A satellite is in a circular orbit around the Earth. What is the relationship be

A satellite is in a circular orbit around the Earth. What is the relationship between its orbital speed (v) and the radius of the orbit (r)?

A satellite is in a circular orbit around the Earth. What is the relationship between its orbital speed (v) and the radius of the orbit (r)?

Step 1: Understand that a satellite moves in a circular path around the Earth.
Step 2: Know that the speed of the satellite is called its orbital speed (v).
Step 3: Recognize that the radius of the orbit (r) is the distance from the center of the Earth to the satellite.
Step 4: Learn that the gravitational force between the Earth and the satellite keeps it in orbit.
Step 5: The formula for the orbital speed (v) is derived from the balance of gravitational force and the required centripetal force for circular motion.
Step 6: The formula is v = sqrt(G * M / r), where G is the gravitational constant and M is the mass of the Earth.
Step 7: This formula shows that as the radius (r) increases, the orbital speed (v) decreases.

Orbital Mechanics – The relationship between the orbital speed of a satellite and the radius of its orbit, derived from gravitational principles.
Gravitational Force – Understanding how gravitational force affects the motion of satellites in orbit.