Ang: Earth shadow radius

From: b_gimle@algonet.se
Date: Tue Oct 12 2004 - 09:29:13 EDT

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    Rob Matson's SkyMap (and other graphic programs with accurate shadow computation?)
    will easily give you position and size (diameter, or the chord that the 
    geo belt traverses on a given date)
    To get km, move the crosshair to a geo belt sat, press T to read the range, 
    then multiply by 2*tan(width/2).
    
    See http://www.algonet.se/~b_gimle/geoflare.htm
    and the its first image (http://www.algonet.se/~b_gimle/gif/Geo_NL.gif)
    and the .cfg file I used to construct it : http://www.algonet.se/~b_gimle/gif/GEO_NL.
    CFG 
    
    Actually, since the chart shows satellites during a <= 30 min interval, and the 
    shadow appears to move by about 2 degrees per hour, it does appear about 
    1 degree wider than it is.
    
    >----Ursprungligt meddelande----
    >Från: john@satcom.freeserve.co.uk
    >Datum: Oct 10, 2004 2:01:59 PM
    >Till: SeeSat-L@satobs.org
    >Ärende: Earth shadow radius
    >
    >Hi all,
    >
    >
    >Jeff recently asked about the radius of earth shadow , as cast on the geo 
    >arc , under perfect conditions.
    >
    >For my location , here in the UK , I should be able to get an accurate 
    >"guesstimate" ... if there is such a thing , by observing the track of 
    earth 
    >shadow this evening....the peak of the eclipse/outage season for this 
    >latitude.
    >However , as I seem to be clouded in again , its highly unlikely that 
    I will 
    >get the opportunity.
    >
    >
    >Looking at the video timings from the other night , I can see that the 
    >leading edge of the shadow was moving at a rate of  one degree every 3.5 
    >minutes or so , which is about right....and as the satellites at 28.5 
    >degrees were coming out of eclipse , the birds at 16 east were just 
    >entering.
    >So , this gives a shadow diameter of  12.5 degrees.
    >Converting this to  km , I get a figure of  9250km.
    >I would expect this figure to be in excess of  12,800 km tonight , when 
    >everything is lined up .
    >
    >Does this seem right ?
    >I'd appreciate any comments from more proficient math students  ;O)
    >
    >The video has also revealed that the geos in orbit over Europe are now 
    >increasing in magnitude , just prior to eclipse , to a level of mag 8 
    or 
    >better , bringing them into bino range.
    >This became apparent when I started to examine the dropped frames from 
    >friday's recordings.
    >
    >
    >Regards,
    >
    >John.
    >
    >
    >
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