad University) ;
  • Fatahi, Hedayat (Department of Science and Engineering, Islamic Azad University)
  • Received : 2011.12.01
  • Accepted : 2011.12.26
  • Published : 2012.02.29

Abstract

We use a Probabilistic Neural Network (PNN) technique to derive the orbital parameters of spectroscopic binary stars. Using measured radial velocity data of five double-lined spectroscopic binary systems (i.e., EQ Tau, V376 And, V776 Cas, V2377 Oph and EE Cet), we find the corresponding orbital and spectroscopic elements. Our numerical results are in good agreement with those obtained by other groups via more traditional methods.

Keywords

References

  1. Bazarghan, M., Safari, H., Innes, D. E., Karami, E., & Solanki, S. K. 2008, A Nanoflare Model for Active Region Radiance: Application of Artificial Neural Networks, A&A, 492, L13 https://doi.org/10.1051/0004-6361:200810911
  2. Curtis, H. D. 1908, Methods of Determining the Orbits of Spectroscopic Binaries, PASP, 20, 133 https://doi.org/10.1086/121808
  3. Han, Z., Tout, C. A., & Eggleton, P. P. 2000, Low and Intermediate-Mass Close Binary Evolution and the Initial - Final Mass Relation, MNRAS, 319, 215 https://doi.org/10.1046/j.1365-8711.2000.03839.x
  4. Karami, K., & Mohebi, R. 2007a, Velocity Curve Analysis of Spectroscopic Binary Stars AI Phe, GM Dra, HD 93917 and V502 Oph by Nonlinear Regression, ChJAA, 7, 558
  5. Karami, K., & Mohebi, R. 2007b, Velocity Curve Analysis of Spectroscopic Binary Stars PV Pup, HD141929, EE Cet and V921 Her by Nonlinear Regression, JApA, 28, 217
  6. Karami, K., & Teimoorinia, H. 2007, Velocity Curve Analysis of the Spectroscopic Binary Stars by the Non-linear Least Squares, Ap&SS, 311, 435 https://doi.org/10.1007/s10509-007-9578-5
  7. Karami, K., Mohebi, R., & Soltanzadeh, M. M. 2008, Application of a New Non-Linear Least Squares Velocity Curve Analysis Technique for Spectroscopic Binary Stars, Ap&SS, 318, 69 https://doi.org/10.1007/s10509-008-9905-5
  8. Karami, K., & Mohebi, R. 2009, Velocity Curve Stud- ies of Spectroscopic Binary Stars V380 Cygni, V401 Cyg, V523 Cas, V373 Cas, and V2388 Oph, JApA, 30, 153
  9. King, W. F. 1908, Determination of the Orbits of Spectroscopic Binaries, ApJ, 27, 125 https://doi.org/10.1086/141534
  10. Lehmann-Filhes, R. 1894, Ueber Die Bestimung Einer Doppelsternbahn Aus SpectroskopischenMessungen Der Im Visionsradius Liegenden Geschwindigkeits componente, AN, 136, 17
  11. Lu, W., Rucinski, S. M., & Ogloza, W. 2001, Radial Velocity Studies of Close Binary Stars. IV, AJ, 122, 402 https://doi.org/10.1086/321131
  12. Lucy, L. B., & Sweeney, M. A. 1971, Spectroscopic Binaries with Circular Orbits, AJ, 76, 544. https://doi.org/10.1086/111159
  13. Parzen, E. 1962, On Estimation of a Probability Density Function and Mode. Annals of Mathematical Statistics, 33, 1065 https://doi.org/10.1214/aoms/1177704472
  14. Petrie, R. M. 1960, Astronomical Techniques, University of Chicago Press
  15. Plummer, H. C. 1908, Notes on The Determinations of The Orbits of Spectroscopic Binaries, ApJ, 28, 212 https://doi.org/10.1086/141588
  16. Rucinski, S. M., Lu, W., Mochnaki, S. W., Ogloza, W., & Stachowski, G. 2001, Radial Velocity Studies of Close Binary Stars. V, AJ, 122, 1974 https://doi.org/10.1086/323106
  17. Rucinski, S. M., Capobianco, C. C., Lu, W., Mochnaki, S. W., Blake, R. M., Thomson, J. R., Ogloza W., & Stachowski, W. 2002a, Radial Velocity Studies of Close Binary Stars. VI, AJ, 124, 1738 https://doi.org/10.1086/342341
  18. Rucinski, S. M., Capobianco, C. C., Lu, W., Mochnaki S. W., Blake, R. M., Thomson, J. R., Ogloza, W., & Stachowski, W. 2002b, Radial Velocity Studies of Close Binary Stars. VI, preprint (astro-ph/0201213)
  19. Russell, H. N. 1902, An Improved Method of Calculating the Orbit of a Spectroscopic Binary, ApJ, 15, 252 https://doi.org/10.1086/140914
  20. Russell, H. N. 1914, A Short Method For Determining the Orbit of a Spectroscopic Binary, ApJ, 40, 282 https://doi.org/10.1086/142123
  21. Schlesinger, F. 1910, The Algol-Variable $\delta$ Librae, PALLO, 1, 123
  22. Singh, M. 1984, The Determination of a Spectroscopic Binary Orbit, Ap&SS, 100, 13 https://doi.org/10.1007/BF00651582
  23. Skuljan, J., Ramm, D. J., & Hearnshaw, J. B. 2004, Accurate Orbital Parameters For The Bright Southern Spectroscopic Binary $\zeta$ Trianguli Australis An Interesting Case of a Near-Circular Orbit, MNRAS, 352, 975 https://doi.org/10.1111/j.1365-2966.2004.07988.x
  24. mart, W. M. 1990, Textbook on Spherical Astronomy, Sixth Ed., Cambridge Univ. Press, p. 360
  25. Specht, D. F. 1988, Probabilistic Neural Networks for Classification, Mapping, or Associative Memory, In Proceedings of the IEEE International Conference on Neural Networks, San Diego, 24-27 July, p. 525
  26. Specht, D. F. 1990, Probabilistic Neural Networks, Neural Networks, 3, 109 https://doi.org/10.1016/0893-6080(90)90049-Q
  27. Sterne, T. E. 1941, Notes on Binary Stars. V. The Determination by Least-Squares of the Elements of Spectroscopic Binaries, PNAS, 27, 175 https://doi.org/10.1073/pnas.27.3.175
  28. Yakut, K., & Eggleton, P. P. 2005, Evolution of Close Binary Systems, ApJ, 629, 1055 https://doi.org/10.1086/431300

Cited by

  1. A SOLAR-TYPE STELLAR COMPANION TO A DEEP CONTACT BINARY IN A QUADRUPLE SYSTEM vol.817, pp.2, 2016, https://doi.org/10.3847/0004-637X/817/2/133