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How accurate are stellar ages based on stellar models?

I. The impact of stellar models uncertainties

Published online by Cambridge University Press:  14 November 2014

Y. Lebreton ,
M.J. Goupil  and
J. Montalbán
Y. Lebreton*
Affiliation:
Observatoire de Paris, GEPI, CNRS UMR 8111, 5 place Jules Janssen, 92195 Meudon, France Institut de Physique de Rennes, Université de Rennes 1, CNRS UMR 6251, 35042 Rennes, France
M.J. Goupil*
Affiliation:
Observatoire de Paris, LESIA, CNRS UMR 8109, 92195 Meudon, France
*
e-mail: yveline.lebreton@obspm.fr
e-mail: MarieJo.Goupil@obspm.fr
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Abstract

Among the various methods used to age-date stars, methods based on stellar model predictions are widely used, for nearly all kind of stars in large ranges of masses, chemical compositions and evolutionary stages. The precision and accuracy on the age determination depend on both the precision and number of observational constraints, and on our ability to correctly describe the stellar interior and evolution. The imperfect input physics of stellar models as well as the uncertainties on the initial chemical composition of stars are responsible for uncertainties in the age determination. We present an overview of the calculation of stellar models and discuss the impact on age of their numerous inputs.

Type
Research Article
Information
European Astronomical Society Publications Series , Volume 65: The Ages of Stars , 2014 , pp. 99 - 176
Copyright
© EAS, EDP Sciences, 2014

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References

Adelberger, E.G., García, A., Robertson, R.G.H., et al., 2011, Rev. Mod. Phys., 83, 195CrossRef
Alecian, G., 2007, EAS Publ. Ser., 26, 37CrossRef
Aller, L.H., & Chapman, S., 1960, ApJ, 132, 461CrossRef
Alves-Brito, A., Meléndez, J., Asplund, M., Ramírez, I., & Yong, D., 2010, A&A, 513, A35
Andersen, J., Clausen, J.V., & Nordstrom, B., 1990, ApJ, 363, L33CrossRef
Angulo, C., Arnould, M., Rayet, M., et al., 1999, Nucl. Phys. A, 656, 3CrossRef
Asplund, M., Grevesse, N., Sauval, A.J., Allende Prieto, C., & Kiselman, D., 2005, A&A, 435, 339
Asplund, M., Grevesse, N., Sauval, A.J., & Scott, P., 2009, ARA&A, 47, 481CrossRef
Aver, E., Olive, K.A., Porter, R.L., & Skillman, E.D., 2013, JCAP, 11, 17CrossRef
Badnell, N.R., Bautista, M.A., Butler, K., et al., 2005, MNRAS, 360, 458CrossRef
Basu, S., & Antia, H.M., 2004, ApJ, 606, L85CrossRef
Basu, S., & Antia, H.M., 2008, Phys. Reports, 457, 217CrossRef
Basu, S., & Christensen-Dalsgaard, J., 1997, A&A, 322, L5
Basu, S., Däppen, W., & Nayfonov, A., 1999, ApJ, 518, 985CrossRef
Bernkopf, J., 1998, A&A, 332, 127
Biermann, L., 1932, Veroeff. Univer.-Sternwarte zu Goettingen, 2, 220
Böhm-Vitense, E., 1958, Z. f. Astr., 46, 108
