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Formation of the Solar System (Astrophysics Homework Help)

  1. Oct 9, 2012 #1
    1. The problem statement, all variables and given/known data

    Formation of the Solar System

    The distance of Venus is about 0.7 AU, and the orbital radius of Jupiter is about 5.2 AUs. How many times hotter is the region where Venus formed compared to the region where Jupiter formed? Enter numbers and decimal point only. Round off to the nearest tenth.

    2. Relevant equations
    3. The attempt at a solution


    The temperature of a region of the solar system depends on how close it is to the sun, according to the inverse square law:

    T = k/R²

    where "k" is some constant. So:

    Tvenus / Tjupiter = (k/Rvenus²) / (k/Rjupiter²)
    = (Rjupiter / Rvenus)²
    = (5.2 AU / 0.7 AU)²

    I arrived at Venus' region being 55.2 times hotter than Jupiter region and it is wrong.

    Thank you in advance for your help.
     
  2. jcsd
  3. Oct 10, 2012 #2

    CWatters

    User Avatar
    Science Advisor
    Homework Helper

    It's not

    T = k/R2

    It's inverse square root.
     
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