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Revision Questions

Useful Data:

Equatorial Radius of Earth

Mass of Earth

Gravitational Constant

Newton's Law of Gravity

Centripetal Force equation

Orbital period

Circumference of a circle

Question 1 - If a typical UoSAT satellite's orbit is circular and at 800 km altitude, how fast does the launch vehicle have to be travelling to release the satellite into its intended orbit? Answer Explain

Question 2 - Polar orbits are at right angles to the equator so polar orbiting satellites pass over the whole Earth surface in a day. What angle does the Earth rotate through in the time it takes a typical UoSAT satellite to orbit the earth? Answer Explain

Question 3 - The European launch site is in French Guyana. What two advantages are there of launching a satellite from an Equatorial location? Answer

Question 4 - If a satellite has coils on its solar panels which have 550 turns on them and carry 0.5A and the solar panels measure 30 cm x 60 cm, what is the maximum torque that can be applied to them if the Earth's magnetic field strength at Low Earth Orbit is ? Answer Explain

Question 5 - Which regions of the satellite orbit would experience the strongest magnetic field? Answer

Question 6 - The attitude of UoSAT satellites is partly controlled by the gravity gradient effect - that is the natural tendency for long thin objects to align themselves along the direction of the gravitational field (i.e. the local vertical). SSTL make satellites 'long and thin' by deploying a large lump of brass (~2 - 3kg) on the end of a long boom (~6m). This turns the satellites into a dumbell configuration.
Imagine a satellite is slightly tilted from the vertical (say 5 deg). Explain why there would be a restoring torque which would tend to re-align the satellite with the vertical. Answer

Question 7 - A satellite is orbiting at 800 km above the Earth's surface. Calculate the period of orbit, the angular speed and the instantaneous linear speed. Answer Explain

Question 8 - Geostationary satellites typically orbit once in 24 hours. What would be their orbit height above the Earth's surface and what is their instantaneous linear speed? Answer Explain

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