Böhm-Vitense, E., 1992, Introduction to stellar astrophysics, Vol. 3, Stellar structure and evolution (Cambridge: Cambridge University Press)Google Scholar
Bressan, A., Marigo, P., Girardi, L., et al., 2012, MNRAS, 427, 127CrossRef
Bressan, A.G., Chiosi, C., & Bertelli, G., 1981, A&A, 102, 25
Broggini, C., Bemmerer, D., Guglielmetti, A., & Menegazzo, R., 2010, Ann. Rev. Nucl. Part. Sci., 60, 53CrossRef
Browning, M.K., Brun, A.S., & Toomre, J., 2004, ApJ, 601, 512CrossRef
Burgers, J.M., 1969, Flow Equations for Composite Gases (New York: Academic Press)Google Scholar
Caffau, E., Ludwig, H.-G., Steffen, M., et al., 2008, A&A, 488, 1031
Cantiello, M., Mankovich, C., Bildsten, L., Christensen-Dalsgaard, J., & Paxton, B., 2014, APJ, 788, 93CrossRef
Canuto, V.M., 1999, ApJ, 518, L119CrossRef
Canuto, V.M., & Dubovikov, M., 1998, ApJ, 493, 834CrossRef
Canuto, V.M., Goldman, I., & Mazzitelli, I., 1996, ApJ, 473, 550CrossRef
Canuto, V.M., & Mazzitelli, I., 1991, ApJ, 370, 295CrossRef
Cassisi, S., Potekhin, A.Y., Pietrinferni, A., Catelan, M., & Salaris, M., 2007, ApJ, 661, 1094CrossRef
Cassisi, S., Salaris, M., & Irwin, A.W., 2003a, ApJ, 588, 862CrossRef
Cassisi, S., Schlattl, H., Salaris, M., & Weiss, A., 2003b, ApJ, 582, L43CrossRef
Castellani, V., degl'Innocenti, S., & Marconi, M., 1999, MNRAS, 303, 265CrossRef
Chaboyer, B., Deliyannis, C.P., Demarque, P., Pinsonneault, M.H., & Sarajedini, A., 1992, ApJ, 388, 372CrossRef
Chaboyer, B., & Zahn, J.-P., 1992, A&A, 253, 173
Charbonnel, C., Däppen, W., Schaerer, D., et al., 1999, A&AS, 135, 405
Charbonnel, C., & Talon, S., 2005, Science, 309, 2189CrossRef
Chiosi, C., 2007, in Convection in Astrophysics, IAU Symposium, 239, ed. Kupka, F., Roxburgh, I. & Chan, K.L., p. 235Google Scholar
Claret, A., 2007, A&A, 475, 1019
Clayton, D.D., 1968, Principles of stellar evolution and nucleosynthesis (New York: McGraw-Hill)Google Scholar
Coc, A., Uzan, J.-P., & Vangioni, E., 2013 [http://arXiv.org/abs/1307.6955]
Cordier, D., Lebreton, Y., Goupil, M.-J., et al., 2002, A&A, 392, 169
Costantini, H., Formicola, A., Imbriani, G., et al., 2009, Rep. Prog. Phys., 72, 086301CrossRef
Cox, J., & Giuli, R., 1968, Principles of Stellar Structure (New York: Gordon & Breach)Google Scholar
Cyburt, R.H., Fields, B.D., & Olive, K.A., 2008, JCAP, 11, 12CrossRef
da Silva, L., Girardi, L., Pasquini, L., et al., 2006, A&A, 458, 609
de Bruijne, J.H.J., Hoogerwerf, R., & de Zeeuw, P.T., 2001, A&A, 367, 111
degl'Innocenti, S., Fiorentini, G., & Ricci, B., 1998, Phys. Lett. B, 416, 365CrossRef
Deng, L., Bressan, A., & Chiosi, C., 1996, A&A, 313, 145PubMed
Deupree, R.G., 1995, ApJ, 439, 357CrossRef
Dewitt, H.E., Graboske, H.C., & Cooper, M.S., 1973, ApJ, 181, 439CrossRef
Dintrans, B., 2009, Comm. Asteroseismol., 158, 45
Eggenberger, P., Maeder, A., & Meynet, G., 2010a, A&A, 519, L2
