# Rising time of a planet or a star and its correlation with the angle subtended at the Earth

While preparing for Astronomy Olympiad I came across many problems in which we had to calculate at what time a planet or a star would rise at the Earth, and to solve this many solutions found the angle subtended at Earth by the planet and then correlated it with the fact that Earth covers 360 degree in 24h. Now I did not understand at all why this was done and why is it giving us that time. Could anyone help me with this?

• A lot of the answer you want depends on what the Olympiad expects you to know. E.g, (1) 24 hrs . is the mean solar day. If you depend on the sun your watch would be +/- 15 minutes off at times during the year. (2) Rise and set times depend on your latitude. Some stars never rise or set. (3) A star's rise/set gets a little bit earlier every day, accumulating to 24 hours in a year. Do the problems expect you to use a reference or do they provide the information you'd have to look up? Oct 31, 2021 at 13:13

If the angle between the planet and sun is $$x$$ degrees then the planet will rise $$x/15$$ hours after/before the sun. At least approximately and ignoring thing like inclination of the planet's orbit. The "15" is because the Earth turns 15 degrees in one hour (or 360 degrees in 24 hours).