Orbit Map

Reading a satellite inspector: altitude, period, inclination

Open any object in a satellite tracker and you get a short column of numbers. They look independent, but they are not - most of them constrain each other, and with one formula you can check a period against an altitude on the back of an envelope.

Take a real example. ASTRID 2, a small Swedish research satellite launched in 1998, shows up in the inspector with NORAD number 25568, an altitude of 988 km, a period of 105 minutes and an inclination of 82.95°. Here is what each of those tells you.

The ASTRID 2 satellite in the inspector with NORAD number 25568, altitude 988 km, period 105 minutes and inclination 82.95 degrees
ASTRID 2: 988 km, 105 minutes, 82.95°. The period and altitude agree, which is worth checking.

Altitude

Height above Earth's surface. Straightforward, with one catch worth knowing: the physics works from the centre of the Earth, not the surface. When you do any calculation, add Earth's radius - about 6,371 km - first.

For ASTRID 2 that gives an orbital radius of roughly 6,371 + 988 = 7,359 km.

Period

How long one full orbit takes. It is not a free parameter - it is fixed by the size of the orbit. Kepler's third law gives the relationship:

T = 2π × √(r³ / μ)

where r is the orbital radius and μ, Earth's gravitational parameter, is 398,600 km³/s².

Plug in ASTRID 2's radius of 7,359 km. r³ is about 3.985 × 10¹¹; divide by 398,600 and you get about 999,800; the square root is about 1,000; multiply by 2π and you get roughly 6,280 seconds, or 104.7 minutes. The inspector says 105. They agree.

That check is worth doing once, because it turns two numbers on a screen into a relationship you understand. Try it on the Space Station: 6,371 + 420 = 6,791 km gives about 93 minutes, which matches what trackers show.

Speed

For a near-circular orbit, speed also follows from radius alone: v = √(μ / r). For ASTRID 2 that is √(398,600 / 7,359), about 7.36 km/s - more than 26,000 km/h. Lower orbits are faster; higher ones slower. The Moon, far out, dawdles along at about 1 km/s.

Inclination

The tilt of the orbit against the equator, from 0° to 180°.

  • - directly over the equator, moving east with Earth's rotation.
  • Around 51.6° - the Space Station, which is why it only passes over latitudes up to about 51.6° north and south.
  • 90° - a polar orbit, crossing both poles.
  • Above 90° - retrograde, travelling against Earth's rotation. Sun-synchronous orbits sit here, at about 98°.

The inclination sets the furthest latitude a satellite's ground track reaches. ASTRID 2's 82.95° takes it close to both poles, so over time it passes above almost the entire planet.

Apogee and perigee

An orbit is rarely a perfect circle. Apogee is its highest point, perigee its lowest. When the two are close, "altitude" is a fair single summary. When they are far apart, a single altitude hides a lot.

The gap between them gives the eccentricity - how stretched the orbit is. Using radii from the centre of the Earth:

e = (rapogee − rperigee) / (rapogee + rperigee)

A value near 0 is almost circular. Transfer orbits and Molniya orbits run far higher.

Country and launch year

Not orbital numbers, but often the most revealing. A piece of debris launched decades ago and still up there tells you its orbit is high enough that drag barely touches it. A cluster of fragments sharing a launch year and country usually traces back to one breakup.

Why the numbers can drift

Every value comes from an element set measured at a particular moment. Over time, especially for low orbits, drag lowers the altitude and shortens the period together - the relationship holds, the orbit just gets smaller. Checking the element age tells you how fresh the snapshot is.

Keep reading