Eggenberger, P., Miglio, A., Montalban, J., et al., 2010b, A&A, 509, A72
Eggleton, P.P., Faulkner, J., & Flannery, B.P., 1973, A&A, 23, 325
Ekström, S., Georgy, C., Eggenberger, P., et al., 2012, A&A, 537, A146
Ekström, S., Meynet, G., Maeder, A., & Barblan, F., 2008, A&A, 478, 467
Endal, A.S., & Sofia, S., 1976, ApJ, 210, 184CrossRef
Ferguson, J.W., Alexander, D.R., Allard, F., et al., 2005, ApJ, 623, 585CrossRef
Formicola, A., Imbriani, G., Costantini, H., et al., 2004, Phys. Lett. B, 591, 61CrossRef
Formicola, A., & LUNA Collaboration, 2002, in Proceedings of the 11th Workshop on “Nuclear Astrophysics”, Ringberg Castle, ed. Hillebrandt, W. & Müller, E., p. 111Google Scholar
Gabriel, M., 1995, A&A, 302, 271PubMed
Gabriel, M., Noels, A., Montalbán, J., & Miglio, A., 2014, A&A, i569, A63
Gallart, C., Zoccali, M., & Aparicio, A., 2005, ARA&A, 43, 387CrossRef
Garaud, P., Meru, F., Galvagni, M., & Olczak, C., 2013, ApJ, 764, 146CrossRef
Gennaro, M., Prada Moroni, P.G., & Degl'Innocenti, S., 2010, A&A, 518, A13
Gilet, C., Almgren, A.S., Bell, J.B., et al., 2013, ApJ, 773, 137CrossRef
Girardi, L., Bertelli, G., Bressan, A., et al., 2002, A&A, 391, 195
Girardi, L., Eggenberger, P., & Miglio, A., 2011, MNRAS, 412, L103CrossRef
Gong, Z., Däppen, W., & Zejda, L., 2001, ApJ, 546, 1178CrossRef
Goupil, M., Deheuvels, S., Marques, J., et al., 2014, in Precision Asteroseismology, IAU Symposium 301, ed. Guzik, J.A., Chaplin, W.J., Handler, G. & Pigulski, A., p. 161Google Scholar
Goupil, M.J., & Talon, S., 2002, in Radial and Nonradial Pulsations as Probes of Stellar Physics, IAU Colloquium 185, Astron. Soc. Pac. Conf. Ser., ed. Aerts, C., Bedding, T.R. & Christensen-Dalsgaard, J., 259, 306Google Scholar
Grevesse, N., & Noels, A., 1993, in La formation des éléments, 35ème cours de perfectionnement de l'Association vaudoise des chercheurs en physique, ed. Hauck, B., Paltani, S. & Raboud, D., p. 205Google Scholar
Grevesse, N., & Sauval, A.J., 1998, Space Sci. Rev., 85, 161CrossRef
Grossman, S.A., 1996, MNRAS, 279, 305CrossRef
Guzik, J.A., & Swenson, F.J., 1997, ApJ, 491, 967CrossRef
Huang, W., Gies, D.R., & McSwain, M.V., 2010, ApJ, 722, 605CrossRef
Iben, I. Jr., 1965, ApJ, 141, 993CrossRef
Iben, I. Jr., 1967, ARA&A, 5, 571CrossRef
Iben, I. Jr., 1975, ApJ, 196, 525CrossRef
Iglesias, C.A., & Rogers, F.J., 1996, ApJ, 464, 943CrossRef
Imbriani, G., Costantini, H., Formicola, A., et al., 2004, A&A, 420, 625
Jørgensen, B.R., & Lindegren, L., 2005, A&A, 436, 127PubMed
Kippenhahn, R., Weigert, A., & Weiss, A., 2013, Stellar Structure and Evolution (Berlin: Springer Verlag)Google Scholar
Korn, A.J., Grundahl, F., Richard, O., et al., 2006, Nature, 442, 657CrossRef
Kupka, F., 2009, in Interdisciplinary Aspects of Turbulence, Lect. Notes Phys., ed. Hillebrandt, W. & Kupka, F., 756, 49Google Scholar
