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              <p>Tidal waves driven by Titan's orbital eccentricity through the time-dependent component of Saturn's gravitational potential attain nonlinear, saturation amplitudes ( |T|&gt;10 K, |u|&gt;20 ms, and |w|&gt;5 cms) in the upper atmosphere (=&gt;500 km) due to the approximate exponential growth as the inverse square root of pressure. The gravitational tides, with vertical wavelengths of &amp;tilde;100-150 km above 500 km altitude, carry energy fluxes sufficient in magnitude to affect the energy balance of the upper atmosphere with heating rates =&gt;10 ergcms in the altitude range of 500-900 km.</p>
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