Tidal disruption of inviscid protoplanets

Computer Science – Numerical Analysis

Scientific paper

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Computer Programs, Mathematical Models, Planetary Evolution, Protoplanets, Roche Limit, Tides, Viscosity, Collisions, Computerized Simulation, Hydrodynamics, Iron, Numerical Analysis, Planetary Cores, Silicates

Scientific paper

Roche showed that equilibrium is impossible for a small fluid body synchronously orbiting a primary within a critical radius now termed the Roche limit. Tidal disruption of orbitally unbound bodies is a potentially important process for planetary formation through collisional accumulation, because the area of the Roche limit is considerably larger then the physical cross section of a protoplanet. Several previous studies were made of dynamical tidal disruption and different models of disruption were proposed. Because of the limitation of these analytical models, we have used a smoothed particle hydrodynamics (SPH) code to model the tidal disruption process. The code is basically the same as the one used to model giant impacts; we simply choose impact parameters large enough to avoid collisions. The primary and secondary both have iron cores and silicate mantles, and are initially isothermal at a molten temperature. The conclusions based on the analytical and numerical models are summarized.

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