Revise: Projectile motionSatellite motion

Projectiles and satellites move in curved paths due to the effects of gravitational force. By considering motion in horizontal and vertical directions, we can predict their path.

Part ofPhysicsRevision guides: Dynamics

Satellite motion

Projectile motion - satellites

In the previous section we have seen that a projectile will follow a very predictable curved path in air.

However when the projectile is given a greater speed, it goes further.

The reality of the situation is that the Earth is curved.

Side view of Earth showing projectile fired from north pole which travels a quarter of the way around before landing at equator.
Figure caption,
Projectile fired at low velocity

So what happens if you fire a projectile and it goes over the horizon?

It will probably land further away.

So what happens if you increase the speed some more?

Now the projectile is so fast it will travel so far forward that by the time it drops, the Earth will have curved away.

Side view of Earth showing projectile fired from north pole which travels halfway around before landing at south pole.
Figure caption,
Projectile fired at high velocity

This is the start of satellite motion.

If the projectile has enough speed, it will move through space constantly falling towards the Earth in . With the high horizontal speed – constant horizontal speed – the projectile falls around the of the Earth.

The higher the satellite, the longer it takes to orbit.

The International space station orbits at an altitude of approximately \(350km\)and takes just about 90 minutes to orbit the Earth.

A communications satellite orbits at an altitude of \(36,000km\) taking 24 hours to orbit the Earth. This means that it will stay above the same geographical location.