Shock-wave studies - Modeling the giant planets

Mathematics

Scientific paper

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Gas Giant Planets, Mathematical Models, Planetary Structure, Planetology, Shock Waves, Atmospheric Composition, Equations Of State, Helium, Hydrogen, Jupiter (Planet), Neptune (Planet), Planetary Atmospheres, Planetary Gravitation, Saturn (Planet), Thermodynamic Properties, Uranus (Planet)

Scientific paper

Internal structure models of the giant planets, Jupiter, Saturn, Uranus, and Neptune, have been constructed using the equations of state, based on recently conducted shock-wave experiments. Most of the shock-wave data used to model the giant planets were obtained with a two-stage gas gun. To achieve conditions comparable to those in the interiors of the planets, the basic constituent elements were shocked from the liquid phase, and the thermodynamic properties of hydrogen, helium, water, ammonia, methane, and the rocky core, believed to be mostly composed of iron, were obtained. It was determined that iron melts at a pressure of 250 plus or minus 20 GPa at a calculated temperature of about 5500 to 6000 K. Thus, the internal structure of Jupiter was modeled, so as to explain all of its observed properties while retaining the same proportion of constituent elements as existed in the sun when it was formed. The characteristics of Neptune and Uranus have also been reconciled, assuming a solar composition of ice and rocky components. It is thought that a similar rocky core on the order of 14 to 21 earth masses exists in all four giant planets. It was concluded that the experimentally based equation-of-state models are in much better agreement with the planetary structural models than are the theoretical equation-of-state models.

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