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Page Title: The Relationship Between Time and Longitude, Continued
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The Relationship Between Time and Longitude, Continued Converting  Arc The following table shows how to convert arc to time. to Time Step Action Example:   Convert 215°24'  45"  of  arc  to time. 1. Divide the degrees by 15 to obtain 215°  ÷ 15 = 14h20m hours, and multiply the remainder by 4 to obtain minutes of time. 2. Divide the minutes of arc by 15 to 24'  ÷  15  =  lm36s obtain minutes of time, and ( r e m a i n d e r   5 °    4   = 2 0 m ) multiply the remainder by 4 to obtain seconds of time. 3. 4. Divide the seconds of arc by 15 to 45"  ÷  15  = 3s obtain seconds of time. ( r e m a i n d e r   9 '    4   =   3 6 s ) Add hours, minutes, and seconds. Answer:  14h21m39s Finding ZD To calculate the ZD for a given position, follow the steps as shown below. Step Action 1. Divide the longitude of the position by 15°. 2. If  the  remainder  is  less  than  7°30',  the  whole  number quotient from step 1 equals the ZD. 3. If  the  remainder  is  more  than  7°30',  the  ZD  is  one  more than the whole number of the quotient. Example 1: 135°  W  ÷ 15 = 9 The longitude is west, so the ZD = +9. Example  2: 062° W ÷ 15 = 4 with a remainder of 2. The remainder is LESS THAN 7°30" and the longitude is west, so the ZD = +4. 5-9

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