A simple mechanical model of Valhalla basin, Callisto

Physics

Scientific paper

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Callisto, Planetary Craters, Ring Structures, Satellite Surfaces, Structural Basins, Failure Modes, Lithosphere, Shell Theory, Spherical Shells, Jupiter, Satellites, Callisto, Valhalla Basin, Models, Multi-Ring Basins, Origin, Lithosphere, Fragmentation, Collapse, Patterns, Faults, Stress, Thickness, Structure, Mathematical Models, Maps, Photographs, Plasticity, Asthenosphere, Analysis, Data

Scientific paper

The Valhalla basin on Callisto is a multi-ringed structure that extends over much of the satellite's surface. Although its appearance differs in detail from lunar multi-ringed basins, its origin may also be attributed to lithospheric fragmentation accompanying collapse of the transient crater formed by an impact event. This paper explores the mechanics of the collapse process by treating the lithosphere as a thin elastic-Von Mises plastic sheet (plane geometry) or shell (spherical geometry). Flow of the underlying asthenosphere inward toward the crater cavity induces plastic failure of the lithosphere and produces a characteristic pattern of faults in the disrupted lithosphere. The pattern and extent of faulting is a function of a single dimensionless parameter that involves the strength and thickness of the lithosphere, the crater depth and diameter, and the surface gravity of the planet. The tectonic structures of Valhalla correspond well with the failure pattern expected for a large crater produced in a thin (circa 30 km) weak (strength less than 100 bar) lithospheric shell.

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