You are sailing on the open sea and in a severe storm you lose your GPS receiver and every timepiece you had on board. All that's left intact are those things that happened to be safely locked away in your cabin: your sextant, logbook, map, book with astronomical tables and a fairly good telescope.
Without a timepiece, you know you can determine your latitude pretty accurately by means of the Sun alone. However, you also know that to determine your longitude from the stars and the planets, you need to know Universal Time (UT) pretty accurately. Now that's a tough call!
It so happens that Venus, Mars, Jupiter and Saturn are visible at night. How do you, using what you've got, determine UT with good accuracy?