Lagarde, N., Decressin, T., Charbonnel, C., et al., 2012, A&A, 543, A108
Lebreton, Y., 2005, in The Three-Dimensional Universe with Gaia, ESA Special Publication, ed. Turon, C., O'Flaherty, K.S. & Perryman, M.A.C., 576, 493Google Scholar
Lebreton, Y., & Däppen, W., 1988, in Seismology of the Sun and Sun-Like Stars, ESA Special Publication, ed. Rolfe, E.J., 286, 661
Lebreton, Y., Fernandes, J., & Lejeune, T., 2001, A&A, 374, 540
Lebreton, Y., & Montalbán, J., 2010, Ap&SS, 328, 29
Lebreton, Y., Montalbán, J., Christensen-Dalsgaard, J., Roxburgh, I.W., & Weiss, A., 2008a, Ap&SS, 316, 187
Lebreton, Y., Monteiro, M.J.P.F.G., Montalbán, J., et al., 2008b, Ap&SS, 316, 1
Liu, C., Bailer-Jones, C.A.L., Sordo, R., et al., 2012, MNRAS, 426, 2463CrossRef
Lo, Y.-C., & Schatzman, E., 1997, A&A, 322, 545PubMed
Lodders, K., Palme, H., & Gail, H.-P., 2009, in Landolt Börnstein – Group VI Astronomy and Astrophysics, Solar system, New Series, Vol. VI/4B, ed. Trumper, J.E., p. 712Google Scholar
Ludwig, H.-G., Caffau, E., & Kučinskas, A., 2008, in The Art of Modeling Stars in the 21st Century, IAU Symposium 252, ed. Deng, L. & Chan, K.L., 75Google Scholar
Ludwig, H.-G., Freytag, B., & Steffen, M., 1999, A&A, 346, 111
Maeder, A., 2009, Physics, Formation and Evolution of Rotating Stars (Berlin: Springer Verlag)Google Scholar
Maeder, A., & Mermilliod, J.C., 1981, A&A, 93, 136
Maeder, A., & Meynet, G., 2000, ARA&A, 38, 143CrossRef
Maeder, A., Meynet, G., Lagarde, N., & Charbonnel, C., 2013, A&A, 553, A1
Maeder, A., & Zahn, J.-P., 1998, A&A, 334, 1000
Magic, Z., Weiss, A., & Asplund, M., 2014, A&A, in press [http://arXiv.org/abs/1403.1062]
Marques, J.P., Goupil, M.J., Lebreton, Y., et al., 2013, A&A, 549, A74
Marta, M., Formicola, A., Gyürky, G., et al., 2008, Phys. Rev. C., 78, 022802CrossRef
Mathis, S., 2013, in Studying Stellar Rotations and Convection, Lect. Notes Phys., ed. Goupil, M.J., Belkacem, K., Neiner, C., Lignières, F. & Green, J.J., 865, 23CrossRefGoogle Scholar
Mazzitelli, I., D'Antona, F., & Caloi, V., 1995, A&A, 302, 382
Meakin, C.A., & Arnett, D., 2007, ApJ, 667, 448CrossRef
Mestel, L., 1968, MNRAS, 138, 359CrossRef
Meynet, G., Ekstrom, S., Maeder, A., et al., 2013, in Studying Stellar Rotations and Convection, Lect. Notes Phys., ed. Goupil, M.J., Belkacem, K., Neiner, C., Lignières, F. & Green, J.J., 865, 3Google Scholar
Meynet, G., & Maeder, A., 2000, A&A, 361, 101
Michaud, G., 1970, ApJ, 160, 641CrossRef
Michaud, G., Charland, Y., Vauclair, S., & Vauclair, G., 1976, ApJ, 210, 447CrossRef
Michaud, G., & Proffitt, C.R., 1993, in Inside the Stars, IAU Colloquium 137, Astron. Soc. Pac. Conf. Ser., ed. Weiss, W.W. & Baglin, A., 40, 246Google Scholar
Miglio, A., & Montalbán, J., 2005, A&A, 441, 615
Mihalas, D., 1978, Stellar atmospheres (San Francisco: W.H. Freeman)Google Scholar
