Maximum number of orbiting planets

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    Maximum Planets
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There is no fixed limit to the number of planets that can orbit a star like the Sun, as the definition of a planet is not universally agreed upon. The current understanding suggests that our solar system is "dynamically full," meaning additional planets would struggle to maintain stable orbits within it, primarily outside Neptune. The formation of new planets beyond Neptune ceased due to insufficient material and slow orbital velocities in that region. In binary star systems, the presence of a partner star can restrict stable zones for planets, while close encounters in star clusters can strip outer planets away. Ultimately, the classification of celestial bodies as planets is arbitrary and varies based on definitions, with the IAU's recent decisions highlighting the complexity of this categorization.
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How many planets can orbit one Sun?
 
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There is no fixed limit. First you'd have to define a planet. I believe the IAU's definition only applies to our solar system. If a planet can be anything larger than a speck of dust, then the number for our sun is probably in the quadrillions.

Our solar system is said to be "dynamically full". That is, you can't place a planet inbetween any other two planets and have it remain stable for long periods of time. So for our solar system, you only hopes of adding more planets would be exterior to Neptune. And I believe there's room for one more interior to Mercury.

Our solar system stopped producing planets beyond Neptune because the disk of material didn't have enough mass at that distance, and or the orbital velocities are too slow at that distance to ensure that enough collisions take place.

Additionally, stars in binary systems have their stable zones limited by their binary partners, but there could be planets orbiting the pair of stars from a great distance.

And stars that spend too much time in star clusters can have their outer planets stripped away by close stellar encounters.

So its a function of a lot of things.
 
It also depends on what you mean by a planet!
There are a vast number of bits of rock / dust / ice orbiting the sun - calling 9 (now 8!) of them planets is a purely arbitrary distinction.
 
Yep, there's no truly scientific definition of "planet"...it's a spectrum of possibilities...although the IAU recently voted on a working definition which resulted in Pluto being redesignated as a "dwarf planet".
 
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