Aster SchoolOperator track

Lesson 01 / 04

Your first orbit.

Your satellite circles 350 km up at 7.8 km/s. Change its speed at one point, then watch the far side of the path move.

Orbit simulation, drawn face-on. The burn point is at the bottom of the path and the far side is at the top, half a lap away.

Your one control

Drag the handle, use the arrow keys, or step by 0.1 km/s.

Tick these off by doing them

  1. Set velocity

    Move the handle off 7.8 km/s.

    Now 7.8
  2. Run the orbit

    Follow the satellite for a lap.

    Not yet
  3. Compare the path

    Run one more speed.

    0 of 2 speeds

Try this

Drop to 7.0 km/s, about 10% slower. Which part of the path reaches the atmosphere first?

Guess before you run it. Then press Run and watch where the satellite turns hot.

Show the answer

The far side. The burn point stays 350 km up, because that is where the satellite was when its speed changed. The opposite side of the path drops to about 40 km, well under the 100 km edge of the atmosphere.

So the satellite meets the air on its way down to the far side: about 26 minutes after the burn, 61° before it gets there.

What just happened

One change at the burn point moves the far side.

You changed one thing, in one place. The path changed half a lap away.

At 7.8 km/s the satellite falls toward the planet at the same rate that the ground curves away under it. It stays 350 km up the whole way round. That is a circular orbit.

When you change the speed, the satellite is at the burn point, so its height there cannot change. What changes is how far it swings out, or in, when it reaches the other side: faster lifts the far side, slower lets it sink.

Small nudges are close to even: +0.2 km/s lifts the far side by 104 km and −0.2 km/s lowers it by 92 km. Slow down to 7.1 km/s or less and the far side sinks under 100 km, where the air is thick enough to heat the satellite and stop it.

Three paths from one burn point: 7.4, 7.8 and 8.2 km/s. The burn point stays at 350 km; the far side moves from 177 to 573 km. BURN POINT always 350 km
Fig. 1Same burn point, three speeds. The burn point stays 350 km up every time. Only the far side moves: 573 km at 8.2 km/s, 177 km at 7.4 km/s.

Recap

What you can do now

  • Hold a circular orbit by keeping the speed at 7.8 km/s at this height.
  • Predict which side moves when you change speed: the far side, half a lap from the burn.
  • Spot a reentry before you run it: any path whose far side is lower than 100 km.

Next · Lesson 02

Changing height with a second burn

One burn moved the far side. In Lesson 02 you make a second burn when the satellite gets there, and the orbit is circular again, only higher.

  1. 01Your first orbitThis lesson
  2. 02Changing heightNext
  3. 03Meeting another satellite12 min
  4. 04Coming home safely14 min