Help interpret latitude/longitude coordinates of DJI hyperlapse data

[DJ Wes]

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 .

 

[DJ Wes]

I'm replying to my own post. I figured out how to interpret those coordinates. DJI is storing the coordinates in radians, not degrees.

 

[EyesWideShut]

I'm replying to my own post. I figured out how to interpret those coordinates. DJI is storing the coordinates in radians, not degrees.

I knew someone smart enough would quickly come along and answer your question.

 

[mavic3usa]

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