Dynamic Elastic Tides
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10569_2016_Article_9682.pdf
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665.1 KB
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Adobe PDF
Checksum (MD5)
082da752b8b1b5b61c5a3311710d708a
Author(s)
Wisdom, Jack
Meyer, Jennifer Ann
Date Issued
April 2016
Journal
Celestial Mechanics and Dynamical Astronomy
Publisher
Springer Netherlands
Citation
Wisdom, Jack, and Jennifer Meyer. “Dynamic Elastic Tides.” Celestial Mechanics and Dynamical Astronomy (April 4, 2016).
Version
Author's final manuscript
Abstract
This is an exploration of dynamic tides on elastic bodies. The body is thought of as a dynamical system described by its modes of oscillation. The dynamics of these modes are governed by differential equations that depend on the rheology. The modes are damped by dissipation. Tidal friction occurs as exterior bodies excite the modes and the modes act back on the tide raising body. The whole process is governed by a closed set of differential equations. Standard results from tidal theory are recovered in a two-timescale approximation to the solution of these differential equations.
MIT Department
Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s10569-016-9682-3
