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    Re: Navigating Around Hills and Dips in the Ocean
    From: George Istok
    Date: 2003 Aug 16, 22:31 -0500

    Mr. Huxtable,
    
    Though I am now in agreement with you, I came to that position by a slightly
    different argument (that may or may not be valid).  I assumed a completely
    isolated sphere of a light matter covered with water, a distance from the
    center of the sphere to the surface of the water, a value (G) for the
    gravitational attraction at the surface of the water, and that the surface
    of the water at any point must always be at a distance from the center of
    the sphere such that the value of G is constant.  I then introduced a much
    smaller sphere made of a dense matter into the original sphere so that the
    smaller sphere does not encompass the center of the larger sphere.  The
    center of gravitational attraction of these combined bodies is somewhere on
    a line between their two centers.  Since, at this instant, the shape of the
    original sphere and distribution of water covering the sphere has not
    changed, then, at the surface of the water "above" the small sphere, the
    value of the gravitational attraction is not G but something larger.  Thus
    the water must move away from the center of the original sphere until the
    gravitational attraction is again G.  That is, a "mound" of water appears.
    
    I do not claim that the argument above is whole or that it is valid, but it
    did convince me that there will be a mound over an anomaly where the
    attraction is stronger and a dip where it is weaker.  Your argument is much
    simpler and even more convincing.
    
    George Istok
    
    
    

       
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