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What is the relationship between the height of a satellite and its orbital perio

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Question: What is the relationship between the height of a satellite and its orbital period?

Options:

  1. Directly proportional
  2. Inversely proportional
  3. No relationship
  4. Exponential relationship

Correct Answer: Inversely proportional

Solution: 

The orbital period T of a satellite is related to its height h by T ∝ h^(3/2), which indicates that the period is inversely proportional to the square root of the gravitational force acting on it.

What is the relationship between the height of a satellite and its orbital perio

Practice Questions

Q1
What is the relationship between the height of a satellite and its orbital period?
  1. Directly proportional
  2. Inversely proportional
  3. No relationship
  4. Exponential relationship

Questions & Step-by-Step Solutions

What is the relationship between the height of a satellite and its orbital period?
  • Step 1: Understand what a satellite is. A satellite is an object that orbits around a planet or another celestial body.
  • Step 2: Learn about orbital period. The orbital period (T) is the time it takes for a satellite to complete one full orbit around the planet.
  • Step 3: Know what height (h) means. The height of a satellite is the distance from the surface of the planet to the satellite.
  • Step 4: Recognize the relationship. The relationship between the height of a satellite and its orbital period is described by the formula T ∝ h^(3/2).
  • Step 5: Interpret the formula. This means that if you increase the height of the satellite, the orbital period will increase, and it does so in a specific way: the period increases as the height raised to the power of 3/2.
  • Step 6: Understand gravitational force. The gravitational force acting on the satellite decreases as the height increases, which affects how fast the satellite moves.
  • Step 7: Conclude that a higher satellite takes longer to orbit the planet because it is further away from the gravitational pull.
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