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A new planet in orbit about the Sun has a semi-major axis of 1.68 AU and an eccentricity of 0.0938. What is the perihelion distance of the new planet in AU?

If we discover a new planet in our solar system with a period of 14900.0 years, how far is the planet from the Sun in AU?

A star with the same mass of the sun has a newly discovered planet whose semi-major axis of 2.31 AU and an eccentricity of 0.078. What is the aphelion distance (in AU) of the new planet?

 Jan 24, 2021
 #1
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First one:

 

Semi-major axis   1.68 AU

 

a = 1.68

rmin = a (1-e)

       = 1.68 ( 1 - .0938) = 1.52 AU   (perihelion)

 Jan 24, 2021
 #2
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Thank you so much you rock!

Skatergoat  Jan 24, 2021
 #3
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Kepler's Third Law

 

P2 = a3

149002 = a3

a= 2810.55 AU

 Jan 24, 2021
 #4
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rmax = a(1+e)       a = 2.31 AU     e .078           (  rmax  is aphelion )

 Jan 24, 2021
 #5
avatar+59 
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Thank yousmiley

Skatergoat  Jan 24, 2021
 #6
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You're welcome.....   Hope I got 'em correct ! smiley      There are no guarantees  .... haha   

Guest Jan 24, 2021

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