Abstract
We present a method for deriving the stellar fundamental parameters. It is based on a regularized sliced inverse regression (RSIR).We first tested it on noisy synthetic spectra of A, F, G, and K-type stars, and inverted simultaneously their atmospheric fundamental parameters: Teff., log g, [M/H] and v sin i. Different learning databases were calculated using a range of sampling in Teff., log g, v sin i, and [M/H]. Combined with a principal component analysis (PCA) nearest neighbors (NN) search, the size of the learning database is reduced. A Tikhonov regularization is applied, given the ill-conditioning of SIR. For all spectral types, decreasing the size of the learning database allowed us to reach internal accuracies better than PCA-based NN-search using larger learning databases. For each analyzed parameter, we have reached internal errors that are smaller than the sampling step of the parameter. We have also applied the technique to a sample of observed FGK and A stars. For a selection of well-studied stars, the inverted parameters are in agreement with the ones derived in previous studies. The RSIR inversion technique, complemented with PCA pre-processing proves to be efficient in estimating stellar parameters of A, F, G, and K-type stars.
References
Abolfathi, B., Aguado, D. S., Aguilar, G., Allende Prieto, C., Almeida, A., Ananna, T. T. et al. 2018, ApJS, 235, 42.Search in Google Scholar
Allende Prieto, C., Barklem, P. S., Lambert, D. L., & Cunha, K. 2004, A & A, 420, 183–205.Search in Google Scholar
Alves, S., Benamati, L., Santos, N. C., Adibekyan, V. Zh., Sousa, S. G., Israelian, G. et al. 2015, MNRAS, 448, 2749–2765.Search in Google Scholar
Bailer-Jones, C. A. L., Irwin, M., & von Hippel, T. 1998, MNRAS, 298, 361–377.Search in Google Scholar
Bernard-Michel, C., Douté, S., Fauvel, M., Gardes, L., & Girard, S. 2007, Research Report, INRIA(inria-00187444v2), 91.Search in Google Scholar
Bernard-Michel, C., Douté, S., Fauvel, M., Gardes, L., & Girard, S. 2009, Journal of Geophysical Research (Planets), 114, E06005.Search in Google Scholar
Bijaoui, A., Recio-Blanco, A., de Laverny, P., & Ordenovic, C. 2012, Statistical Methodology, 9, 55–62.Search in Google Scholar
Boeche, C., Smith, M. C., Grebel, E. K., Zhong, J., Hou, J. L., Chen, L. et al. 2018, AJ, 155, 18110.3847/1538-3881/aab5afSearch in Google Scholar
Buchhave, L. A., Latham, D. W., Johansen, A., Bizzarro, M., Torres, G., Rowe, J. F. et al. 2012, Nature, 486, 375–377.Search in Google Scholar
Casini, R., Asensio Ramos, A., Lites, B. W., & López Ariste, A. 2013, APJ, 773, 180.Search in Google Scholar
Chaplin, W. J., Basu, S., Huber, D., Serenelli, A., Casagrande, L., Silva Aguirre, V. et al. 2014, ApJS, 210, 1.Search in Google Scholar
Casey, A. R., Hogg, D. W., Ness, M., Rix, H.-W., Q Y Ho, A., & Gilmore, G. 2016, arXiv:1603.03040Search in Google Scholar
Castelli, F. & Kurucz, R. L. 2003, Modelling of Stellar Atmospheres, 210, A2010.1017/S0074180900133248Search in Google Scholar
Cayrel, G. & Cayrel, R. 1963, APJ, 137, 431–469.Search in Google Scholar
Cayrel de Strobel, G. 1969, In: Gingerich O. (Ed.), Proc. of the 3rd Harvard-Smithsonian Conf. on Stellar Atmospheres, 35–39.Search in Google Scholar
Creevey, O. L., Thévenin, F., Basu, S., Chaplin, W. J.; Bigot, L.; Elsworth, Y. et al. 2013, MNRAS, 431, 2419–2432.Search in Google Scholar
Cropper, M., Katz, D., Sartoretti, P., Prusti, T., de Bruijne, J.H.J., Chassat, F. et al. 2018, arXiv:astro-ph/1804.09369Search in Google Scholar
Cui, X.-Q., Zhao, Y.-H., Chu, Y.-Q., et al. 2012, Research in Astronomy and Astrophysics, 12, 1197. Data: http://dr5.lamost.org/Search in Google Scholar
Dieterich, S., Henry, T. J., Benedict, G. F., Jao, W.-Ch., White, R. & RECONS Team 2017, American Astronomical Society Meeting Abstracts #229, 229, 240.30.Search in Google Scholar
Fabbro, S., Venn, K. A., O’Briain, T., Bialek, S., Kielty, C. L., Jahandar, F. et al. 2018, MNRAS, 475, 2978–2993.Search in Google Scholar
Gebran, M., Monier, R., Royer, F., Lobel, A., & Blomme, R. 2014, Putting A Stars into Context: Evolution, Environment, and Related Stars, 193–198.Search in Google Scholar
Gebran, M., Farah, W., Paletou, F., Monier, R., & Watson, V. 2016, A & A, 589, A83.Search in Google Scholar
Gill, S., Maxted, P. F. L., & Smalley, B. 2018, arXiv:1801.06106.Search in Google Scholar
Hekker, S., Elsworth, Y., Mosser, B., Kallinger, T., Basu, S., Chaplin, W. J. et al. 2013, A & A, 556, A59.Search in Google Scholar
