What is the relationship between the orbital radius and the time period of a sat
Practice Questions
Q1
What is the relationship between the orbital radius and the time period of a satellite?
T ∝ r^2
T ∝ r^3/2
T ∝ r
T ∝ r^1/2
Questions & Step-by-Step Solutions
What is the relationship between the orbital radius and the time period of a satellite?
Step 1: Understand what a satellite is. A satellite is an object that orbits around a planet.
Step 2: Learn about orbital radius. The orbital radius (r) is the distance from the center of the planet to the satellite.
Step 3: Know what the time period (T) is. The time period is the time it takes for the satellite to complete one full orbit around the planet.
Step 4: Familiarize yourself with Kepler's third law. This law states that the square of the time period of a satellite is proportional to the cube of its orbital radius.
Step 5: Write the relationship mathematically. This can be expressed as T^2 ∝ r^3, which means if you increase the radius, the time period increases.
Step 6: Simplify the relationship. From T^2 ∝ r^3, we can derive that T ∝ r^(3/2). This means the time period increases as the orbital radius increases.
