Abstract
Using the density and temperature profiles resulting from a two-dimensional turbulent model of the solar nebula as well as an appropriate law for the time variation of the disk accretion rate, we integrate the equation of diffusion that rules the evolution of the D/H ratio in H2O and HCN throughout the nebula. By fitting D/H measured in LL3 meteorites and comets or inferred in proto-Uranian and proto-Neptunian ices, we constrain the parameters of the model, namely, the initial accretion rate
(0), the initial radius of the turbulent disk RD, and the α-coefficient of turbulent viscosity, and we find 2 × 10-6 <
(0) < 10-5 M☉ yr-1, 12.8 < RD < 39 AU, and 0.006 < α < 0.04. Under the assumption that cometary cores are homogeneous, the microscopic icy grains that subsequently formed cometesimals were produced in the Uranus-Neptune region and no later than 3.5 × 105 yr. The epochs of the formation of Jupiter and Saturn cannot be lower than 0.7 and 5.7 Myr, respectively, after the formation of the Sun. Uranus and Neptune were completed after the dissipation of the nebula. The enrichment in volatiles with respect to the solar abundance measured by the Galileo probe in Jupiter may result from the trapping of these gases in the form of clathrate hydrates in the feeding zone of the forming planet.
Export citation and abstract BibTeX RIS
References
- Bell, K. R., Canen, P. M., Klahn, H. H., & Henning, Th. 1997, ApJ, 486, 372
- Bockelée-Morvan, D., Gautier, D., Huré, J.-M., Hersant, F., & Robert, F. 2001, Icarus, submitted
- Calvet, N., Hartmann, L., & Strom, S. T. 2000, in Protostars and Planets IV, ed. V. Mannings, A. P. Boss, & S. S. Russel (Tucson: Univ. of Arizona Press), 377
- D'Alessio, P., Canto, G., Calvet, N., & Ligano, S. 1998, ApJ, 500, 411
- Gail, H.-P. 1998, A&A, 332, 1099
- Gautier D., Hersant F., Mousis O., & Lunine, J. 2001, ApJ, 550, L227
- Gautier, D., & Owen, T. C. 1989, in Origin and Evolution of Planetary and Satellite Atmospheres, eds. S. K. Atreya, J. Pollack, & M. S. Matthews (Tucson: Univ. of Arizona Press), 487
- Hahn, J., & Malhotra, R. 1999, AJ, 117, 3041
- Huré, J.-M. 1998, A&A, 337, 625
- Huré, J.-M. 2000, A&A, 358, 378
- Kouchi, A., Yamamoto, T., Kozasa, T., Kuroda, T., & Greenberg, J. M. 1994, A&A, 290, 1009
- Lécluse, C., & Robert, F. 1994, Geochim. Cosmochim. Acta, 58, 2297
- Lellouch, E., Feuchtgruber, H., de Graauw, T., Encrenaz, T., Bézard, B., & Griffin, M. 1997, A&A, in press
- Makalkin, A. B., & Dorofeyeva, V. A. 1991, Izv. Earth Phys., 27, 650
- Malhotra, R., Duncan, M. J., & Levison, H. F. 2000, in Protostars and Planets IV, ed. V. Mannings, A. P. Boss, & S. S. Russel (Tucson: Univ. of Arizona Press), 1231
- Schilke, P., Wamsley, C. M., Pineau des Forêts, G., Roueff, E., Fower, D. R., & Guilloteau S. 1992, A&A, 256, 595
- Shakura, N. I., & Sunyaev, R. A. 1973, A&A, 24, 337
- Stepinski, T. 1998, ApJ, 507, 361
- Stepinski, T., & Valageas, P. 1997, A&A, 319, 1007
- Teixeira, T. C., Devlin, J. P., Buch, V., & Emerson, J. P. 1999, A&A, 347, L19
Citations
-
D/H Ratios on Saturn and Jupiter from Cassini CIRS
J. D. R. Pierel et al. 2017 The Astronomical Journal 154 178 -
Origin of Molecular Oxygen in Comet 67P/Churyumov–Gerasimenko
O. Mousis et al. 2016 The Astrophysical Journal Letters 823 L41 -
Extrasolar Refractory-dominated Planetesimals: An Assessment
M. Jura and S. Xu 2013 The Astronomical Journal 145 30 -
Water in Protoplanetary Disks: Deuteration and Turbulent Mixing
Kenji Furuya et al. 2013 The Astrophysical Journal 779 11 -
Protostellar Disk Evolution over Million-year Timescales with a Prescription for Magnetized Turbulence
Russell Landry et al. 2013 The Astrophysical Journal 771 80 -
Chemical Consequences of the C/O Ratio on Hot Jupiters: Examples from WASP-12b, CoRoT-2b, XO-1b, and HD 189733b
J. I. Moses et al. 2013 The Astrophysical Journal 763 25 -
Low Mg/Si Planetary Host Stars and Their Mg-depleted Terrestrial Planets
Jade C. Carter-Bond et al. 2012 The Astrophysical Journal Letters 747 L2 -
Incorporation of a Late-forming Chondrule into Comet Wild 2
R. C. Ogliore et al. 2012 The Astrophysical Journal Letters 745 L19 -
The Compositional Diversity of Extrasolar Terrestrial Planets. II. Migration Simulations
Jade C. Carter-Bond et al. 2012 The Astrophysical Journal 760 44 -
Titan's Bulk Composition Constrained by Cassini-Huygens: Implication for Internal Outgassing
G. Tobie et al. 2012 The Astrophysical Journal 752 125 -
Chemical Evolution of Turbulent Protoplanetary Disks and the Solar Nebula
D. Semenov and D. Wiebe 2011 The Astrophysical Journal Supplement Series 196 25 -
Ortho-to-para Abundance Ratio (OPR) of Ammonia in 15 Comets: OPRs of Ammonia Versus 14N/15N Ratios in CN
Yoshiharu Shinnaka et al. 2011 The Astrophysical Journal 729 81 -
The Compositional Diversity of Extrasolar Terrestrial Planets. I. In Situ Simulations
Jade C. Bond et al. 2010 The Astrophysical Journal 715 1050 -
Proto-Planetary Disk Chemistry Recorded by D-Rich Organic Radicals in Carbonaceous Chondrites
Laurent Remusat et al. 2009 The Astrophysical Journal 698 2087 -
Mixing Fraction of Inner Solar System Material in Comet 81P/Wild2
A. J. Westphal et al. 2009 The Astrophysical Journal 694 18 -
Clathration of Volatiles in the Solar Nebula and Implications for the Origin of Titan's Atmosphere
Olivier Mousis et al. 2009 The Astrophysical Journal 691 1780 -
Constraints on the Formation of the Planet in HD 188753
Hannah Jang-Condell 2007 The Astrophysical Journal 654 641 -
Gas-Phase CO in Protoplanetary Disks: A Challenge for Turbulent Mixing
D. Semenov et al. 2006 The Astrophysical Journal Letters 647 L57 -
Updated Big Bang Nucleosynthesis Compared with Wilkinson Microwave Anisotropy Probe Observations and the Abundance of Light Elements
Alain Coc et al. 2004 The Astrophysical Journal 600 544 -
The Deuterium-to-Oxygen Ratio in the Interstellar Medium
Guillaume Hébrard and H. Warren Moos 2003 The Astrophysical Journal 599 297 -
Erratum: "Enrichments in Volatiles in Jupiter: A New Interpretation of the Galileo Measurements" (ApJ, 550, L227 [2001])
2001 The Astrophysical Journal Letters 559 L183