Mitler, H.E., 1977, ApJ, 212, 513CrossRef
Montalbán, J., D'Antona, F., Kupka, F., & Heiter, U., 2004, A&A, 416, 1081
Montalbán, J., Kupka, F., D'Antona, F., & Schmidt, W., 2001, A&A, 370, 982PubMed
Montalbán, J., Lebreton, Y., Miglio, A., et al., 2008, Ap&SS, 316, 219
Monteiro, M.J.P.F.G., Lebreton, Y., Montalbán, J., et al., 2006, in The CoRoT Mission Pre-Launch Status –Stellar Seismology and Planet Finding, ESA Special Publication 1306, ed. Fridlund, M., Baglin, A., Lochard, J. & Conroy, L., p. 363
Morel, P., & Lebreton, Y., 2008, Ap&SS, 316, 61
Mussack, K., & Däppen, W., 2011, ApJ, 729, 96CrossRef
Nayfonov, A., Däppen, W., Hummer, D.G., & Mihalas, D., 1999, ApJ, 526, 451CrossRef
Norberg, P., & Maeder, A., 2000, A&A, 359, 1025
Palacios, A., 2013, EAS Publ. Ser., 62, 227CrossRef
Palacios, A., Charbonnel, C., Talon, S., & Siess, L., 2006, A&A, 453, 261
Palla, F., & Stahler, S.W., 1990, ApJ, 360, L47CrossRef
Paquette, C., Pelletier, C., Fontaine, G., & Michaud, G., 1986, ApJS, 61, 177CrossRef
Paxton, B., Bildsten, L., Dotter, A., et al., 2011, ApJS, 192, 3CrossRef
Peimbert, M., Luridiana, V., & Peimbert, A., 2007, ApJ, 666, 636CrossRef
Pérez Hernández, F., Claret, A., Hernández, M.M., & Michel, E., 1999, A&A, 346, 586
Perryman, M.A.C., Brown, A.G.A., Lebreton, Y., et al., 1998, A&A, 331, 81
Perryman, M.A.C., de Boer, K.S., Gilmore, G., et al., 2001, A&A, 369, 339
Pietrinferni, A., Cassisi, S., Salaris, M., & Castelli, F., 2004, ApJ, 612, 168CrossRef
Pinsonneault, M.H., Kawaler, S.D., Sofia, S., & Demarque, P., 1989, ApJ, 338, 424CrossRef
Piotto, G., 2009, in The Ages of Stars, IAU Symposium, ed. Mamajek, E.E., Soderblom, D.R. & Wyse, R.F.G., 258, 233Google Scholar
Pont, F., & Eyer, L., 2004, MNRAS, 351, 487CrossRef
Prandtl, L., 1925, Zh. Angew. Math. Mech, 5, 131
Rauer, H., Catala, C., Aerts, C., et al., 2013, Exp. Ast., in press [http://arxiv.org/abs/1310.0696]
Ribas, I., Jordi, C., & Giménez, Á., 2000, MNRAS, 318, L55CrossRef
Richer, J., Michaud, G., & Turcotte, S., 2000, ApJ, 529, 338CrossRef
Rieutord, M., & Espinosa, L.F., 2013, in Proc. Ann. Meet. French Soc. Astron. Astrophys., ed. Cambresy, L., Martins, F., Nuss, E. & Palacios, A., p. 101Google Scholar
Rieutord, M., & Zahn, J.-P., 1995, A&A, 296, 127
Robinson, F.J., Demarque, P., Li, L.H., et al., 2003, MNRAS, 340, 923CrossRef
Rogers, F.J., & Nayfonov, A., 2002, ApJ, 576, 1064CrossRef
Rosenthal, C.S., Christensen-Dalsgaard, J., Nordlund, Å., Stein, R.F., & Trampedach, R., 1999, A&A, 351, 689
Roxburgh, I.W., 1978, A&A, 65, 281
Roxburgh, I.W., 1989, A&A, 211, 361
Roxburgh, I.W., 1992, A&A, 266, 291PubMed
Roxburgh, L.W., & Simmons, J., 1993, A&A, 277, 93
Salpeter, E.E., 1954, Aust. J. Phys., 7, 373CrossRef
Samadi, R., Belkacem, K., Dupret, M.-A., et al., 2012, A&A, 543, A120
Samadi, R., Kupka, F., Goupil, M.J., Lebreton, Y., & van't Veer-Menneret, C., 2006, A&A, 445, 233
