CZ
CalcyZone
Geodesy & Distance CalcyZone Calculator

GPS Coordinate Converter

Convert GPS coordinates between Decimal Degrees (DD), Degrees Minutes Seconds (DMS), and Degrees Decimal Minutes (DDM).

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WGS-84 Ellipsoid
Point 1 Coordinates (Origin)
Point 2 Coordinates (Destination)
Calculated Geodetic Solution
40° 42' 46.08" N, 74° 0' 21.6" W
Decimal Degrees40.7128°, -74.006°
Latitude DMS40° 42' 46.08" N
Longitude DMS74° 0' 21.6" W
🗺️ Interactive Geographic Map & Geodesic Trajectory

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Map Data: © OpenStreetMap ContributorsWGS-84 Precision Geodesic Curve

Step-by-Step Mathematical Derivation

1. Given Input Coordinates:
  • Latitude: 40.7128°
  • Longitude: -74.006°
2. Model & Ellipsoid Reference:WGS-84 / Earth Sphere R = 6,371 km
3. Governing Geodesic Formula:Degrees = floor(DD), Minutes = floor((DD - D)*60), Seconds = (MinFloat - M)*60
4. Variable Substitution:Lat: 40.7128 -> 40° 42' 46.08"
5. Interpretation & Practical Application:

Converted decimal coordinates to degrees, minutes, and seconds format.

Mathematical Formula

Degrees = floor(DD), Minutes = floor((DD - D)*60), Seconds = (MinFloat - M)*60

Overview & Explanation

Converts geographic position formats between standard Decimal Degrees and navigation DMS or DDM notations.

How It Works

  • Splits decimal integer portion into degrees and computes fractional minutes and seconds.

Practical Applications

  • Aviation and maritime navigation.
  • GIS mapping software integration.
  • GPS receiver input formatting.

Worked Example: Convert 40.7128° N

Convert 40.7128 to DMS.

1

Extract DMS

40° + 0.7128*60 = 42.768' -> 42' + 0.768*60 = 46.08"

= 40° 42' 46.08" N

Frequently Asked Questions

What is the difference between DD and DMS?
Decimal Degrees (DD) represents coordinates as a floating point number (e.g. 40.7128°), while DMS expresses it in degrees, minutes, and seconds.

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