On January 1 at 00:00 UTC, a solar eclipse occurred, on January 5 at 00:00, Venus was covered by the Moon, and on January 6 at 00:00, Jupiter was covered by the Moon. What other astronomical phenomenon will occur in January and on what day?
For the solution, we will take into account that the Moon moves along the ecliptic at a speed of 11.5 ° to 14.5 ° per day, depending on the distance from the Earth. Four days after the new moon and solar eclipse, the Moon passed in the sky past Venus, which is thus near the moment of the greatest eastern elongation (its angular distance from the Sun cannot be more than 47 °). At this time, Venus, like the Sun, moves along the ecliptic to the east at a speed of about 1 ° per day. A day later, the Moon covered Jupiter, which means on January 5 it was approximately 13 ° east of Venus. The speed of Jupiter’s movement along the ecliptic during evening visibility is about 0.2 ° per day, that is, Venus, catching up with it at a speed of 0.8 ° per day, will catch up with it in 16 days, on January 21, and will enter into a beautiful conjunction with it, apparently, rather close, since both planets were covered by the Moon, that is, they were at almost the same angular distance from the ecliptic.