The Thermodynamic Model of a Moon Forming Disk Based on SPH Simulations

Physics

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[5420] Planetary Sciences: Solid Surface Planets / Impact Phenomena, Cratering, [5749] Planetary Sciences: Fluid Planets / Origin And Evolution, [6022] Planetary Sciences: Comets And Small Bodies / Impact Phenomena, [6250] Planetary Sciences: Solar System Objects / Moon

Scientific paper

According to the giant impact hypothesis, a Mars size body hits the proto-Earth in the late stage of Earth forming event (e.g. Benz et al., 1986, Thompson and Stevenson 1988). The impact generates a debris disk around the proto-Earth, from which the Moon is accreted. SPH simulations suggest that the silicate disk has high temperature (~ a few thousands K) and partially vaporized (~10-30% by mass) (Canup 2004). However, SPH does not determine the state of the resulting hydrostatic disk. To do this, we have taken the output of SPH, applied conservation of entropy, mass and angular momentum and corrected for the additional energy released upon quick relaxation to the hydrostatic Keplerian state. We find that the disk is remarkably uniform in entropy but is of lower entropy than the adjacent outer shell of Earth. Constant entropy implies a temperature variation, typically from 4500K (inner disk) to 2500K (outer disk) at the midplane. For grazing impact cases (impact angles: 40 - 60 degrees, impact velocity: escape velocity, mantle material: forsterite), 90% of the disk mass is within 10 Earth radius. The disk vapor mass fractions are about 10-20%, which are consistent with Canup (2004) results. This may be an underestimate because iron is more volatile than magnesium. Mass loss from this disk will be small. The effects of initial condition differences will be discussed in the presentation. This is the first attempt to create a bridge between SPH results and a thermodynamic disk model.

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