Understanding Our Universe
Understanding Our Universe
3rd Edition
ISBN: 9780393614428
Author: PALEN, Stacy, Kay, Laura, Blumenthal, George (george Ray)
Publisher: W.w. Norton & Company,
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Chapter 5, Problem 24QAP
To determine

The implication of conservation of energy and momentum.

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Humanity's Energy Needs: Humankind's total annual energy need is approximately 4 x 10^20 J. a) What is this in Watts? b) The solar energy reaching the Earth is ~340 W/m^2. If we could collect 100% of the energy hitting 1/20th (5%) of the Earth's surface, and Earth's surface is 5x10^14 m^2, show that we could collect enough energy to meet all of humankind's annual energy needs in less than 12 hours. c) Alternatively, if we wanted to provide all of humankind's energy needs with wind power, how many 100 MW wind farms are needed? (Assume constant average energy use and no efficiency losses.)
What is the correct answer to this and why? Please provide an in depth explanation explaining the various aspects you need to know for this question.
Question 1 (Total: 30 points) a. What is a repeat ground-track orbit? b. Explain why repeat ground-track and Sun-synchronous orbits are typically used for Earth observation missions. c. The constraint for a Sun-synchronous and repeat ground-track orbit is given by T = 286, 400, where I is the orbital period in seconds, m the number of days and k the number of revolutions. Explain why this is, in fact, a constraint on the semi-major axis of the orbit.
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