Comparison of Discovery Rupes, Mercury with terrestrial thrust faults - New estimates of the decrease in radius of the planet due to global contraction

Mathematics – Logic

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Mercury Surface, Geological Faults, Radii, Contraction, Stress Distribution, Mathematical Models, Photogrammetry, Displacement Measurement

Scientific paper

The maximum relief of Discovery Rupes is estimated to be about 1.5 km based on a digital elevation model generated by digital stereophotogrammetry using Mariner 10 stereo pairs. The horizontal shortening across Discovery, assuming that the height of the scarp is a function of the displacement on the fault, is estimated to be 2 to 6 km over a range in dip of the fault-plane of 2510. Using estimates of the displacement (D) and fault length (L) indicates that the thrust fault associated with Discovery is consistent with lower values of D/L expected for terrestrial faults. This is also the case for other lobate scarps on Mercury. Previous estimates by Strom et al. (1975) of the decrease in radius of Mercury due global contraction of 1 to 2 km are based on an average vertical displacement of 1 km assuming scarp heights range from 0.5 and 3 km. The results of this study indicate that lobate scarps have a range in maximum height of about 0.1 to 1.5 km. Thus, the decrease in the radius of Mercury resulting from global contraction may be on the order of 1 km or less.

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