1. Angular Speed of the Sky 12 points
A student begins observing a bright star when it is 35 degrees above the eastern horizon. Assume the star's apparent motion is dominated by Earth's rotation at about 15 degrees per hour. Estimate the star's altitude change after 90 minutes if its path is approximately vertical near that horizon location. State why this is only an approximation.
2. Coordinate Systems for an Observing Plan 14 points
You are given a target at RA 5h 30m, Dec +20 degrees. Explain which parts of that coordinate are reusable by observers anywhere on Earth and which observing quantities still depend on local time and location. Include one sentence about why altitude-azimuth coordinates are still useful at the telescope.
3. Moon Phase Geometry 16 points
Draw or describe Sun-Earth-Moon geometry for first quarter Moon. Identify the approximate angle Sun-Earth-Moon, when first quarter is highest in the sky, and why this phase is not a lunar eclipse.