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Could we have more planets come into our system and get trapped by our suns gravitational field and rotate?

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Short answer: Yes, but it is very unlikely.

The probability that a random object drifts into the Sun's sphere of influence (SOI) is low (excluding tiny stuff like space dust and small rocks). But the chance that a full-blown rogue planet enters our Solar System is many orders of magnitude lower. Let's set up a Drake equation:

Let $R_n$ be the number of rogue planets in the galaxy, $R_{ns}$ the fraction of rogue planets that may enter the solar system, $R_e$ be the probability that one enters the Sun's SOI, $R_i$ be the probability that the planet will survive an encounter with a Solar System planet, $R_s$ be the percentage of all possible orbits for the rogue planet after the interaction that are long-term stable, and $R_o$ be the probability that the rogue planet gets captured into an orbit. Therefore, $$R_o=R_nR_cR_iR_s$$

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    $\begingroup$ A planet falling into the Sun's potential picks up the same kinetic energy that it loses in potential energy. To be captured it needs to interact with something else. $\endgroup$
    – ProfRob
    Jan 31 at 23:56
  • $\begingroup$ I'm not mad that people are downvoting my answer. I am just wondering, what could I do to improve this post (instead of just deleting it)? $\endgroup$ Feb 1 at 14:18
  • $\begingroup$ @ConnorGarcia Thank you for the detailed feedback. I will update my post according to your comments. $\endgroup$ Feb 1 at 21:35
  • $\begingroup$ @ConnorGarcia I have updated my answer to make it (hopefully) better and more accurate $\endgroup$ Feb 2 at 17:19

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