J/ApJ/750/52 Jupiter model with improved EOS (Nettelmann+, 2012)
Jupiter models with improved ab initio hydrogen equation of state (H-REOS.2).
Nettelmann N., Becker A., Holst B., Redmer R.
<Astrophys. J., 750, 52 (2012)>
=2012ApJ...750...52N 2012ApJ...750...52N
ADC_Keywords: Models ; Planets
Keywords: equation of state - planets and satellites: individual: Jupiter
Abstract:
The amount and distribution of heavy elements in Jupiter gives
indications on the process of its formation and evolution. Core mass
and metallicity predictions, however, depend on the equations of state
(EOSs) used and on model assumptions. We present an improved ab initio
hydrogen EOS, H-REOS.2, and compute the internal structure and thermal
evolution of Jupiter within the standard three-layer approach. The
advance over our previous Jupiter models with H-REOS.1 by Nettelmann
et al. (2008ApJ...683.1217N 2008ApJ...683.1217N) is that the new models are also
consistent with the observed ≳2 times solar heavy element abundances
in Jupiter's atmosphere. Such models have a rock core mass
Mc=0-8M{earth}, total mass of heavy elements MZ=28-32M{earth},
a deep internal layer boundary at ≥4Mbar, and a cooling time of
4.4-5.0Gyr when assuming homogeneous evolution. We also calculate
two-layer models in the manner of Militzer et al. (2008ApJ...688L..45M 2008ApJ...688L..45M)
and find a comparable large core of 16-21M{earth}, out of which
∼11M{earth} is helium, but a significantly higher envelope
metallicity of 4.5 times solar. According to our preferred three-layer
models, neither the characteristic frequency (ν0∼156µHz) nor
the normalized moment of inertia (λ∼0.276) is sensitive to the
core mass but accurate measurements could well help to rule out some
classes of models.
File Summary:
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FileName Lrecl Records Explanations
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ReadMe 80 . This file
table1.dat 87 1109 Jupiter model J11-4a
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Byte-by-byte Description of file: table1.dat
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Bytes Format Units Label Explanations
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1- 10 F10.6 Mgeo M [0.000006/318] Mass coordinate
in Earth masses = 5.9736E+27 g (1)
12- 21 E10.4 GPa P [0.0001/8800] Pressure at m (1)
23- 30 F8.6 Rjup r [0.001/1] Mean radius (1)(2)
32- 38 F7.1 K T [170/20042] Temperature (1)
40- 49 E10.4 g/cm3 rho [0.0001/25.2] Density ρ (1)
51- 62 E12.5 --- s2 [-0.05/-0.009] Figure function s2;
see Appendix B (1)(3)
64- 74 E11.5 --- s4 [0.00007/0.002] Figure function s4 (1)(3)
76- 87 E12.5 --- s6 [-0.0002/-0.0000005] Figure function s6 (1)(3)
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Note (1): The model parameters are:
H EOS = H-REOS.2
He EOS = He-REOS
H2O EOS = H2O-REOS
Temperature at 1 bar = 170 K
Mean helium mass fraction Y = 0.275 (H-He)
Transition pressure = 400 GPa
Water mass fraction Z1 = 0.03010 (outer envelope)
Water mass fraction Z2 = 0.08967 (inner envelope)
Helium mass fraction Y1 = 0.238 (H-He) (outer envelope)
Helium mass fraction Y2 = 0.291 (H-He) (inner envelope)
resulting gravitational moment J2 = 14697.4 E-06
resulting gravitational moment J4 = -589.1 E-06
resulting gravitational moment J6 = 37.3 E-06
Note (2): Scaled by Jupiter's mean radius of 10.95517 Earth radii.
Note (3): We have used the theory of figures (Zharkov & Trubitsyn
1978ppi..book.....Z 1978ppi..book.....Z) to determine Jupiter's figure in terms of the
figure functions sn(l) which give the shape of equipotential
surfaces: see equation B3.
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History:
From electronic version of the journal
(End) Greg Schwarz [AAS], Emmanuelle Perret [CDS] 03-Dec-2013