Satellite Coverage Area Calculator

Satellite Coverage Area Calculator

Calculate horizon central angle, spherical cap area, ground footprint radius, percent of a body's surface, and a minimum elevation angle footprint approximation for satellite coverage.

🛰Coverage Presets
Calculator Inputs
All geometry is calculated in kilometers internally.
The selected body supplies the surface radius R.
Altitude is measured above the body's mean reference radius.
Elevation mask shrinks the usable footprint from the geometric horizon.
Approximation: alpha = acos((R/(R+h)) cos e) - e.
Optional scaling for antennas, sensors, or conservative planning.
Used only when custom fraction is selected.
Simple non-overlap sum is capped at the total surface area.
Used in result labels and the breakdown.
Enter mean body radius, not diameter.
Adds a second elevation-mask comparison in the analysis cards.
Options
📊Coverage Results
Central angle alpha 22.99 deg geometric horizon
Cap area 11.26M km^2 single satellite footprint
Ground radius 2,559 km arc distance R x alpha
Surface share 2.21% of selected body
🌍Current Scenario Checks
🔭Body Radius Reference
6378 kmEarth radiusdefault equatorial reference
1737 kmMoon radiuslow lunar coverage cases
3396 kmMars radiusMars relay footprint estimates
2piR2(1-c)cap areac is cos of central angle
📋Altitude Coverage Table
Satellite case Body Altitude Horizon angle Cap area
ISS-like low Earth orbitEarth420 km20.2 deg8.76 million km^2
LEO communications shellEarth550 km23.0 deg11.26 million km^2
Polar imaging orbitEarth700 km25.7 deg14.17 million km^2
Broadband LEO shellEarth1200 km32.7 deg24.00 million km^2
GPS-like MEOEarth20200 km76.1 deg193.70 million km^2
Geostationary orbitEarth35786 km81.3 deg216.40 million km^2
Low lunar orbiterMoon100 km18.9 deg1.02 million km^2
Mars relay orbitMars400 km26.5 deg4.89 million km^2
📐Formula Method
Horizon angle: The required horizon formula is alpha=acos(R/(R+h)), where R is body radius and h is satellite altitude.
Cap area: The coverage area is A=2*pi*R^2*(1-cos alpha), the surface area of a spherical cap.
Minimum elevation: The calculator can approximate alpha_e = acos((R / (R + h)) x cos e) - e, where e is the minimum elevation angle.
Ground radius: The footprint edge arc distance is s = R x alpha, with alpha in radians. Chord distance is also shown in the breakdown.
Coverage Notes
Elevation mask: A 5 to 10 degree minimum elevation angle is often a better planning footprint than the pure geometric horizon.
Overlap: The constellation result is a simple cap-sum limit. Real satellite networks need orbital spacing, antenna pattern, handoff, and overlap analysis.

If you’re reading this, odds are that you’re at a coffee shop, probably on your phone, and enjoying a good connection. Chances are you haven’t thought about all those satellites hanging overhead. As you move around, they hand off packets of data. The whole thing works because we don’t see it.

But to build those networks takes some careful geometry. How far can one satellite see across the curved surface of our planet? Before you launch all that pricey equipment, you’ve got to figure out the answer. That’s where this calculator comes in. It spits out math to make orbital altitude into something real: the area visible from the surface. No astrodynamics degree required.

Why Satellite Coverage Matters

This is the basic idea, and it’s easy to understand yet difficult to execute. Here’s why. A satellite doesn’t view entire globe. It views a spherical cap. Picture yourself holding a basketball in front of your face several feet away and turning on a flashlight. Your coverage area is the bright area illuminated by light. Now raise the light up. You have increased your coverage area. However, as you go farther out, the edge fades into darkness. This is like horizon for satellites.

The tool determines this distance (called the central angle) to the horizon line. It provides the distance from sub-satellite point to the rim of observable disk (arc distance). This arc distance is your footprint radius. Why does this matter? This tells us the maximum distance between ground station and the satellite. If the station move too far away, the satellite will drop below horizon and dissapears.

The elevation mask is a little-known but important practical fact. “You don’t want your signal grazing the horizon as it talks to the satellite. There’s too much atmosphere for signal to pass through. Low-angle links are blocked by terrain obstacles, rain fades and building interference. To prevent this, engineers enforce a minimum elevation angle. Often they go to five or ten degrees. This cuts off outer rim on the geometric horizon.

The calculator take this into account. It reduces the cap area accordingly to represent only usable portion of sky. It’s just a few degrees less, a tweak in terms of degrees. But that translates into a big decrease in coverage area. That’s what happens when you sacrifice area covered for improved link quality.

Scroll through the presets and you’ll start to get an idea how large a footprint various orbits have. Five-hundred-fifty kilometers above earth is considered low Earth orbit. Satellites there has relatively small footprints. They have footprint of a few million square kilometers each. Seems like a lot, right? But the Earth’s big. It would of take dozens or hundreds of such satellites to form some sort of continuous shell.

Much farther up, at something like thirty-six thousand kilometers, are geostationary satellites. These things sees nearly a third of the planet at any given time. Their footprints are massive. And yet because they’re so far away their latency is a problem. Delay causes real-time applications to suffer. The chart on the page spells all this out nicely for reference.

As altitude increases, you can see just how much their area jump. But the returns don’t equal doubling their altitude. They don’t gain twice the coverage. The geometry flattens out. How high do you put things? That’s up to how much you want to cover and what kind of latency you’re willing to accept. For mobile coverage across most of the globe, that means lots of satellites in low Earth orbit. To beam down to one continent, maybe geostationary would work.

You can play with body radius as well in the calculator. Handy when you’re doing a moonshot…or an actual shot at the moon. It’s a small world. So a low orbit takes up less area in absolutes. But it covers more in fractions. Same math, different scale.

A few quick notes on constellation planning: there’s a widespread misconception that with ten satellites you get ten times better coverage than one. Except, people ignore overlap. To make a seamless handoff from satellite to satellite, you need overlap at the edges of their footprints. Without overlap, there is gaps. This multiplier also exists as a simple number in the tool. However, this is an optimistic estimate. In reality, you need complex orbital placement to handle these handoffs.

It is a small thing, but it is important. Usually where the difference lies between a theoretical coverage map and a real network is in those overlap areas. In the end, a constellation must be practical while maintaining as much visibility as possible. How low can you go? As long as you get sufficient area. Can you afford it? What’s the highest elevation mask you can live with while maintaining acceptable data rates?

This is where the calculator comes in. It tells you basic geometry. It shows you raw potential of each orbit. Then you must consider user density, weather, and antenna. But it all begins with that spherical cap. Know your cap and you know your network. You’re just shining a light on the world. It happens one footprint at a time.

Satellite Coverage Area Calculator