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It's not really a trick question, but I think it's a difficult one.
"M" wrote in message oups.com... On Mar 3, 3:18 pm, "Jon Woellhaf" wrote: What fixed compass heading would hold to fly from JFK to SFO (assuming no wind correction)? Is it a trick math question? It's certain won't be the great circle route, which has a continuous changing magnetic heading to hold. Given the difference of magnetic variation between west coast and the east coast, I'm not certain this can be calculated using a math formula. Such a magnetic heading can be deduced by a computer simulation using the brute force method. |
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"Jon Woellhaf" wrote in
: It's not really a trick question, but I think it's a difficult one. "M" wrote in message oups.com... On Mar 3, 3:18 pm, "Jon Woellhaf" wrote: What fixed compass heading would hold to fly from JFK to SFO (assuming no wind correction)? Actually, I believe there are many right answers, but it largely depends on how many laps one is willing to make around the globe before finally reaching SFO... |
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If you wanted an approximation, start with a guess. look 50 miles
along that course line, note the deviation and variation at that point and use it to calculate where you'd be for a 100 mile flight. Repeat from that point about 30 times until you are abeam SFO. Now, since that's about a 3000 mile trip, adjust your initial guess by 1 degree for every 50 miles you're off, then try again. We used to call that approach a numerical solution, or brute strength calculation, it probably has a sexier name now. There's a neat implication here. If you want to arrive within say 10 miles of your target after holding constant heading for 3000, your heading has to really really be constant -- like to the tune of arc tan (10/3000) or 0.2 degrees. That's a really tight tolerance to hold on average. Remember Linburgh arriving over Ireland within a few miles of where he intended, after crossing the ocean? Lucky Lindy indeed! going On Mar 4, 1:00 pm, "Jon Woellhaf" wrote: It's not really a trick question, but I think it's a difficult one. "M" wrote in message oups.com... On Mar 3, 3:18 pm, "Jon Woellhaf" wrote: What fixed compass heading would hold to fly from JFK to SFO (assuming no wind correction)? Is it a trick math question? It's certain won't be the great circle route, which has a continuous changing magnetic heading to hold. Given the difference of magnetic variation between west coast and the east coast, I'm not certain this can be calculated using a math formula. Such a magnetic heading can be deduced by a computer simulation using the brute force method.- Hide quoted text - - Show quoted text - |
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