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Integral stellar-nebular model of NGC 7009

2011, Proceedings of the International Astronomical Union

We developed a self-consistent stellar-nebular model for NGC 7009. This model reproduces the available observations ranging from optical to UV. The combined approach to the modeling process produces more constraints and thus more trustworty results. After obtaining the model, we perform a comparative study of the chemical composition of He, N, O, Ne, Cl, and S in the nebula and its central star. Concluding that the stellar composition agrees with the nebular composition with t2 ≠ 0.00.

Planetary Nebulae: An Eye to the Future Proceedings IAU Symposium No. 283, 2011 A. Manchado, L. Stanghellini & D. Schönberner, eds. c International Astronomical Union 2012  doi:10.1017/S1743921312011404 Integral stellar-nebular model of NGC 7009 Celia R. Fierro1 , Antonio Peimbert1 , Leonid Georgiev1 , Christophe Morisset1,2 and Anabel Arrieta3 1 Instituto de Astronomı́a, Universidad Nacional Autónoma de México, Apdo. Postal 70-264, México D.F, C.P. 04510, México email: [email protected], [email protected], [email protected], [email protected], and [email protected] 2 Instituto de Astrofı́sica de Canarias, E-38200, La Laguna, Tenerife, Spain. 3 Universidad Iberoamericana, Departamento de Fı́sica y Matemáticas, Avenida Prolongacion Paseo de la Reforma 880, Lomas de Santa Fe, CP 01210, México, DF, México Abstract. We developed a self-consistent stellar-nebular model for NGC 7009. This model reproduces the available observations ranging from optical to UV. The combined approach to the modeling process produces more constraints and thus more trustworty results. After obtaining the model, we perform a comparative study of the chemical composition of He, N, O, Ne, Cl, and S in the nebula and its central star. Concluding that the stellar composition agrees with the nebular composition with t2 = 0.00. Keywords. stars: abundances, stars: atmospheres, stars: fundamental parameters, stars: rotation, stars: winds, outflows, ISM: abundances, planetary nebulae: individual (NGC 7009) 1. Stellar-nebular model A preliminary model of the star was obtaining fitting the lines and P-Cygni profiles in the UV and the visual spectra. A preliminary model of the PN was obtained fitting the intensities of the nebular lines. The stellar model was used as ionization source for the nebular one. The stellar models were calculed with the CMFGEN code (Hiller & Miller 1998). The nebular models were calculed with CLOUDY (Ferland et al. 1998). The parameters in the models were scaled to the same distance. We perform several iterations in order to obtain a stellar-nebular model which reproduces simultaneosly the observations of the nebula and the star 2. Determination of the distance using evolutionary tracks In order to constraint the distance, we use the evolutionary tracks of Vassiliadis & Wood (1994). Each point in the evolutionary tracks is a combination of Teff , L, and time of evolution. Any stellar-nebular model valid for the object should be within the area bounded by the Teff of the star and the kinematic age range of the nebula. We measured vexp = 20 ±2 km/s in the central region of the nebula from the [O III] λ5007 line. With our Teff = 86 000±5 000 K (Table 1) and 2 150  τkin  8 550 yr we delimited Table 1. Parameters of the integral stellar-nebular model. Te ff L log g Distance Rstar Mstar M p ro g e n ito r Ṁ 86 000 ± 5 000 K 5 500 ± 500 L ⊙ 5.3 ± 2 1.4 ± 0.4 kp c 0.33 ± 0.2 R ⊙ 0.7 ± 0.1 M ⊙ 1.6 ± 0.2 M ⊙ 8 ×10 −1 0 M ⊙ yr −1 v∞ v sin i τk in Size Rin Rou t Filling factor 2 650 km s −1 110 ± 20 km s −1 5 000 ± 1 500 yrs 15 arc sec 4.34×10 1 6 cm 2.60×10 1 7 cm 0.7 356 Downloaded from https://www.cambridge.org/core. IP address: 18.206.13.133, on 11 Jun 2020 at 06:05:13, subject to the Cambridge Core terms of use, available at https://www.cambridge.org/core/terms. https://doi.org/10.1017/S1743921312011404 357 NGC 7009: stellar-nebular model Figure 1. Region of solution is marked. the permitted region in the H–R diagram. Figure 1 shows the limits of the luminosity and the position of our best stellar-nebular model. 3. Stellar and nebular chemical composition For the comparative study of the nebular and stellar chemical composition, we define two regions in the nebula: High and Medium, by reference to the ionization degree (ratio [O III]/[O II]). We calculed the abundances of He, N, O, Ne, Cl and S for the nebula under assumption of homogeneous temperature (t2 = 0.00) and under assumption of temperature fluctuations, t2 = 0.084 and 0.113 for the High and Medium regions, respectively (hereafter t2 = 0.00). The nebular model was tuned to reproduce the observed recombination lines of He, N, O and the collisional excited lines of N, O, Ne, Cl and S. The abundances of He and N obtained from RLs in the nebular model agree with the stellar model and CELS assuming temperature fluctuations (t2 = 0.00). The nebular abundances are consistent with homogeneous chemical composition in the studied regions. The He, O and Ne abundances are higher than solar. The N, Cl and S abundances are close to the solar value (see Figure 2). The abundances of He, N, and O from the stellar model agree with the nebular ones assuming t2 = 0.00. [O III]/[O II] 154 11.6 142 [O III]/[O II] 154 9.5 log(He/H)+12 [O III]/[O II] 154 9.0 11.4 Average with t^2 = 0.0 11.2 Average with t^2 no 0.0 RLs 10.5 RLs 8.5 142 log(O/H)+12 10.0 9.5 CELs 8.0 9.0 CELs 11.0 Solar 10.8 7.5 8.5 7.0 8.0 High Medium Stellar Nebular model [O III]/[O II] 154 10.0 142 log(N/H)+12 High Medium Stellar Nebular model model 142 [O III]/[O II] 154 7.0 log(Ne/H)+12 9.5 High Medium Stellar Nebular model 142 model [O III]/[O II] 154 10 log(Cl/H)+12 6.5 9 6.0 8 model 142 log(S/H)+12 9.0 8.5 CELs 8.0 5.5 7 CELs CELs 7.5 5.0 High Medium Stellar Nebular model model 6 High Medium Stellar Nebular model High Medium Stellar Nebular model model model Figure 2. Comparision of the abundances in the nebular regions and models. Triangles are the abundances with t2 = 0.00 and squares are the abundances with t2 = 0.00 in the nebular regions. References Vassiliadis, E. & Wood, P. R. 1994, ApJS, 92, 125 Hiller, D. J. & Miller, D. 1998, ApJ, 496, 407 Ferland, G. J., Korista, K. T., Verner, D. A., et al. 1998, PASP, 110, 761 Downloaded from https://www.cambridge.org/core. IP address: 18.206.13.133, on 11 Jun 2020 at 06:05:13, subject to the Cambridge Core terms of use, available at https://www.cambridge.org/core/terms. https://doi.org/10.1017/S1743921312011404