After surviving a black hole/wormhole, what are the chances of Earth start orbiting in a new solar system?

In the event of our sun suddenly becoming a black hole or wormhole of sorts. It transports the earth to another solar system similar to ours. Would it be possible for our planet to start circling around that sun?

The earth surviving a wormhole does not need any explanation or calculation. It survives, okay, END OF STORY.

My question only concerns the possibility of our earth being spit out in a new solar system. Either orbiting around the new sun or around another nearby planet(size of Jupiter) as a moon. The relocated conditions on earth does not need to be able to sustain life on the surface.

Please give answers relating to the sun's/planet's gravitational force that would be needed to pull the earth into it's orbit. THANK YOU.

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After surviving a black hole/wormhole, what are the chances of Earth start orbiting in a new solar system?

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