Binary World Mechanics

I'm trying to develop a realistic system with a limited understanding of astrodynamics.

Is it possible to have two binary worlds capable of sustaining atmosphere and complex life orbiting one another at such close proximity that they dominate each other's skyline with even city lights of the other world in the sky being clearly visible at night? Does the scale of the worlds or the distances involved mean that that can simply never exist?

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Binary World Mechanics

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