Queendom Tools

Radar Horizon Calculator

For radar and RF engineers, mariners and radio amateurs checking line-of-sight coverage before a link or watch — this tool applies the Bowditch horizon distances, 1.17√h visual and 1.22√h radar with h in feet, and adds both horizons when a target height is entered. The Bowditch distance to the horizon in nautical miles is 1.17×sqrt(h) visual and 1.22×sqrt(h) radar (where h is in feet); the range to a target adds both horizons.

0.0 nm
0.0 km

How to Use This Tool

  1. Choose ft or m from the unit dropdown — both height fields follow it.
  2. Enter the antenna (or eye) height above sea level.
  3. Optionally enter the target height; leave it blank for the antenna's own horizon.
  4. Pick Visual (1.17) or Radar (1.22) mode and read the total range in nm and km, with the substituted formula shown underneath.

FAQ

Q: What is the formula for radar horizon distance?
A: D(nm) = 1.22 × √(antenna height in feet); add √(target height in feet) inside the bracket for a target, and use 1.17 instead of 1.22 in visual mode — these are the Bowditch horizon distances.
Q: How far can a 100 ft radar antenna see?
A: 1.22 × √100 = 12.2 nm, about 22.6 km; adding a 25 ft target gives 1.22 × (10 + 5) = 18.3 nm, about 33.9 km, assuming a standard atmosphere.
Q: Do I have to convert metres to feet myself?
A: No — the unit dropdown converts each height to feet with 3.28084 ft/m before the formula runs, and the result is shown in both nautical miles and kilometres (1 nm = 1.852 km).
Q: Why are there two coefficients, 1.17 and 1.22?
A: 1.17√h gives the visual horizon and 1.22√h the radar horizon in nautical miles with h in feet; the tool applies whichever matches the mode you select and assumes a standard atmosphere.