I reckon start checking it out from 9pm. Titan's shadow comes on first - might even be on by then? Let me go and properly calculate.
Best you work from the animation (if you can work out how to step it):-
http://science.nasa.gov/headlines/y2...ransit2009.gif
The text says:- "
The event begins on Tuesday morning, Feb. 24th at 10:54 UT when Titan's circular shadow falls across Saturn's cloudtops. About forty minutes later, the ruddy disk of Titan itself moves over the clouds."
Australian Eastern Summer time is UT + 11 hr, so shadow falls from 9:54pm Tuesday evening 24th Feb.
"At 14:24 UT, all four satellites and their shadows will simultaneously dot Saturn's disk" hence at AEST 1:24am Wed morning 25th Feb.
Hope my conversions are right.