Calculating orbital heights using known FOV

From: John Locker (john@satcom.freeserve.co.uk)
Date: Mon Oct 25 2004 - 03:02:55 EDT

  • Next message: David Brierley: "DMB Obs October 24"

    Last week I was playing around with a couple of videos taken earlier in the 
    year , showing objects moving "near" to the geo belt.
    
    George Roberts very kindly pointed out that an object moving with a 
    differential speed ( compared to a geosat ) of about 450 km /hour  would 
    likely be in an orbit  a little over 3000 km "below" the geos....and also 
    supplied me with the mathematical data to do my own calculations.
    
    As I am going through a "senior moment " or two in the maths dept , I 
    decided to see if  I could find  a web based orbit calculator ....and here 
    it is 
    http://liftoff.msfc.nasa.gov/academy/rocket_sci/orbmech/vel_calc.html
    
    As I targetted a known satellite , in drift mode , W3A , I have a reference 
    to work to.
    TLEs for W3A during drift show it 50 km or so below the arc.
    
    By applying a grid to my video images , which have a FOV of 30 arc minutes , 
    I can calculate the movement to within a few km/hour.
    W3A exhibits a differential speed of 15 km hour.
    
    Using the orbit calculator , I see that  reducing the orbit by a 100 km 
    results in a differential in the region of 25-30 km /hour.
    This ties in nicely with my visual obs of W3a in drift.
    
    The other two drifters have a differential speed of 450 km/hour .....putting 
    them at a height of around 32,500 km , just as George suggested.
    
    All three objects move from west to east.
    
    As most geos are  put into graveyard at around 150-200 km "above" the arc , 
    I have two options with the lower birds . They could be one and the same , 
    seen a few weeks apart , or they could be separate satellites , at an obital 
    height of 32,500 km , with a period of about  21.18 hours.
    
    If the latter , can anyone suggest what they might be ?
    
    
    Many thanks ,
    
    John.
    
    
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