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Gravity/density equation? Giant ball of water

  1. Feb 27, 2015 #1
    Can you help me find the equation for determining density when also taking the object's own center of gravity into account?
    For example, say I have an Earth-sized volume of water (or pick any simple spherical object). You have to account for the increase of density as you go closer to the center of mass. Is there a simple equation to determine the change of density from R distance from the center of mass in this case?

  2. jcsd
  3. Feb 27, 2015 #2

    Quantum Defect

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    There are good analogies with calculating the change in density of the atmosphere with altitude. Google "adiabatic lapse" and "barometric formula". The difference between the atmosphere and a "big ball of water" is obviously two-fold -- the denisty and the compressibility are very different for the two.
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