2 reasons why it takes long for the outer planets to orbit around the sun?

1 Answer
Write your answer here...
Start with a one sentence answer
Then teach the underlying concepts
Don't copy without citing sources


Write a one sentence answer...



Explain in detail...


I want someone to double check my answer

Describe your changes (optional) 200

Mar 9, 2018


Longer orbits and slower speeds


  1. The orbits of the outer planets is longer. So, even if the orbital speeds of the outer planets had been the same as the inner planets (they are not - see point 2), they would have taken more time to complete an orbit( #T propto R/v#).
  2. The gravitational force of the sun is weaker than on the inner planets due to the inverse square nature of the force- this means that the centripetal acceleration is smaller, leading to a smaller velocity : #v^2/R propto 1/R^2 implies v propto R^(-1/2)#

Combining the two gives us Kepler's third law

#T propto R/R^(-1/2) = R^(3/2) qquad \mbox{or}qquad T^2 propto R^3#

Was this helpful? Let the contributor know!
Trending questions
Impact of this question
15 views around the world
You can reuse this answer
Creative Commons License