Mathematics – Logic
Scientific paper
Aug 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005dps....37.6305s&link_type=abstract
American Astronomical Society, DPS meeting #37, #63.05; Bulletin of the American Astronomical Society, Vol. 37, p.765
Mathematics
Logic
Scientific paper
Cycloidal crack patterns on Europa are generated by tides induced by orbital eccentricity, which in turn is driven by the Laplace orbital resonance (Hoppa et al., Science, \textbf{285}:1899-1902, 1999). Their shapes record the location of their formation, as well as the parameters of crack formation. Hoppa et al. modeled each cycloid chain using a fixed set of material parameters to match the general shape of the observed features, but the details often did not fit. We now allow material parameters to vary for each arc of an observed cycloid. This freedom allows us to better fit the observed pattern, but does not allow so much freedom as to make the fit non-unique. In general, minimal variation of model parameters between the arcs of a cycloid chain results in greatly improved fits. Furthermore, accounting for stress accumulated during non-synchronous rotation, in addition to diurnal stress, allows even better fits.
Hoppa et al. (Icarus, \textbf{153}: 208-213, 2001) showed how modeling cycloid formation can indicate the frequency of cracking relative to the non-synchronous rotation period, e.g. they showed that three recent cycloids had to have formed in different periods of non-synchronous rotation. Our work better constrains the location where each cycloid must have formed. It confirms the finding that only a few cracks are formed per cycle of non-synchronous rotation, probably because cracking relieves built up stress until further substantial rotation occurs. On Europa, geologic features are directly linked to orbital and rotational dynamics (Greenberg, Europa, the Ocean Moon, Springer -Praxis, 2005).
Greenberg Richard
Hurford Terry A.
Sarid Alyssa Rose
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