At the Bigelow Aerospace factory here, the full-size space station mockups sitting on the warehouse floor look somewhat like puffy white watermelons. The interiors offer a hint of what spacious living in space might look like.

“Every astronaut we have come in here just says, ‘Wow,’ ” said Robert T. Bigelow, the company founder. “They can’t believe the size of this thing.”

Four years from now, the company plans for real modules to be launched and assembled into the solar system’s first private space station. Paying customers — primarily nations that do not have the money or expertise to build a space program from scratch — would arrive a year later.

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