Samadi, R., Ludwig, H.-G., Belkacem, K., et al., 2010, A&A, 509, A16
Saumon, D., Chabrier, G., & van Horn, H.M., 1995, ApJS, 99, 713CrossRef
Schaller, G., Schaerer, D., Meynet, G., & Maeder, A., 1992, A&AS, 96, 269PubMed
Schatzman, E., 1954, ApJ, 119, 464CrossRef
Schatzman, E., 1962, Ann. Astrophys., 25, 18
Schatzman, E., 1993, A&A, 279, 431
Scuflaire, R., Montalbán, J., Théado, S., et al., 2008, Ap&SS, 316, 149
Soderblom, D.R., 2010, ARA&A, 48, 581CrossRef
Staritsin, E.I., 2013, Ast. Rep., 57, 380CrossRef
Stein, R.F., 1966, in Stellar Evolution, ed. Stein, R.F. & Cameron, A.G.W. (New York: Plenum), p. 3Google Scholar
Stein, R.F., & Nordlund, Å., 1998, ApJ, 499, 914CrossRef
Stetson, P.B., Vandenberg, D.A., & Bolte, M., 1996, PASP, 108, 560CrossRef
Stothers, R.B., 1991, ApJ, 383, 820CrossRef
Straka, C.W., Demarque, P., Guenther, D.B., Li, L., & Robinson, F.J., 2006, ApJ, 636, 1078
Strugarek, A., Brun, A.S., & Zahn, J.-P., 2011, A&A, 532, A34
Talon, S., 2008, EAS Publ. Ser., 32, 81CrossRef
Talon, S., Zahn, J.-P., Maeder, A., & Meynet, G., 1997, A&A, 322, 209
Tassoul, J.-L., 2007, Stellar Rotation (Cambridge: Cambridge University Press)Google Scholar
Théado, S., Alecian, G., LeBlanc, F., & Vauclair, S., 2012, A&A, 546, A100
Thoul, A., & Montalbán, J., 2007, EAS Publ. Ser., 26, 25CrossRef
Thoul, A.A., Bahcall, J.N., & Loeb, A., 1994, ApJ, 421, 828CrossRef
Tinsley, B.M., 1979, ApJ, 229, 1046CrossRef
Trampedach, R., 2004, in The A-Star Puzzle, IAU Symposium 224, ed. Zverko, J., Ziznovsky, J., Adelman, S.J. & Weiss, W.W., p. 155Google Scholar
Trampedach, R., Däppen, W., & Baturin, V.A., 2006, ApJ, 646, 560CrossRef
Trampedach, R., & Stein, R.F., 2011, ApJ, 731, 78CrossRef
Turcotte, S., Richer, J., & Michaud, G., 1998, ApJ, 504, 559CrossRef
Valle, G., Dell'Omodarme, M., Prada Moroni, P.G., & Degl'Innocenti, S., 2013, A&A, 549, A50
Valle, G., Dell'Omodarme, M., Prada Moroni, P.G., & Degl'Innocenti, S., 2014, A&A, 561, A125
VandenBerg, D.A., & Bell, R.A., 2001, New Ast. Rev., 45, 577CrossRef
Vandenberg, D.A., & Bell, R.A., 2002, High. Ast., 12, 439CrossRef
VandenBerg, D.A., Bergbusch, P.A., Dotter, A., et al., 2012, ApJ, 755, 15CrossRef
VandenBerg, D.A., Bergbusch, P.A., & Dowler, P.D., 2006, ApJS, 162, 375CrossRef
Ventura, P., Castellani, M., & Straka, C.W., 2005, A&A, 440, 623
Ventura, P., Zeppieri, A., Mazzitelli, I., & D'Antona, F., 1998, A&A, 334, 953PubMed
Viallet, M., Meakin, C., Arnett, D., & Mocák, M., 2013, ApJ, 769, 1CrossRef
Weiss, A., Flaskamp, M., & Tsytovich, V.N., 2001, A&A, 371, 1123
Xiong, D.-r., 1978, Chinese Astronomy, 2, 118
Xiong, D.R., 1985, A&A, 150, 133PubMed
Zahn, J.-P., 1991, A&A, 252, 179
Zahn, J.-P., 1992, A&A, 265, 115PubMed
Zhang, Q.S., 2013, ApJS, 205, 18CrossRef
Zhang, Q.S., & Li, Y., 2012, ApJ, 750, 11CrossRef