Why Does a Shuttle Need to Be in a Circular Orbit for Apparent Weightlessness?

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SUMMARY

A shuttle does not need to be in a circular orbit to achieve apparent weightlessness; any freefall trajectory, including elliptical or parabolic orbits, results in the same effect. Both the astronauts and the shuttle experience weightlessness due to falling at the same acceleration. The design of the Shuttle did not specifically aim for apparent weightlessness; it was merely a byproduct of maintaining a stable orbit.

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Is it important that a shuttle surrounds the Earth in an circular orbit in order the astronauts (and the shuttle itself) to have 0 apparent weight and so be considered as in state of apparent weightlessness?
 
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No, as long as they are in freefall at all, in an elliptic orbit, or a parabolic curve that will return to earth, both astronauts and shuttle are falling at the same acceleration and so weightless.
 
I don't think it was a part of anybody's design constraints to achieve apparent weightlessness on the Shuttle. That was just a consequence of achieving a stable orbit.
 

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