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The Relationship Between Time and Longitude, Continued
ArctoTime
Relationship
Use this table to learn the relationship between arc and time.
EQUIVALENTS OF ARC AND TIME
Time to Arc
Arc to Time
24h = 360°
lh = 15°
lm = 15'
1s = 15"
360°
= 24h
1°
= 4m
1'
= 4s
Converting Time The following is a step by step example of the time to arc conversion
to Arc
process:
Step
Action
Example: Convert
14h 21m 39s units of
time to arc
1.
2.
Multiply the hours by 15 to obtain
14h
15 = 210°
degrees.
Divide the minutes by 4 to obtain
21m ÷ 4 = 5° 15'
degrees; multiply the remainder by
(remainder lm
15 = 15')
15 to obtain minutes of arc.
3.
Divide the seconds of time by 4 to
39s ÷ 4 =
9'
45"
obtain minutes and minutes of arc,
(remainder 3s
15 = 45”)
or multiply the remainder by 15 to
obtain seconds of arc.
4.
Add degrees, minutes, and
seconds.
Answer: 210° 24' 45"
Continued on next page
5-8
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