Therefore, the satellite is actually in geosynchronous orbit around Earth. Here's how to calculate its speed:
1. Understand the Relationship:
* Geosynchronous orbit: A satellite in geosynchronous orbit stays above the same point on Earth's surface as the Earth rotates.
2. Calculate the Circumference:
* The radius of the orbit is 42,050 km.
* The circumference of the circular orbit is 2πr = 2π(42,050 km) ≈ 264,600 km
3. Calculate the Speed:
* The satellite completes one orbit in 24 hours (86,400 seconds).
* Speed = Distance / Time = 264,600 km / 86,400 seconds ≈ 3.06 km/s
Therefore, the speed of the artificial satellite in geosynchronous orbit is approximately 3.06 km/s.