Satellite Orbits

Once a rocket reaches space, it can place satellites into orbit. But why don't satellites simply fall back to Earth?

The Key Idea

A satellite is constantly falling towards Earth due to gravity. However, it is moving sideways so quickly that it keeps missing the Earth. This creates a continuous orbit around the planet.

Earth

Forces Acting on a Satellite

🌍 Gravity

Earth's gravity pulls the satellite inward and provides the force needed to keep it moving in a circular path.

🛰️ Velocity

The satellite's sideways velocity prevents it from falling directly towards Earth.

⭕ Circular Motion

The balance between gravity and velocity creates a stable orbit.

A Simple Mathematical Model

Orbital Speed Formula

v = √(GM/r)

Where:

v = orbital speed
G = gravitational constant
M = mass of Earth
r = distance from Earth's centre

Engineers use equations like this to calculate how fast satellites must travel to remain in orbit. If the speed is too low, the satellite falls back to Earth. If it is too high, it may escape Earth's gravitational pull.

Continue to Further Mathematics

Discover how vectors, modelling and mathematical techniques are used throughout modern space exploration.

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