RE: TiPS and Vanguard 3

From: Mike McCants (mmccants@io.com)
Date: Mon Aug 16 2004 - 14:09:04 EDT

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    Steve Newcomb wrote:
    
    > TiPS is my favorite telescopic sat, you get 2 for 1 plus the
    > flicker of light from the tether which can be long or short
    > depending on the its elevation. Would someone calculate for
    > my location what is the separation of the 2 sats, or the
    > lenght of the tether, for TiPS at the various elevations
    > above the horizon? How much will it vary because of eccentricity?
    
    4 Km at range R would be 4 / R * 3438 arc minutes in apparent size
    if it was perpendicular to your line of sight.  But it is perpendicular
    to the ground, so that value should be multiplied by the cosine of
    the angle of elevation above the horizon.  In addition, if you assume
    a "flat earth", then the range can be approximated by height divided
    by the sine of the angle of elevation.  That gives:
    
    angle = 4 / height * 3438 * cosine(elev) * sine(elev)
    
    For the mean height of 1000 Km:
    
     El   Size
     --   ---
      0   0.0
     10   2.4
     20   4.4
     30   6.0
     40   6.8
     50   6.8
     60   6.0
     70   4.4
     80   2.4
     90   0.0
    
    Mike McCants
    
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