(CNN) -- England opener Alastair Cook continued his remarkable scoring spree on the second day of the second Ashes Test in Adelaide as Australia's bowlers wilted under a blazing sun.
England ended the day on 317 for two wickets, a lead of 72 over the home side who made a paltry 245 in their first innings.
Cook, who scored an unbeaten 235 in the drawn first Test in Brisbane, was undefeated on 136, with Kevin Pietersen still there on 85.
The pair have put on an unbroken third wicket partnership of 141 runs and ominously for Australia have hardly been troubled on an excellent wicket for batting at the Adelaide Oval.
England vice-captain Cook has scored 438 runs for just once out in the series.
"It's important to cash in when things do go your way," the 26-year-old told Sky Sports.
"It's about not getting complacent, it's a mental switch that you have to start at nought again.
"That was one of the challenges I had this week - trying to back up what I did last week."
The Essex left-hander reached his 15th Test century with a boundary off spinner Xavier Doherty, while partner Pietersen is closing on his 17th Test ton having rediscovered his best form in Australia.
Cook had a reprieve on 64 when he was given out caught behind off Peter Siddle, but the TV review showed the ball had hit his arm rather than his bat and umpire Marais Erasmus reversed his decision.
Australia made a breakthrough in the first over of the day when England skipper Andrew Strauss left a Doug Bollinger delivery which clipped the top of his wicket.
He departed for just one, but Jonathan Trott joined Cook in a superb stand of 173 runs for the second wicket as England took control.
Trott went to Ryan Harris, the pick of a lackluster Aussie attack, for 78, but Pietersen and Cook batted through to the close.
Trott looked set for his third straight century in Ashes Tests after his 119 at the fifth Test at The Oval last year as England won that series 2-1 and 135 in Brisbane last week.
Trott was dropped in the gully by Mike Hussey off Doug Bollinger shortly after coming to the wicket, survived a run-out scare and a third life on 76 when wicketkeeper Brad Haddin missed a high two-handed chance down the leg-side off a Harris bouncer.
It summed up Australia's poor fielding in the series and left captain Ricky Ponting a frustrated figure as England in their last two innings of the series have scored 834 runs for just three wickets.