1. What is a Satellite?
A satellite is any object that revolves around a planet or another larger body in space. Satellites can be:
- Natural – like the Moon orbiting Earth.
- Artificial – human-made objects launched into space for communication, weather monitoring, navigation, and research.
All satellites stay in their paths because of the balance between gravity and their forward motion.
1.1. Natural vs Artificial Satellites
Natural satellites form naturally and follow stable orbital paths. Artificial satellites are launched using rockets and placed into specific orbits depending on their purpose.
1.1.1. Examples
- Moon → Earth’s natural satellite
- Mars has two moons: Phobos and Deimos
- Communication satellites orbit Earth
- GPS satellites help navigation
2. Why Do Satellites Stay in Orbit?
A satellite stays in orbit because two effects balance each other:
- Gravity pulls the satellite toward Earth.
- Forward velocity pushes it sideways.
This combination results in a curved path around Earth. The satellite keeps “falling” toward Earth, but because it moves forward fast enough, the Earth curves away beneath it—so it never hits the ground.
2.1. Circular Orbit Concept
In a perfect circular orbit, the gravitational force provides exactly the centripetal force needed to keep the satellite moving in a circular path:
\( \dfrac{GMm}{r^2} = \dfrac{mv^2}{r} \)
From this, the orbital velocity is:
\( v = \sqrt{\dfrac{GM}{r}} \)
2.2. Why Satellites Don’t Fall
They are falling! But they fall around Earth rather than toward it. Their sideways motion prevents them from crashing.
3. Orbital Velocity
Orbital velocity is the speed a satellite must have to remain in orbit. Near Earth’s surface, this value is approximately:
\( v \approx 7.9\,\text{km/s} \)
3.1. Dependence on Height
Orbital velocity decreases with height. The farther a satellite is from Earth, the weaker gravity becomes, and the slower the satellite needs to travel to stay in orbit.
3.2. Relation with Period
The time a satellite takes to complete one orbit is called its orbital period. Higher satellites take longer to complete one orbit.
4. Types of Orbits
Satellites are placed in different orbits depending on their purpose. The most common orbits include:
4.1. Low Earth Orbit (LEO)
Altitude: 160 km – 2,000 km
Used for: Earth imaging, scientific missions, ISS, spy satellites
4.2. Medium Earth Orbit (MEO)
Altitude: ~20,000 km
Used for: GPS and navigation satellites
4.3. Geostationary Orbit (GEO)
Altitude: ~36,000 km
Used for: weather, communication, and TV broadcasting
These satellites appear fixed at one point above the Earth.
5. Energy in Satellite Motion
Satellites have both kinetic energy (because they are moving) and gravitational potential energy (because they are at a height). The total mechanical energy of a satellite in a circular orbit is:
\( E = -\dfrac{GMm}{2r} \)
This negative energy signifies that the satellite is bound to Earth’s gravitational field.
5.1. Significance of Negative Energy
A satellite with negative total energy stays in orbit. To escape completely, it must gain enough energy until its total energy becomes zero.
6. How Satellites are Launched
Satellites are carried by rockets. The rocket propels the satellite upward and then horizontally to achieve the required orbital velocity. Once the satellite reaches the correct altitude and speed, it detaches and continues orbiting.
6.1. Importance of Proper Speed
- If speed is too low → satellite falls back to Earth.
- If speed is too high → satellite moves to a higher orbit or escapes Earth.
7. Why Satellites Are Important
Satellites support modern life in countless ways:
- Communication and internet
- Navigation (GPS)
- Weather forecasting
- Military surveillance
- Scientific research and space observation
Next, we will explore a specific type of satellite: geostationary and polar satellites, and understand how their orbits differ.