The equation of time is 8m 00s. The mean Sun is ahead of the apparent Sun. If you are 2°W of the central meridian of your time zone, when will the apparent Sun cross your meridian?
• Relationship between mean Sun and apparent Sun when the equation of time is given as "+8m" or "mean Sun ahead" • How being west of the central meridian of your time zone affects when the Sun crosses your local meridian compared to zone time noon (1200) • Converting degrees of longitude to time difference (4 minutes of time per degree of longitude)
• First, decide: if the mean Sun is ahead of the apparent Sun by 8 minutes, will the apparent Sun cross your meridian before or after mean (zone) noon? • Next, figure out if being 2°W of the central meridian makes your local apparent noon earlier or later than zone time noon, and by how many minutes. • Finally, combine the time effect from the equation of time with the time effect from the longitude difference: are they working in the same direction (both later or both earlier) or in opposite directions?
• Confirm the sign convention: a positive equation of time (mean Sun ahead) means the apparent Sun is slower than mean Sun. • Verify the time correction for 2° of longitude using 1° = 4 minutes of time. • Carefully add or subtract the two corrections from 1200 zone time to get the local apparent noon, watching your signs.
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