Units of Stellar Distance


    The distance to stars are so great that the ordinary units - miles - are no longer practicable.  The nearest star is 25 trillion miles (25,000,000,000,000 miles) away - a number too awkward to write, to remember, or to use.
    Three units are commonly used in Astronomy: (1) the Astronomical Unit; (2) the Light Year; and (3) the Parsec.

    (1.) The Astronomical Unit is, by definition, equal in length to the distance from the earth to the sun - 93 million miles (93,000,000 miles)
    This unit, astronomically speaking, is a fairly small one, and it is used primarily in stating distances within the Solar System.  Thus, the distance of Pluto is 40 Astronomical Units, or 40 X 93,000,000 miles = 3,720,000,000 miles
    (A.U. is the proper abbreviation for Astronomical Unit.)

    (2) Another unit of astronomical distance is the Light Year, defined simply as the distance traveled by a ray of light in a year.  Knowing that the speed of light is 186,000 miles in one second, it is easy to compute that distance.  186,000 is multiplied by the number of seconds in a year:

186,000 X 60 (seconds per minute) X 60 (min's per hour) X 24 (hours per day) X 365¼ (days per year) = 5,880,000,000,000 miles (5.88 trillion miles) or ( 5.88 X 1012 miles)

Using this unit of distance, Alpha-Centauri is at a distance of 4.2 light years; or, the light by which we see the star has been traveling  4.2 years.

    (3) The definition of the Parsec is based on a triangle as follows:
        If (a), in a triangle, one of the angles is 90º; and if (b), one of the legs at the right angle is 93 million miles long; and if (c), the angle opposite it is one second;
        then, the length of the other 90º leg is equal to one Parsec. Thus, if angle B is the 90º angle, AB  is 1 A.U. long, and angle D is 1 second of angle in size, then BD will have a length of 1 Parsec.

parsec triangle
If (a), the angle B is 90º; (b), the side of AB is 1 A.U. (93,000,000 miles) long; (c), the angle D is 1 second, then: the side BD is equal to one Parsec.

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