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Antenna Height for Distance Calculator

Use the common 4/3-Earth radio-horizon approximation with the height of the other antenna.

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Quick answer: Estimate antenna height needed for a target radio-horizon distance. Coverage: Worldwide. No account is required.

Worked examples

  • Eye height near sea level — With eyes about 1.7 m above sea level, the refracted-horizon estimate is roughly 5 km.
  • 100 m viewpoint — At 100 m elevation above a clear horizon, the estimate increases to roughly 39 km.
  • Antipode example — New York's antipodal coordinate is approximately -40.71, 105.99.

Limits & appropriate use

Terrain intelligence carries one dominant limit: the model sees bare earth at ~90 m spacing with metres of vertical error, and is blind to canopies, walls and wires. Every downstream answer inherits it — profiles show terrain truth with noisy amplitude, line-of-sight verdicts are pending trees, horizons assume open ground, and solar radiation averages assume an unshaded panel. The second limit is temporal: climate letters and hardiness zones are thirty-year character, not this year's behaviour, and seismicity is a mood, not a hazard model. Each result here is printed with its recipe precisely so these boundaries travel with the number.

The value proposition is screening-grade truth at zero cost: orientation for sites, gardens, antennas, shoots and curiosity, with the upgrade points clearly marked. When money or safety attaches to the answer — tower siting, flood insurance, structural shading, avalanche terrain — the escalation is professional: licensed survey, certified shade studies, regulatory flood determinations and geological hazard services. A good free tool makes that ladder visible instead of pretending to be the top of it.

  • Construction and tower siting → licensed topographic survey.
  • Flood decisions → regulatory determinations (FEMA/FIRM in the US).
  • Solar finance → certified shade and production studies.

Data & methodology

Inverts the common d≈4.12(√h1+√h2) radio-horizon approximation with metres and kilometres. Elevation and radiation use Open-Meteo's open API on Copernicus/ERA5 datasets; visibility math adds standard refraction (k = 0.13). US hydrology/flood layers come from USGS and FEMA public services.

For source details, licences and model limitations, see Data Sources and Methodology.

Related tools

Category: Earth Science. Results are intended for everyday analysis and planning unless a page explicitly states otherwise.

How to use

  1. 1Enter desired link distance.
  2. 2Enter the other antenna height.
  3. 3Read approximate required height for the first antenna.

Methodology & accuracy

Inverts the common d≈4.12(√h1+√h2) radio-horizon approximation with metres and kilometres. Read more on the methodology page.

Frequently asked questions

Will this guarantee a radio link?

No. Terrain, Fresnel clearance, frequency, antenna gain and propagation conditions matter.

What model is used?

A standard 4/3-Earth radio-horizon approximation.