Note:
Log On request made from KLA terminal at 18:03 and then followed by Voice Call at 18:39. Though both went unanswered they would not have gone unnoticed:
http://i2.cdn.turner.com/cnn/2014/images/05/27/flight.370.data.logs.pdf
Shortly afterwards the pilot takes MH370 off its northwesterly heading and veers south as if now realizing that ground control now know where he is and what he is doing and where he is heading.
At this point he was just barely north of Sumatra and able to skirt Indonesian radar as he turned south.
Inmarsat Frequency Burst chart shows significant change of frequency southwest toward the satellite at 18:29 proximate position N7.5E96 just above Sumatran Banda Aceh N5.55EE95.31 travelling at 485mph.
Trying to escape Malaysian radar and then avoid Indonesian radar the pilot turns SSW @ 485mph and 566 miles putting its position 70 minutes later just below the equator at its most westerly point relative to satellite at S0.5E94 @ 19:40.
From KLA until 19:40 the plane covered 1438 miles over 3 hours and had enough fuel onboard for another 5 hours @ 485mph or 2425 miles.
Australia is 2200 miles from that point meaning that if it flew until it ran out of fuel in that direction then it would be somewhere in western Australia.
485mph due south of its 19:40 position for 242 miles for another half hour would put it at S4.0E94 @ 20:11 before turning to the more easterly direction at which point the pilot would have slowed down as he turned more easterly.
The plane would have travelled 1734 miles over 3.5 miles to that point and from there to the search area S20E103.5 is another 1276 miles. It could have cruised to the search area then @ 319mph to be there at 0:11 — 4 hours later.
Distance from the 20:11 point to the upperpart of the final 0:11 Inmarsat Arc closer to Indonesia would be only about 982 miles which would have meant a slower average speed of 245mph over the last 4 hours to a ditching in the warmer smoother friendlier waters south of Java.
If it flew until it ran out of fuel then it is in kangarooland because it had enough fuel to reach there with fuel to spare — but that would defy the sanctity of the Inmarsat Arcs.
So which is it???