Complex Math (NAV) Problem
#11
With The Resistance
Joined: Jan 2006
Posts: 6,191
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From: Burning the Agitprop of the Apparat
This is the classic "fix to fix" we all hated in UPT. It can be done in the aircraft without an E6B. I'm going to change the fix just a bit to make things easier (fly from 180/80 to the 090/20)
The easiest way I've been able to describe this process is to look at your RMI or HSI as a smaller "god's eye" view of the actual situation. The middle of the HSI/RMI represents the VOR station.
The tail of the needle at the outer ring of the HSI/RMI card represents the more distant (from the station) fix, in this case the 180/80. In this example it also represents your current location in the "world" of the HSI. You now must "eyeball" a proportionate location for the other fix on the 090 radial on the HSI. Since the outside ring of the HSI or RMI (where the tail of the needle is) represents 80 DME, then the 090/20 (1/4 of 80 DME) would be 1/4 of the distance from the middle of the HSI on the 090 radial.
You can now visualize both fixes on the face of the HSI. Where you are and where you want to go. You turn to make the imaginary course between those two points appear vertically on your HSI. This would be your no wind heading from your current position to the new fix.
I don't know if I helped or just made the situation worse. All I can say is thank goodness for GPS.
The easiest way I've been able to describe this process is to look at your RMI or HSI as a smaller "god's eye" view of the actual situation. The middle of the HSI/RMI represents the VOR station.
The tail of the needle at the outer ring of the HSI/RMI card represents the more distant (from the station) fix, in this case the 180/80. In this example it also represents your current location in the "world" of the HSI. You now must "eyeball" a proportionate location for the other fix on the 090 radial on the HSI. Since the outside ring of the HSI or RMI (where the tail of the needle is) represents 80 DME, then the 090/20 (1/4 of 80 DME) would be 1/4 of the distance from the middle of the HSI on the 090 radial.
You can now visualize both fixes on the face of the HSI. Where you are and where you want to go. You turn to make the imaginary course between those two points appear vertically on your HSI. This would be your no wind heading from your current position to the new fix.
I don't know if I helped or just made the situation worse. All I can say is thank goodness for GPS.
#12
#14
If you have a military issue E6B, on one side of the sliding scale at the bottom is a bunch of grid squares.
Place the center grommet "o" right at the top of this grid on the perpindicular line.
Rotate so that your present position radial is at the top dead center of the compass rose
Each line down the center of the grid is scaled. I don't have one with me, so I am doing this from memory. One side has 15, 30 and 45, and the other side has something else. If you do the math on the number of lines between the numbers, one side is in increments of 3, and the other side might be 10.
Scale out whatever DME you are and make a mark straight down dead center from the grommet. If you want, label this position one.
Rotate the compass rose until your desired radial is underneath top dead center, and once again make a mark with the DME position you are trying to hit. (use the same scale for both problems i.e. if you used the 3 increments for the postion 1, then make sure to measure in 3s for postion 2)
Rotate the dots until position 1 is directly on top of position 2, you may have to move the grommet down into the grid square to make sure the two dots are on top of the same vertical line.
The heading at the top of the compass rose with the two dots aligned vertically is the no wind heading to go from radial/DME postion 1 to radial/DME position 2
Ironically, this was in the old Navigation For Pilot Training book Air Training Command Phamphlet 51-16, and the pencil method visualize the RMI and make the vertical line method was in Air Navigation Manual 51-40 used at Nav School. The Nav book said it may be more accurately solved using the E6B, which was the method taught at Nav School. Pilot Training taught the pencil visualize method which was in the Nav School Book.
If I could have found a whiz wheel, I would have scanned it in with each step, because it really is simple once you see it. I show it to the students today, just to prove how much of a dinosaur I am getting to be, and so they can practice fix to fixes with each other, and one person can be the arbiter of accuracy by judging off the whiz wheel, if they can find one.
Place the center grommet "o" right at the top of this grid on the perpindicular line.
Rotate so that your present position radial is at the top dead center of the compass rose
Each line down the center of the grid is scaled. I don't have one with me, so I am doing this from memory. One side has 15, 30 and 45, and the other side has something else. If you do the math on the number of lines between the numbers, one side is in increments of 3, and the other side might be 10.
Scale out whatever DME you are and make a mark straight down dead center from the grommet. If you want, label this position one.
Rotate the compass rose until your desired radial is underneath top dead center, and once again make a mark with the DME position you are trying to hit. (use the same scale for both problems i.e. if you used the 3 increments for the postion 1, then make sure to measure in 3s for postion 2)
Rotate the dots until position 1 is directly on top of position 2, you may have to move the grommet down into the grid square to make sure the two dots are on top of the same vertical line.
The heading at the top of the compass rose with the two dots aligned vertically is the no wind heading to go from radial/DME postion 1 to radial/DME position 2
Ironically, this was in the old Navigation For Pilot Training book Air Training Command Phamphlet 51-16, and the pencil method visualize the RMI and make the vertical line method was in Air Navigation Manual 51-40 used at Nav School. The Nav book said it may be more accurately solved using the E6B, which was the method taught at Nav School. Pilot Training taught the pencil visualize method which was in the Nav School Book.
If I could have found a whiz wheel, I would have scanned it in with each step, because it really is simple once you see it. I show it to the students today, just to prove how much of a dinosaur I am getting to be, and so they can practice fix to fixes with each other, and one person can be the arbiter of accuracy by judging off the whiz wheel, if they can find one.
#15
Not too many civvies have the military E6B, but my ASA unit has a headwind-crosswind determination table on it with a square grid located just below the regular wind side markings, suitable for this problem. Works well and gives accurate course corrections.
I also tried a few more examples of the other method the ASA book gives for the slide rule side, and found it is pretty inaccurate, especially for large course corrections. I would never use that method as long as we have a grid method.
I also tried a few more examples of the other method the ASA book gives for the slide rule side, and found it is pretty inaccurate, especially for large course corrections. I would never use that method as long as we have a grid method.
#16
... Resurrecting dead thread
He asked because this question is on the Sheppard air gouge for a Delta interview. I googled the question since I also had no idea how to figure this out via an easy method and was led to this old thread. No idea if this question is really asked, but if it is there will be no wiz-wheel and to the best of my knowledge, no calculator capable of sine, cosine, and tangent.
He asked because this question is on the Sheppard air gouge for a Delta interview. I googled the question since I also had no idea how to figure this out via an easy method and was led to this old thread. No idea if this question is really asked, but if it is there will be no wiz-wheel and to the best of my knowledge, no calculator capable of sine, cosine, and tangent.
#17
On Reserve
Joined: Sep 2013
Posts: 19
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... Resurrecting dead thread
He asked because this question is on the Sheppard air gouge for a Delta interview. I googled the question since I also had no idea how to figure this out via an easy method and was led to this old thread. No idea if this question is really asked, but if it is there will be no wiz-wheel and to the best of my knowledge, no calculator capable of sine, cosine, and tangent.
He asked because this question is on the Sheppard air gouge for a Delta interview. I googled the question since I also had no idea how to figure this out via an easy method and was led to this old thread. No idea if this question is really asked, but if it is there will be no wiz-wheel and to the best of my knowledge, no calculator capable of sine, cosine, and tangent.
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