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Help interpret latitude/longitude coordinates of DJI hyperlapse data

DJ Wes

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I have been provided a DJI hyperlapse JSON file and the corresponding DJI flight log file. I am trying to interpret the longitude and latitude values stored in the JSON file. For each waypoint in the hyperlapse JSON file there is this data:

{
"index": 1747007499241,
"px": 25.863846,
"py": -82.58746,
"pz": -162.21922,
"height": 16.660797,
"gimbal_pitch": -3.4,
"gimbal_roll": 0,
"gimbal_yaw": -63.008133,
"longitude": -1.3876699869292957,
"latitude": 0.7782552034686965,
"altitude": 231.22551,
"traj_id": 0
},

Notice that the longtude/latitude values are not in the typical DMS (degree, minutes, seconds) or DD (decimal degrees) format. Does anyone recognize this format? I would like to convert these into DMS format. From the flight log I know that the above values correspond to (roughly) lat,long: 44.590766,-79.507704 .
 
Last edited:
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Google in AI mode:

what kinds of gps coordinates are these: convert radians "longitude": -1.3876699869292957,"latitude": 0.7782552034686965, to gps dms
or
what kinds of gps coordinates are these: "longitude": -1.3876699869292957,"latitude": 0.7782552034686965

The coordinates you provided:
longitude": -1.3876699869292957, "latitude": 0.7782552034686965 are in radians. Radians are a unit of angular measurement, like degrees, but based on the radius of a circle.
Converting Radians to Decimal Degrees
To convert from radians to decimal degrees, you need to multiply the radian value by 180/π.
  • Longitude: -1.3876699869292957 * (180/π) ≈ -79.52 degrees
  • Latitude: 0.7782552034686965 * (180/π) ≈ 44.59 degrees
Converting Decimal Degrees to DMS
Now that you have the coordinates in decimal degrees, you can convert them to Degrees, Minutes, and Seconds (DMS) as requested:

  1. Degrees:The whole number part of the decimal degrees is the degree value.
    • Longitude: -79°
    • Latitude: 44°
  2. Minutes:Multiply the decimal part of the degree value by 60 to get the minutes.
    • Longitude: 0.52 * 60 ≈ 31.2 minutes
    • Latitude: 0.59 * 60 ≈ 35.4 minutes
  3. Seconds:Multiply the decimal part of the minutes value by 60 to get the seconds.
    • Longitude: 0.2 * 60 = 12 seconds
    • Latitude: 0.4 * 60 = 24 seconds
Therefore, the GPS coordinates in DMS are:
  • Longitude: -79° 31' 12"
  • Latitude: 44° 35' 24"
Summary of GPS Coordinate Formats:
  • Decimal Degrees (DD): Uses decimal numbers for latitude and longitude.
  • Degrees, Minutes, Seconds (DMS): Uses degrees, minutes, and seconds to represent coordinates.
  • Degrees, Decimal Minutes (DDM): Uses degrees and decimal minutes.
  • Radians: Another way to express angles, particularly used in calculations and some programming applications.
convert radians "longitude": -1.3876699869292957,"latitude": 0.7782552034686965, to gps dms

To convert radians for latitude and longitude into degrees, minutes, and seconds (DMS), use this formula:

Degrees = Radians × (180°/π)
Then, separate the degrees, minutes, and seconds from the decimal result.
1. Convert Radians to Decimal Degrees:
  • Longitude:-1.3876699869292957 radians
    • -1.3876699869292957 * (180/π) ≈ -79.516805 degrees
  • Latitude:0.7782552034686965 radians
    • 0.7782552034686965 * (180/π) ≈ 44.598687 degrees
2. Convert Decimal Degrees to DMS:
  • Longitude: -79.516805°
    • Degrees: -79°
    • Minutes: 0.516805 * 60 = 31.0083 minutes
    • Seconds: 0.0083 * 60 ≈ 0.498 seconds
    • Since it's a negative longitude, it's West longitude.
    • Result: 79° 31' 00.5" W
  • Latitude: 44.598687°
    • Degrees: 44°
    • Minutes: 0.598687 * 60 = 35.92122 minutes
    • Seconds: 0.92122 * 60 ≈ 55.27 seconds
    • Since it's a positive latitude, it's North latitude.
    • Result: 44° 35' 55.3" N
Therefore, the conversion of the provided radians to GPS DMS is:
  • Longitude: 79° 31' 00.5" W
  • Latitude: 44° 35' 55.3" N
 
Last edited:

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