Hubeny, I. & Lanz, T. 1992, A & A, 262, 501–514.Search in Google Scholar
Husser, T.-O., Wende-von Berg, S., Dreizler, S., Homeier, D., Reiners, A., Barman, T. et al. 2013, A & A, 553, A6.Search in Google Scholar
Jolliffe, I. T. 1986, Springer Series in Statistics, Berlin: Springer, 1986.Search in Google Scholar
Katz, D. & Brown, A. G. A. 2017, SF2A-2017: Proceedings of the Annual meeting of the French Society of Astronomy and Astrophysics, 259–263.Search in Google Scholar
Kiefer, J. 1953, Proceedings of the American Mathematical Society, 4, 502–506.Search in Google Scholar
Kreyszig, E. 2010, Advanced Engineering Mathematics, John Wiley & Sons, 864-871.Search in Google Scholar
Kurucz, R. L. 1992, RMXAA, 23.Search in Google Scholar
Lanz, T. & Hubeny, I. 2003, ApJS, 146, 417–441.Search in Google Scholar
Latham, D. W., Stefanik, R. P., Torres, G., Davis, R. J., Mazeh, T., Carney, B. W. et al. 2002, AJ, 124, 1144–1161.Search in Google Scholar
de Laverny, P., Recio-Blanco, A., Worley, C. C., & Plez, B. 2012, A & A, 544, A126.Search in Google Scholar
Li, K. C 1991, Journal of the American Statistical Association, 86, 414, 316–342.10.1080/01621459.1991.10475040Search in Google Scholar
López Ariste, A., & Casini, R. 2002, APJ, 575, 529–541.Search in Google Scholar
McWilliam, A. 1990, ApJS, 74, 1075–1128.Search in Google Scholar
Morris, M., Kaiser, M. E., Bohlin, R., Kurucz, R., & ACCESS Team 2018, American Astronomical Society Meeting Abstracts #231, 231, #355.27Search in Google Scholar
Ness, M., Hogg, D. W., Rix, H.-W., Ho, A. Y. Q., & Zasowski, G. 2015, APJ, 808, 16.Search in Google Scholar
O’Mullane, W., & LSST Data Management Team 2018, American Astronomical Society Meeting Abstracts #231, 231, #362.10Search in Google Scholar
Palacios, A., Gebran, M., Josselin, E., Martins, F., Plez, B., Belmas, M. et al. 2010, A & A, 516, A13.Search in Google Scholar
Paletou, F., & Zolotukhin, I. 2014, arXiv:1408.7026.Search in Google Scholar
Paletou, F., Böhm, T., Watson, V., & Trouilhet, J.-F. 2015, A & A, 573, A67.Search in Google Scholar
Paletou, F., Gebran, M., Houdebine, E. R., & Watson, V. 2015, A & A, 580, A78.Search in Google Scholar
Perryman, M. A. C., de Boer, K. S., Gilmore, G., Høg, E., Lattanzi, M. G., Lindegren, L. et al. 2001, A & A, 369, 339–363. Data: https://www.cosmos.esa.int/web/gaia/dr210.1051/0004-6361:20010085Search in Google Scholar
Prugniel, P. & Soubiran, C. 2001, A & A, 369, 1048–1057.Search in Google Scholar
Prugniel, P., Soubiran, C., Koleva, M., & Le Borgne, D. 2007, arXiv:astro-ph/0703658.Search in Google Scholar
Re Fiorentin, P., Bailer-Jones, C. A. L., Lee, Y. S., Beers, T. C., Sivarani, T., Wilhelm, R. et al. 2007, A & A, 467, 1373–1387.Search in Google Scholar
Schönrich, R. & Bergemann, M. 2014, MNRAS, 443, 698–717.Search in Google Scholar
Shevlyakova, M. & Morgenthaler, S. 2014, Statistical Papers, 55, 1.Search in Google Scholar
Smalley, B., Zverko, J., Žižňovskỳ, J., Adelman, S. J. & Weiss, W. W. 2004, The A-Star Puzzle, Proc. IAU Symp. 224, Cambridge Univ. Press Cambridge.Search in Google Scholar
Smalley, B. 2005, Memorie della Societa Astronomica Italiana Supplementi, 8, 130.Search in Google Scholar
Stoehr, F., White, R., Smith, M., Kamp, I., Thompson, R., Durand, D. et al. 2008, Astronomical Data Analysis Software and Systems XVII, 394, 505–508.Search in Google Scholar
Ting, Y.-S., Conroy, C., Rix, H.-W., & Cargile, P. 2018, arXiv:1804.01530.Search in Google Scholar
Torres, G., Neuhäuser, R., & Guenther, E. W. 2002, AJ, 123, 1701– 1722.Search in Google Scholar
Valenti, J. A. & Piskunov, N. 1996, A & AS, 118, 595–603.Search in Google Scholar
Vogel, C. R. 2002, Computational methods for inverse problems. Society for Industrial and Applied Mathematics.10.1137/1.9780898717570Search in Google Scholar
Watson, V., Trouilhet, J., Paletou, F., & Girard, S. 2017, IEEE International Workshop of Electronics, Control, Measurement, Signals and their Application to Mechatronics (ECMSM).Search in Google Scholar
Wilkinson, D. M., Maraston, C., Goddard, D., Thomas, D., & Parikh, T. 2017, MNRAS, 472, 4297-4326.Search in Google Scholar
Xiang, M.-S., Liu, X.-W., Shi, J.-R., Yuan, H.-B., Huang, Y., Luo, A.-L. et al. 2017, MNRAS, 464, 3657-3678.Search in Google Scholar
© 2019 Sarkis Kassounian et al., published by De Gruyter Open
This work is licensed under the Creative Commons Attribution 4.0 Public License.