Q: The stars Mintaka and Sadalmelik are both very close to the celestial equator; in other words, their Declinations are both very close to zero. Look up their Right Ascension values. What is the angular distance between the two stars, measured in degrees? Mintaka: RA = 05:32:00 Dec = -00:17:57 Sadalmelik: 22:05:47 -00:19:11 Let's first convert the RA values to decimal hours: Mintaka: 5 + (32/60) + (00/3600) = 5.533333 hours Sadalmelik: 22 + ( 5/60) + (47/3600) = 22.096389 hours and now to decimal degrees: Mintaka: (5.5333333 hours) * (15 degrees/hour) = 83.0000 degrees Sadalmelik: (22.096389 hours) * (15 degrees/hour) = 331.4458 degrees Now we can compute the difference in their RA values: delta_ra = 331.4458 - 83.0000 = 248.446 degrees This is not incorrect ... but it's not the answer one would usually provide. If we start at Mintaka, and move east across the sky in the direction of increasing RA, then it will take about 248 degrees to reach Sadalmelik. But 248 degrees is more than half-way around a complete circle! Instead, if we start at Mintaka and move _west_ across the sky, in the direction of _decreasing_ RA, then we reach RA = 0 ... but that's the same as RA = 360. If we keep going in the negative RA direction, we'll quickly reach the position of Sadalmelik at RA = 331 degrees. In this direction, the distance between the stars is just delta_ra = 360 degrees - 248.446 degress = 111.554 degrees