DETERMINATION OF THE MINIMUM MASSES OF HEAVY ELEMENTS IN THE ENVELOPES OF JUPITER AND SATURN
- Lunar and Planetary Laboratory, University of Arizona, Tucson, AZ (United States)
- Institut UTINAM, CNRS-UMR 6213, Observatoire de Besancon, BP 1615, 25010 Besancon Cedex (France)
- Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, CA 91109 (United States)
- Laboratoire de Chimie Theorique (LCT/LETMEX), CNRS-UMR 7616, Universite Pierre et Marie Curie, 4, Place Jussieu, 75252, Paris cedex 05 (France)
We calculate the minimum mass of heavy elements required in the envelopes of Jupiter and Saturn to match the observed oversolar abundances of volatiles. Because the clathration efficiency remains unknown in the solar nebula, we have considered a set of sequences of ice formation in which the fraction of water available for clathration is varied between 0 and 100%. In all the cases considered, we assume that the water abundance remains homogeneous whatever the heliocentric distance in the nebula and directly derives from a gas phase of solar composition. Planetesimals then form in the feeding zones of Jupiter and Saturn from the agglomeration of clathrates and pure condensates in proportions fixed by the clathration efficiency. A fraction of Kr and Xe may have been sequestrated by the H{sup +} {sub 3} ion in the form of stable XeH{sup +} {sub 3} and KrH{sup +} {sub 3} complexes in the solar nebula gas phase, thus implying the formation of at least partly Xe- and Kr-impoverished planetesimals in the feeding zones of Jupiter and Saturn. These planetesimals were subsequently accreted and vaporized into the hydrogen envelopes of Jupiter and Saturn, thus engendering volatiles enrichments in their atmospheres, with respect to hydrogen. Taking into account both refractory and volatile components, and assuming plausible molecular mixing ratios in the gas phase of the outer solar nebula, we show that it is possible to match the observed enrichments in Jupiter and Saturn, whatever the clathration efficiency. Our calculations predict that the O/H enrichment decreases from {approx} 5.5 to 5.1 times (O/H){sub sun} in the envelope of Jupiter and from 15.2 to 14.1 times (O/H){sub sun} in the envelope of Saturn with the growing clathration efficiency in the solar nebula. As a result, the minimum mass of ices needed to be injected in the envelope of Jupiter decreases from {approx} 20.0 to 18.6 M {sub +}, including a mass of water diminishing from 10.4 to 9.3 M {sub +}. In the same conditions, the minimum mass of ices needed in the envelope of Saturn decreases from {approx} 16.7 to 15.6 M {sub +}, including a mass of water diminishing from 8.6 to 7.7 M {sub +}. The accretion of planetesimals with ices to rocks ratios {approx} 1 in the envelope of Jupiter, namely a value derived from the bulk densities of Ganymede and Callisto, remains compatible with the mass of heavy elements predicted by interior models. On the other hand, the accretion of planetesimals with similar ice-to-rock in the envelope of Saturn implies a mass of heavy elements greater than the one predicted by interior models, unless a substantial fraction of the accreted rock and water sedimented onto the core of the planet during its evolution.
- OSTI ID:
- 21300670
- Journal Information:
- Astrophysical Journal, Vol. 696, Issue 2; Other Information: DOI: 10.1088/0004-637X/696/2/1348; Country of input: International Atomic Energy Agency (IAEA); ISSN 0004-637X
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
COSMOLOGY AND ASTRONOMY
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
ABUNDANCE
AGGLOMERATION
BULK DENSITY
CLATHRATES
CONDENSATES
HYDROGEN
ICE
JUPITER PLANET
MASS
MIXING RATIO
ROCKS
SATURN PLANET
SOLAR NEBULA
SOLAR SYSTEM
SOLAR SYSTEM EVOLUTION
VOLATILITY
WATER