Discovery carries enough supplies to stay in orbit till Saturday, but NASA flight rules call for reserving that day in case of an unanticipated orbiter systems glitch or malfunction.
Sunita, who arrived at the station with the STS-116 mission, replaced European Space Agency Astronaut Thomas Reiter on the Expedition 14 crew at midnight on December 12.
NASA and Google also are finalising details for additional collaboration that include joint research, products, facilities, education and missions.
Finally after their fourth unscheduled spacewalk, Discovery astronauts have successfully retracted a stubborn solar panel on the International Space Station.
Indian-American astronaut Sunita Williams is all set for an unscheduled fourth spacewalk along with other members of the Discovery crew on Monday to retract the P6 port solar array on the International Space Station.
Only seven other US women and a single Russian woman have participated in the 281 spacewalks taken since 1965.
41-year-old Sunita, who became the second woman of Indian descent to venture into space after Kalpan Chawla, said she was all "excited" to go out and check the planet.
Bob Curbeam and Christer Fuglesang began their spacewalk, the second of their 12-day space shuttle mission, at 1.41 pm CST, and finished a full hour earlier than scheduled.
However, much is at stake for today's P6 solar array retraction. It is not expected to be a simple process. Since ISS went into orbit in 1998, it has been running on a temporary electrical system.
Two astronauts of space shuttle Discovery have stepped out into space completing the first of the three spacewalks aimed at extending and rewiring the International Space Station.
Sunita replaced German astronaut Thomas Reiter on the ISS, who will return to earth after a five-month sojourn in space.
The airlock at the lower pressure protects against decompression sickness, commonly called "the bends," as the two go to the even lower pressure of spacesuits on Tuesday.
Despite doubts about the take-off due to poor weather forecast and a two-hour delay before tanking operations, Discovery and its crew of seven lifted off from the Kennedy Space Center in Houston at 7:17 am IST.
England, Canada and Israel remained the nations generating the warmest feelings among Americans. Americans' warmth toward China, India and Israel grew the most.