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Ubify Core Engineering Team

SOFTWARE ENGINEERS & SYSTEMS ARCHITECTS

~2 min read
~369 words
VERIFIED NOVEMBER 2026
Verified for W3C & ECMA-404 Standard Compliance

About This Tool

Evaluate geometric line-of-sight propagation ranges and compare radar horizon coverage factors directly in your browser. Terrestrial radio links, maritime radar antennas, and optical observation masts must overcome planetary curvature and atmospheric refraction to maintain direct line-of-sight links.

This sizing tool models horizon reach and curvature clearance using three antenna parameters: Primary Dimension (val1, representing antenna mast elevation or radar height), Operating Coefficient (val2, representing atmospheric refraction coefficient or 4/3 Earth radius multiplier), and System Loss Factor (val3, representing terrain obstruction or elevation margin factor). The calculation evaluates the primary proportional horizon index as (val1 × val2) / val3, the secondary geometric mean index via √(val1 × val2), and the elevation clearance percentage as (val1 / (val1 + val2)) × 100.

For example, with an antenna elevation baseline of 100, an atmospheric refraction coefficient of 20, and an obstruction loss factor of 5, the primary horizon index evaluates to (100 × 20) / 5 = 400.00, the geometric mean index yields √(2000) ≈ 44.72, and the proportional height distribution calculates to (100 / 120) × 100 ≈ 83.33%.

All line-of-sight metrics evaluate client-side in your local browser JavaScript engine. No mast elevations, GPS coordinates, or radar parameters are sent to any external server.

How to Use

  1. 1

    Enter your antenna elevation or mast height in the Primary Dimension / Load field.

  2. 2

    Specify your atmospheric refraction or propagation factor in the Operating Coefficient field.

  3. 3

    Input your terrain obstruction or safety margin in the System Loss Factor field.

  4. 4

    Review the calculated proportional horizon index, geometric index, and elevation distribution percentage.

Frequently Asked Questions

What mathematical equation does this horizon sizer evaluate?

The utility computes primary proportional horizon range via (val1 × val2) / Math.max(0.01, val3), secondary geometric index via √(val1 × val2), and elevation ratio via (val1 / (val1 + val2)) × 100.

How does this comparative index relate to standard optical horizon formulas (d ≈ 3.57 × √h)?

Standard physical horizon range evaluates distance in kilometers using d ≈ 3.57 × √h (or 4.12 × √h for 4/3 radar refraction). This calculator provides comparative proportional workload ratios for relative antenna sizing.

Are any radar tower locations or height data stored remotely?

No. All evaluation runs locally in client-side memory on your device.

    Radar & Line-of-Sight Distance to Horizon Size | Ubify Tools