Why don’t satellites fall to the Earth?

The chairs of flying swings do not fly away because of the long chains holding them. Similarly, satellites remain in their orbits because of the gravitational attraction of the Earth. At the same time they tend to ‘fly’ away from the Earth owing to its inertia. Finally, they are shot off from the Earth with a large force. If this initial thrust is measured properly while launching the rocket, the satellite continues to move in an orbit around the Earth at the calculated speed.