HR: 1340h
AN: P53B-1242 [Abstracts]
TI: Tidally-driven Fractures on Europa: Historical Overview and New Modeling Techniques
AU: * Sarid, A R
EM: alyssa@eps.berkeley.edu
AF: University of California - Berkeley, Department of Earth and Planetary Science
307 McCone Hall #4767, Berkeley, CA 94720, United States
AU: Hurford, T
EM: hurfordt@core2.gsfc.nasa.gov
AF: NASA Goddard Space Flight Center, Code 698, Greenbelt, MD 20771,
AU: Huff, E M
EM: emhuff@berkeley.edu
AF: Lawrence Berkeley National Laboratory, 1 Cyclotron Road
Mail Stop 50R5008, Berkeley, CA 94720,
AU: Manga, M
EM: manga@seismo.berkeley.edu
AF: University of California - Berkeley, Department of Earth and Planetary Science
307 McCone Hall #4767, Berkeley, CA 94720, United States
AB:
Cycloids are made up of linked arcuate segments and were observed in both Voyager and Galileo imagery. It
has been proposed that cycloids are fractures that propagate in response to the tidal stress field, which changes
throughout each orbit due to Europa's eccentricity. Several studies have tested tidal models by generating
cycloidal features and comparing them to actual cycloids, resulting in compelling evidence for non-synchronous
rotation. Also, recent modeling of cycloids in equatorial regions has shown that the obliquity of Europa is large
enough to affect the formation of surface features. In addition to constraining the orbital and rotational
parameters that control Europa's tidal stress field, modeling of cycloidal fractures can provide constraints on the
mechanical properties of the ice shell.
Despite the successes of cycloid modeling, the methodology for generating cycloids and comparing them with
actual data could be greatly improved and more widely applied. Only five cycloids have been modeled although
dozens of global-scale features can be identified in the Galileo images. And although equatorial cycloids provide
the best constraints on the amount of obliquity and direction of the spin pole, only one cycloid in this region has
been successfully modeled, mostly due to the increased parameter space and lack of symmetry in the stress
field. Searching for best fits by hand is no longer feasible, especially for the large number of cycloids needed to
precisely constrain Europa's orbital and rotational parameters. In addition, past cycloid modeling has not relied
on a quantitative measure of goodness of fit when matching hypothetical cycloids to the observed features. While
this approach may have been satisfactory for early work, as fits improve, it becomes increasingly important to
have a consistent and quantitative measure with which to evaluate modeled cycloids. Moreover, a quantitative
measure of misfit can be translated into uncertainties for model parameters.
We are currently developing a new method of cycloid modeling that combines the standard tidal model (including
obliquity) with an automated and quantitative fitting program and a Markov Chain Monte Carlo algorithm to search
the parameter space. Our preliminary work has shown that this method is effective when applied to a synthetic
crack; the algorithm does indeed "find" the parameters with which the crack was generated. Our ongoing work
involves mapping and modeling large-scale equatorial cycloids, using this upgraded method, in order to
constrain the amount of obliquity, direction of the spin pole, non-synchronous rotation rate, and amount of stress
generated by non-synchronous rotation.
DE: 5450 Orbital and rotational dynamics (1221)
DE: 5475 Tectonics (8149)
DE: 6221 Europa
SC: Planetary Sciences [P]
MN: 2007 Fall Meeting