Solve the following:
1. Compute the period of a satellite placed into orbit around the Earth at a distance of tenth that to the Moon.
2. The local solar time at 75°W is 12:00 noon. What is the longitude of an observer who sees the full moon on her meridian at this time?
3. At what longitude is an observer who sees the last-quarter moon on his meridian when I is 12:00 noon local solar time at 75°W?
4. It is 12:00 noon local solar time at 75°W. The date is March 21.At what longitude would an observer be able to see the last-quarter moon rising?
5. A high tide is occurring at Charleston, S.C. (80°W, 33°N). At approximately what other longitude is a high tide occurring?
6. A high tide is occurring at Charleston, S.C. (80°W, 33°N). What two longitudes are experiencing low tide?
7. The Ulysses space probe of the Sun encountered the planet Jupiter in 1998 and returned to make a second sweep over the Sun's poles in 2000-2001. Determine the time (in seconds and minutes) it takes a radio signal to reach the Earth when the space probe was at Jupiter. (Use 778 × 106 km for the distance from the space probe to Earth. The distance varies because the Earth and Jupiter are orbiting the Sun.)