Problem 2
Use Kepler's third law to answer the following questions: a. Determine the period of a planet with a solar distance of \(10 \mathrm{AU}\). b. Determine the distance between the Sun and a planet with a period of 5 years. c. Imagine two bodies, one twice as large as the other, orbiting the Sun at the same distance. Which of the bodies, if either, would move faster than the other?
Problem 7
If we were able to reverse the direction of Earth's rotation, would the solar day be longer, shorter, or stay the same?
Problem 11
Imagine you are looking up at a full moon. At the same time, an astronaut on the Moon is viewing Earth. In what phase will Earth appear to be from the astronaut's vantage point? Sketch a diagram to illustrate your answer.
