220 feet of it with a 30lb stress rating. Will be purchasing tiny metal mooring connectors tomorrow that will allow the habitat to rotate in the wind without twisting the line.
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The solution is to have the habitat hanging independently on its own line. Even if the balloon is directly overhead, provided a long enough line the habitat should hang more or less level. And assuming it is always at (at least a slight) angle from the weight holding the line down, this solution is much better and will keep the habitat level regardless of the balloon's movement.