A tentative mathematical description of the oscillating peak model of multi-ring basin formation

Physics

Scientific paper

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Cratering, Planetary Craters, Structural Basins, Astronomical Models, Mathematical Models, Surface Waves

Scientific paper

The oscillating peak model of basin and crater formation proposed by Murray is analyzed mathematically. It is assumed that due to the interaction between the shock and the ground, the shock wave will be reflected causing the rebound. A coupling between gravitational collapse and rebound will result in the vertical oscillation of the center of the crater. Dramatic hydrodynamic behavior is ascribed to shock-fluidization of the whole area within the main outer rim, which refers to the IV ring in the case of a multiring basin. This process is based on the activities of Murray (1980). The problem presented here is considered by applying the theory of shallow water waves generated by a damped periodic impressive pressure. Axial symmetry is assumed throughout this process.

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