Orbital Mechanics and Satellites

Engineering

Master Kepler's laws, orbital altitudes from LEO to GEO, Hohmann transfer manoeuvres, satellite constellations, and the growing challenge of space debris.

57 XP
Reward
12
Questions
5–10 min
Time
Q1 Question 1 of 12

Kepler's first law states that planetary (and satellite) orbits are ellipses. What does this mean for a satellite in a circular orbit?

Q2 Question 2 of 12

Using Kepler's third law (T² ∝ a³), if a satellite at 400 km altitude (semi-major axis ≈ 6,771 km) has a 90-minute period, what happens to the period when a satellite is placed at a much higher orbit with a larger semi-major axis?

Q3 Question 3 of 12

The International Space Station orbits at approximately 400 km altitude. How many times does it orbit Earth each day, and how many sunrises do astronauts see?

Q4 Question 4 of 12

GPS satellites orbit at approximately 20,200 km altitude in Medium Earth Orbit with a 12-hour period. Why is MEO preferred over LEO for GPS?

Q5 Question 5 of 12

A geostationary satellite appears fixed above the same point on Earth's surface. What two conditions must be met for this to be possible?

Q6 Question 6 of 12

A weather satellite in geostationary orbit (GEO) has a poor view of polar regions. Why?

Q7 Question 7 of 12

A spacecraft in a 400 km circular orbit needs to transfer to a 35,786 km geostationary orbit using a Hohmann transfer. How many engine burns are required?

Q8 Question 8 of 12

The total delta-v needed to launch from Earth's surface to LEO is approximately 9.4 km/s, but Earth's orbital velocity at LEO is only 7.8 km/s. Why is the required delta-v higher than the final orbital velocity?

Q9 Question 9 of 12

What is a satellite's ground track, and how does it differ between a geostationary satellite and an ISS-like LEO satellite?

Q10 Question 10 of 12

The Starlink broadband internet constellation uses thousands of satellites in LEO rather than a few satellites in GEO. What is the primary advantage of using LEO for internet communications?

Q11 Question 11 of 12

What is Kessler syndrome, and why is it considered a serious long-term threat to spaceflight?

Q12 Question 12 of 12

There are currently over 27,000 tracked objects larger than 10 cm in Earth orbit. What method do space agencies use to protect operational satellites from collision with tracked debris?