| Arc units in astronomy??? One problem is that, in astronomy, there are two sets of units that use the same names: angle and time.Worst, astronomers sometimes use units of time to indicate angles.Time: hours, minutes, seconds.Angles: degrees, minutes, seconds.To distinguish one system from the other, if there is a risk of confusion, astronomers will use 'arc-minutes' and 'arc-second' for angles.Our time system uses 24 hours per day. The Earth rotates 360 degrees in 24 hours. That is 15 degrees per hour. In setting coordinates for the celestial sphere, it is convenient for astronomers to measure the 'Right Ascension' (the same idea as longitudes on Earth) in hours instead of degrees. You will often see the position of a star given in mixed units(for example, Capella R.A.=5h17.2m dec=+46 00)The Right Ascension is 5 hours and 17.2 minutes (at 15 degrees per hour, this is the same as 79 degrees and 18 minutes, in angle) East of the prime hour angle (Right Ascension is measured from where the ecliptic crosses the celestial equator: the point where the Sun appears to be at March Equinox).Declination is given in degrees (and minutes). Capella's declination is 46 degrees North of the celestial equator (South would have been with a minus sign -).We inherited our celestial calculations from the Babylonians: They would divide things in 60 parts.We use decimals, dividing by 10 at each step, because we have calculators. They did not. 60 is a practical number when you have no calculator because it is easy to divide 60 by 2, 3, 4, 5, 6, 10, 12, 15 and 30. If is also a convenient divisor for 360.The modern names of the divisions came much later, when scientists were writing in Latin. When measurements became too small, they would use a unit 1/60 of the main unit. This was 'the first small part' (pars minuta prima); the adjective 'minute' in English comes from the original Latin word, minuta, meaning 'small'. In that sense, the emphasis is on the second syllable: miNUte.e.g., It's not fair: her piece of cake is huge, while mine is minute.When calculations became even more precise, the first part had to be divided again, so we had the 'second small part' (pars minuta secunda). Popular usage retained the words 'minute' (emphasis on the first syllable: MINute) for the first division and 'second' for the... ahem... second division. This was used for any calculations, not just angles and time.At one time many centuries ago, some exaggeratingly performed calculation to five level of division by 60 (pars minuta quinta, the fifth small part); fortunately, this did not really catch on.That is why we are now stuck with the same names (minutes and seconds) for two sets of units. |