Re: AW: Super tracking device at SpaceCom?

From: Tyler MacKenzie (tmackenz@mta.ca)
Date: Wed Apr 12 2000 - 09:50:22 PDT

  • Next message: McConahy, Ralph: "RE: Glove in orbit (was: Super tracking device at SpaceCom?)"

    >...the decay rate of an
    >object in earth orbit is governed by density (mass) vs frontal area (or
    >average frontal area) and atmospheric density (variable).
    >
    >...This would imply
    >that small objects such as steel fasteners could remain in orbit
    >(thereby creating a hazard) long after the larger (trackable) peices
    >(say, from an explosion of a booster) had decayed.
    >
    >Would anyone care to comment?
    
    This argument is neglecting the peculiarities of scaling.  Drag certainly
    is proportional to the cross sectional surface area in perpendicular plane
    to the velocity vector.  This area is proportional to the square of the
    diameter of the (circular) object.  The momentum of the object is what drag
    has to push against, and this momentum is directly proportional to mass and
    thus volume.  Volume is proportional to the CUBE of diameter.  So all
    things being equal and ideal, a 15cm long glove has a drag:momentum ratio
    of 1, then a 15 metre fabric spacecraft (i.e. a 100x GIANT glove) would
    have a cross section and drag 10,000 times greater, but its mass/momentum
    would be 1,000,000 times greater.  That is, the drag relative to the
    momentum of the GIANT glove is only 1% of that of the regular one.  To make
    a long story short: the glove, and anything else really small, would more
    quickly decay because the proportional drag versus mass is very high.
    
    This is just my two-cents, I'm no expert but I love physics.  And to make
    this a little more on-topic: I suggest someone dig through the TLEs and
    plot the drag terms versus height and RCS/line zero spacecraft dimension
    data.
    -Tyler
    
    
    
    
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