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Coupled orbital and thermal evolution of Ganymede

Showman, Adam P. and Stevenson, David J. and Malhotra, Renu (1997) Coupled orbital and thermal evolution of Ganymede. Icarus, 129 (2). pp. 367-383. ISSN 0019-1035. https://resolver.caltech.edu/CaltechAUTHORS:20131015-135920024

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Abstract

We explore the hypothesis that passage through an eccentricity-pumping resonance could lead to the resurfacing of Ganymede. To do so, we couple R. Malhotra's (1991, Icarus 94, 399–412) orbital model for the tidal evolution of the Laplace resonance to an internal model of Ganymede. Our model explores the conditions under which Ganymede can undergo global thermal runaway, assuming that the Q/k of Ganymede is strongly dependent on internal temperature. (Here Q is the tidal dissipation function and k is the second-degree Love number.) We allow the system to pass through the ω_1/ω_2≈ 2 or ω_1/ω_2≈ 1/2 resonance, where ω_1≡ 2n_2−n_1, ω_2≡ 2n_3−n_2, and n_1, n_2, and n_3 are the mean motions of Io, Europa, and Ganymede. If Ganymede's initial internal temperature is either “too hot” or “too cold,” no runaway occurs, while for intermediate temperatures (∼200 K in the upper mantle), conditions are “just right,” and runaway occurs. The range of mantle temperatures that allows runaway depends on the model for tidal Q; we use the Maxwell model, which ties Q to the creep viscosity of ice. Runaways can induce up to ∼50–100 K warming and formation of a large internal ocean; they occur over a 10^7 to 10^8-year period. Assuming carbonaceous chondritic abundances of radionuclides in Ganymede's rocky portion, however, we find that the interior cannot cool to the initial temperatures needed to allow large runaways. If our model is correct, large runaways cannot occur, although small runaways are still possible. Different formulations of tidal Q or convective cooling may allow large runaways. Large runaways are also possible if radionuclides are substantially depleted, although this is unlikely. We next consider the consequences of a large runaway, assuming it can occur. Ganymede can undergo 0.5% thermal expansion (by volume) during the largest thermal runaways. Melting of the ice mantle provides up to 2% expansion despite the fact that contraction produced by melting ice I offsets expansion produced by melting high-pressure ice phases. Solid–solid phase transitions cause negligible satellite expansion. Lithospheric stresses caused by expansion of 2% over 10^7 to 10^8 years are ∼10^2 bars at the surface, and drop to a few bars at several kilometers depth. Such stresses could cause cracking to depths of several kilometers. The cracking and near-surface production of warm or partially molten ice make resurfacing a plausible outcome of a large thermal runaway. The tidal heating events proposed here may also be relevant for generation of Ganymede's modern-day magnetic field.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1006/icar.1997.5778 DOIArticle
ORCID:
AuthorORCID
Stevenson, David J.0000-0001-9432-7159
Malhotra, Renu0000-0002-1226-3305
Additional Information:© 1997 by Academic Press. Received April 25, 1996; revised May 5, 1997. We thank G. Schubert, P. Schenk, and W.B. McKinnon for useful discussions. This research was supported by NASA Grant NAGW-185 and by an NSF graduate fellowship. A portion of this research was done while R.M. was a Staff Scientist and A.P.S. was a Visiting Graduate Fellow at the Lunar and Planetary Institute which is operated by the Universities Space Research Association under Contract NASW-4574 with the National Aeronautics and Space Administration.
Funders:
Funding AgencyGrant Number
NASANAGW-185
NSF Graduate FellowshipUNSPECIFIED
NASANASW-4574
Issue or Number:2
Record Number:CaltechAUTHORS:20131015-135920024
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20131015-135920024
Official Citation:Adam P. Showman, David J. Stevenson, Renu Malhotra, Coupled Orbital and Thermal Evolution of Ganymede, Icarus, Volume 129, Issue 2, October 1997, Pages 367-383, ISSN 0019-1035, http://dx.doi.org/10.1006/icar.1997.5778. (http://www.sciencedirect.com/science/article/pii/S001910359795778X)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:41924
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:16 Oct 2013 19:42
Last Modified:07 Apr 2020 17:50

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