How would two planets with identical but perpendicular orbits affect each other?

I'm exploring this idea for a fantasy world, and I was wondering how these planets would affect each other. The system would feature orbits in all three dimensions, not relatively flat like ours is.

Assume the speed of the orbits are slightly different; assume they'd pass close by each other but not hitting each other often. I know the frequent near-hits would affect the gravity of the planets somehow, and they'd have to hit each other eventually.

What would be the effects on the environment, gravity, etc. just before the collision?

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How would two planets with identical but perpendicular orbits affect each other?

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