At the end of the Cassini mission, could the probe be put into orbit around Titan to observe it on a permanent basis?

Titan is a fascinating place. It is the most massive (by a factor of 60) moon of Saturn. It is also the only moon in our solar system with a dense atmosphere and liquid on its surface, in this case liquid methane and ethane. The presence of complex hydrocarbons has even raised the possibility of extraterrestrial life. Scientists would be thrilled to have Cassini permanently remain in orbit around Titan. Unfortunately, this is impossible due to the amount of fuel available to make orbit changes.

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