Mercedes had a disappointing day after Nico Rosberg and Lewis Hamilton started on the front grid.
The team suspended Ryan following Lewis Hamilton's disqualification from the GP for misleading race stewards.
But Lewis Hamilton won the last grand prix in Hungary in an improving car.
Barrichello finished sixth behind Williams's Nico Rosberg and Jenson Button while Lewis Hamilton was last.
McLaren's Lewis Hamilton survived a puncture and another clash with Ferrari's Felipe Massa to finish fifth.
McLaren's world champion Lewis Hamilton showed some aggressive driving to post top-three lap times in both sessions.
Lewis Hamilton finished down in eighth and lost his championship lead to race winner Sebastian Vettel.
Button, fastest in first practice, is 35 points behind McLaren team-mate Lewis Hamilton, who tops the table.
McLaren last won a drivers' world title in 2008 with Lewis Hamilton, who recently moved to Mercedes.
World champion Lewis Hamilton, one of F1's best wet-weather drivers, agreed stewards had made the right call.
Ferrari's Fernando Alonso starts in third ahead of the McLarens of Jenson Button and Lewis Hamilton .
Smith, music legend Quincy Jones and Formula One driver Lewis Hamilton were among the stars introducing acts.
Should he return, Schumacher would go head-to-head with fellow world champions Jenson Button, Lewis Hamilton and Fernando Alonso.
Button will be defending his world title at McLaren, where he will drive alongside 2008 champion Lewis Hamilton.
The 61-year-old stepped down as world champion Lewis Hamilton's team boss on 16 January, but stayed involved in F1.
Championship leader Lewis Hamilton and McLaren team-mate Fernando Alonso have apparently called a truce following their very public spat.
BBC: SPORT | Motorsport | Formula One | Turkish GP qualifying as it happened
The penalty was issued for overtaking Lewis Hamilton in a safety car period.
Lewis Hamilton was ninth fastest as he continues his integration into the Mercedes team following his switch from McLaren.
That has left him almost two clear wins behind championship leader Lewis Hamilton of McLaren in the points table.
Lewis Hamilton worth about 27 Million per year for the next 5 years.
FORBES: The World's Most Valuable Sports Brands Discussion On The YES Network
And in February racing fans in Barcelona blackened their faces and taunted Lewis Hamilton, Formula One's first black driver.
Lewis Hamilton would have failed to win this year's title under such a system, which Ecclestone wants for 2009.
For Rosberg's teammate, Lewis Hamilton, this weekend will be his first grand prix since ending a 15-year association with McLaren.
CNN: Vettel off to a flier as Red Bull set the pace in Melbourne
The Renault driver left it late to deny Lewis Hamilton top spot, who had earlier set the day's fastest time.
Vettel could not find the pace required, while McLaren's soon-to-be deposed world champion Lewis Hamilton could manage only 18th place.
Lewis Hamilton won the 2011 race for McLaren, but will return in 2013 driving for the German car maker Mercedes.
Britain's Lewis Hamilton spun his Mercedes early in the second session but claimed sixth fastest ahead of his teammate Nico Rosberg.
"I think that would not even remotely register in the brain cells of Lewis Hamilton, " he told BBC Radio 5 Live.
But with Alonso qualifying third behind Webber's team-mate Sebastian Vettel and McLaren's Lewis Hamilton, the Australian has it all to do.
The Red Bull star was timed at one minute 22.693 seconds, nearly two seconds quicker than Lewis Hamilton in his Mercedes.
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