Conversion from aircraft bearing to normal degrees

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Discussion Overview

The discussion revolves around converting aircraft bearings, which are oriented clockwise from north, to standard mathematical degrees, which are oriented counterclockwise from the positive x-axis. Participants explore the necessary formulas and methods for this conversion, addressing issues with previous calculations and clarifying the orientation differences.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant seeks a formula to convert aircraft bearings (0 to 360 degrees clockwise) to standard mathematical degrees (0 to 360 degrees counterclockwise).
  • Another participant questions the effectiveness of a previously provided method for conversion.
  • A participant reflects on an error in their earlier calculations, noting the difference in orientation between aircraft bearings and standard mathematical bearings.
  • One participant suggests a potential formula: compass bearing in degrees = Mod(90 - x, 360) as a solution for the conversion.
  • A participant references a previous thread where they provided formulas for the conversion, including ΔN = Rsin(450 - wcb) and ΔE = Rcos(450 - wcb).

Areas of Agreement / Disagreement

Participants express differing views on the effectiveness of various formulas for conversion, and there is no consensus on a single correct method. Some participants acknowledge errors in previous calculations while others assert that their proposed formulas are already corrected.

Contextual Notes

Participants discuss the orientation of bearings and the implications for conversion, indicating that the formulas depend on the definitions of the coordinate systems used. There are unresolved aspects regarding the accuracy and applicability of the proposed formulas.

Who May Find This Useful

Individuals interested in navigation, programming related to geographic data, or those working with coordinate transformations in mathematics may find this discussion relevant.

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.
 
Last edited:

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