Radio Line-of-Sight Calculator
Enter antenna heights to compare pure geometric horizon distance with the common 4/3-Earth radio-horizon approximation.
How to use this tool
- 1Enter the first antenna height above local ground.
- 2Enter the second antenna height.
- 3Compare geometric and 4/3-Earth horizon estimates.
Quick answer: Estimate horizon-limited radio line of sight from two antenna heights. Coverage: Worldwide. No account is required.
Estimate horizon-limited RF range from antenna height
Raising either antenna extends the geometric horizon because the line of sight reaches farther around Earth. The page shows both a pure geometric estimate and the widely used 4/3-Earth approximation, which represents average atmospheric refraction by increasing the effective Earth radius.
A horizon calculation is only one part of RF planning. Fresnel-zone clearance, terrain, buildings, frequency, antenna pattern, gain, transmitter power and local weather can determine whether a real link works. Treat the result as an early screening figure, not an engineering sign-off.
When this tool is useful
Use Radio Line-of-Sight Calculator when the question matches the method the page actually uses. Typical workflows include:
- Compare two or more scenarios involving RF line of sight calculator without creating an account or installing desktop software.
- Use the output as a planning or teaching reference, then move to an official or specialist source if the result affects legal, safety, engineering or financial decisions.
- Run the same workflow for locations in different countries while keeping units and assumptions consistent.
Worked examples
These examples are meant to show how to interpret this kind of output, not to replace the values produced from your own inputs.
- 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.
How to interpret the result
The most common errors come from using a correct result to answer the wrong geographic question. Keep these points in mind for Radio Line-of-Sight Calculator:
- Include your height inputs explicitly (eye height, mast height, deck level) when sharing visibility results: the same hill answers differently for a child, an adult and a 10 m antenna, and unstated heights make numbers unreproducible.
- Treat climate and hardiness outputs as 30-year character, not this year's weather: a zone tells you what winters usually allow, and microclimates — walls, slopes, urban heat — shift a real garden half a zone either way.
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
Uses standard horizon approximations: 3.57√h km geometric and approximately 4.12√h km under a 4/3-Earth refraction model, summed for two antennas. 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.
Key terms worth knowing
- DEM
- Digital elevation model: a grid of terrain heights, e.g. Copernicus GLO-90.
- Refraction coefficient
- The standard 0.13 factor bending sightlines over the curvature.
Go deeper: guides & original studies
Use these resources when you need the reasoning behind the calculation, a comparison with another geographic method, or an example of the same approach applied across a dataset.
Related tools
If this page answers only part of your question, these tools use a nearby but different method or dataset.
Editorial guidance: MapBench explains the method and limitations so the tool can be used as a transparent reference, not as a black-box answer. For legal boundaries, safety-critical routing, surveying, engineering, regulated decisions or official statistics, verify the result with the responsible authority or a qualified professional.
Category: Earth Science. Results are intended for everyday analysis and planning unless a page explicitly states otherwise.
Frequently asked questions
Clear answers about the calculation, accuracy and appropriate use.
Does this guarantee an RF link?
No. Terrain, buildings, Fresnel-zone clearance, frequency, power, antenna gain and atmospheric conditions also matter.
What is the 4/3-Earth model?
A common engineering approximation that represents average atmospheric refraction by increasing effective Earth radius.
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