Conversion from aircraft bearing to normal degrees

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SUMMARY

This discussion focuses on converting aircraft bearings, which are oriented clockwise from 0 to 360 degrees, to standard mathematical degrees, which are oriented counterclockwise from 0 to 360 degrees. The key formula for this conversion is ΔN = Rsin(450 - wcb) and ΔE = Rcos(450 - wcb), where wcb represents the clockwise bearing. The user initially encountered discrepancies in their data presentation due to the differing orientations of the bearings and has since resolved the issue by applying the correct conversion method.

PREREQUISITES
  • Understanding of trigonometric functions (sine and cosine)
  • Familiarity with coordinate systems (unit circle vs. compass bearings)
  • Basic programming knowledge for implementing formulas
  • Knowledge of data presentation and manipulation techniques
NEXT STEPS
  • Research the application of trigonometric functions in navigation systems
  • Learn about coordinate transformations in programming
  • Explore advanced topics in data visualization for presenting bearing data
  • Investigate the use of modular arithmetic in angle conversions
USEFUL FOR

Anyone involved in navigation, programming for aviation systems, or data analysis related to bearings and angles will benefit from this discussion.

michael atlas
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I have a list of bearings that I want to convert. The normal degrees circle is oriented with 0 to 360 going counter clockwise. I have degrees calculations that require this. I have a set of data from bearings from an aircraft where I need to convert those bearings to normal degrees bearings. As in, the bearings that I have are oriented 90 degrees out of phase and they go from 0 to 360 clock wise.

Attached is a picture of what I mean.

Does anyone know a formula to do this for any bearing to normal degrees?
 
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What was wrong with the method I gave you in your earlier thread?
 
I did not realize it until I had to present the data that I used the formula for in the code that I wrote, but the bearing was off. The bearing that aircraft use orients the degreesfrom 0 at north to 90 at east, to 180 at south, etc. The bearings that I had where I needed that formula for were oriented that way. That code worked only for bearings that were oriented in the way standard mathematics works: as in for the unit circle; 0 degrees is oriented on the right side of the circle and it increments up to 360 degrees as you go counter clock wise on the circle.

So for example, when I have a bearing that is 270 degrees, the code tells me the new lat and long was at a bearing of 90 degrees. and vice versa.

I had to convert my bearings to the standard orientation in math for 0, 90 180, 270, 360 unit circle. It's fine now because I figured out the conversion.

R/
Mike
 
I did not realize it until I had to present the data that I used the formula for in the code that I wrote, but the bearing was off. The bearing that aircraft use orients the degreesfrom 0 at north to 90 at east, to 180 at south, etc. The bearings that I had where I needed that formula for were oriented that way. That code worked only for bearings that were oriented in the way standard mathematics works: as in for the unit circle; 0 degrees is oriented on the right side of the circle and it increments up to 360 degrees as you go counter clock wise on the circle.

Mebbe so, but the formulae I posted before were already corrected.

Attached is a flowchart for programming the conventional non corrected formulae.
 

Attachments

  • bearing1.jpg
    bearing1.jpg
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Hmm I wonder if compass bearing in degrees=Mod(90-x,360) wouldn't do the trick.
 
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