INTERIOR MODELS OF URANUS AND NEPTUNE

"Empirical" models (pressure versus density) of Uranus and Neptune interiors constrained by the gravitational coefficients J 2, J 4, the planetary radii and masses, and Voyager solid-body rotation periods are presented. The empirical pressure-density profiles are then interpreted in terms of physical equations of state of hydrogen, helium, ice (H2O), and rock (SiO2) to test the physical plausibility of the models. The compositions of Uranus and Neptune are found to be similar with somewhat different distributions of the high-Z material. The big difference between the two planets is that Neptune requires a non-solar envelope, while Uranus is best matched with a solar composition envelope. Our analysis suggests that the heavier elements in both Uranus' and Neptune's interior might increase gradually toward the planetary centers. Indeed it is possible to fit the gravitational moments without sharp compositional transitions.

[1]  David A. Young,et al.  A new global equation of state model for hot, dense matter , 1995 .

[2]  F. D. Stacey Physics of the earth , 1977 .

[3]  Fritz M. Neubauer,et al.  Magnetic Fields at Neptune , 1989, Science.

[4]  W. Hubbard,et al.  Oblateness, radius, and mean stratospheric temperature of Neptune from the 1985 August 20 occultation , 1987 .

[5]  G. F. Lindal,et al.  The atmosphere of Neptune : an analysis of radio occultation data acquired with Voyager 2 , 1992 .

[6]  G. E. Wood,et al.  Voyager Radio Science Observations of Neptune and Triton , 1989, Science.

[7]  R. Redmer,et al.  JUPITER MODELS WITH IMPROVED AB INITIO HYDROGEN EQUATION OF STATE (H-REOS.2) , 2011, 1109.5644.

[8]  J. Anderson,et al.  Uranus and Neptune: Shape and rotation , 2010, 1006.3840.

[9]  Gilles Chabrier,et al.  An Equation of State for Low-Mass Stars and Giant Planets , 1995 .

[10]  J. Anderson,et al.  Saturn's Gravitational Field, Internal Rotation, and Interior Structure , 2007, Science.

[11]  A. Coustenis,et al.  The albedo, effective temperature, and energy balance of Uranus, as determined from Voyager IRIS data , 1990 .

[12]  S. Stanley,et al.  Numerical dynamo models of Uranus' and Neptune's magnetic fields , 2006 .

[13]  T. Guillot A COMPARISON OF THE INTERIORS OF JUPITER AND SATURN , 1999, astro-ph/9907402.

[14]  M. Marley,et al.  Further investigations of random models of Uranus and Neptune , 2000 .

[15]  J. Anderson,et al.  Empirical models of pressure and density in Saturn's interior: Implications for the helium concentration, its depth dependence, and Saturn's precession rate , 2008, 0810.3691.

[16]  W. Hubbard,et al.  Models of Uranus' interior and magnetic field , 1991 .

[17]  P. Bodenheimer,et al.  FORMATION AND STRUCTURE OF LOW-DENSITY EXO-NEPTUNES , 2011, 1106.2807.

[18]  S. K. Croft,et al.  Voyager 2 at Neptune: Imaging Science Results , 1989, Science.

[19]  D. SaumonT. Guillot Shock Compression of Deuterium and the Interiors of Jupiter and Saturn , 2004 .

[20]  S. Stanley,et al.  Convective-region geometry as the cause of Uranus' and Neptune's unusual magnetic fields , 2004, Nature.

[21]  D. W. Parcher,et al.  The Gravity Field of the Saturnian System from Satellite Observations and Spacecraft Tracking Data , 2006 .

[22]  V. Zharkov,et al.  Determination of the equation of state of the molecular envelopes of Jupiter and Saturn from their gravitational moments , 1974 .

[23]  R. Hide The giant planets. , 1982 .

[24]  G. F. Lindal,et al.  The atmosphere of Uranus: Results of radio occultation measurements with Voyager 2 , 1987 .

[25]  W. Hubbard Thermal structure of Jupiter , 1968 .

[26]  R. H. Brown,et al.  Voyager 2 in the Uranian System: Imaging Science Results , 1986, Science.

[27]  W. Hubbard,et al.  Ices in the Giant Planets , 1998 .

[28]  W. Hubbard,et al.  Interior Structure of Neptune: Comparison with Uranus , 1991, Science.

[29]  Mark S. Marley,et al.  Monte Carlo interior models for Uranus and Neptune , 1995 .

[30]  Jupiter and Saturn rotation periods , 2009, 0907.3418.

[31]  M. Marley,et al.  Comparative models of Uranus and Neptune , 1995 .

[32]  J. Connerney,et al.  Magnetic Fields at Uranus , 1986, Science.

[33]  G. Zimmerman,et al.  A new quotidian equation of state (QEOS) for hot dense matter , 1988 .

[34]  V. Zharkov,et al.  The physics of planetary interiors , 1985 .

[35]  G. F. Lindal,et al.  The atmosphere of Saturn - an analysis of the Voyager radio occultation measurements , 1985 .