Models of Jupiter's Growth Incorporating Thermal and Hydrodynamics Constraints

Physics

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5749 Origin And Evolution, 6024 Interiors (8147), 6218 Jovian Satellites, 6220 Jupiter, 6299 General Or Miscellaneous

Scientific paper

We have modeled the growth of Jupiter incorporating both thermal and hydrodynamical constraints on its accretion of gas from the circumsolar disk. We have used a planetary formation code, based on a Henyey- type stellar evolution code, to compute the planet's internal structure and a three-dimensional hydrodynamics code to calculate the planet's interactions with the protoplanetary disk. Our principal results are: (1) Three dimensional hydrodynamics calculations show that the flow of gas in the circumsolar disk limits the region occupied by the planet's tenuous gaseous envelope to within about 0.25 Rh (Hill sphere radii) of the planet's center, which is much smaller than the value of ~ 1 Rh that was assumed in previous studies. (2) This smaller size of the planet's envelope increases the planet's accretion time, but only by 5-- 10%. In general, in agreement with previous results of Hubickyj et al. [Hubickyj, O., Bodenheimer, P., Lissauer, J.J., 2005. Icarus, 179, 415-431], Jupiter formation times are in the range 2.5--3 Myr, assuming a protoplanetary disk with solid surface density of 10 g/cm2 and dust opacity in the protoplanet's envelope equal to 2% that of interstellar material. Thermal pressure limits the rate at which a planet less than a few dozen times as massive as Earth can accumulate gas from the protoplanetary disk, whereas hydrodynamics regulates the growth rate for more massive planets. (3) In a protoplanetary disk whose alpha-viscosity parameter is ~ 0.004, giant planets will grow to several times the mass of Jupiter unless the disk has a small local surface density when the planet begins to accrete gas hydrodynamically, or the disk is dispersed very soon thereafter. The large number of planets known with masses near Jupiter's compared with the smaller number of substantially more massive planets is more naturally explained by planetary growth within circumstellar disks whose alpha-viscosity parameter is ~ 0.0004. (4) Capture of Jupiter's irregular satellites within the planet's diffuse and extended thermally-supported envelope is not consistent with the Jupiter formation models presented in this study.

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