The inflation process may be better described as "unfolding" since it takes very little air to bring the pod to full size, experts said. Only about 0.4 pounds per square inch (psi) is needed to expand BEAM to its full shape.
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The expansion caused a popping sound not unlike that of popcorn as the structure slowly filled out, live video feed from the space station on NASA television showed.
NASA is testing expandable habitats astronauts might use on the Moon or Mars in the coming decades.
Efforts to inflate the flexible habitat got under way around 9 am (1300 GMT) after the first attempt failed on Thursday because of too much friction between the pod wall's fabrics, possibly because it had been left packed longer than originally planned.
Astronauts are expected to re-enter the module several times a year throughout the two-year technology demonstration to retrieve sensor data and assess conditions inside the unit, including how well it protects against space radiation, the US space agency said.
Bigelow Aerospace developed the first-of-its-kind habitat as part of an $18 million contract with NASA.
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Fully expanded, the module is 13 feet long (four meters) by 10.5 feet (3.23 meters) wide.
Expandable habitats' benefit lies in the little space they take up in spacecrafts' cargo holds while providing greater living and working space once inflated.
But key questions that remain to be answered include how well such pods would protect people against solar radiation, debris and the temperature extremes of space.