21st Century Astronomy (fifth Edition)
21st Century Astronomy (fifth Edition)
5th Edition
ISBN: 9780393603330
Author: Laura Kay, Stacy Palen, George Blumenthal
Publisher: W. W. Norton & Company
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Chapter 2.4, Problem 2.5CYU
To determine

How the dates of wandering holidays changes when the astronomical cycles were even multiplies of each other.

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The earth revolves around the sun in exactly 365 1/4 days which is equivalent to 1 year. To make up for the loss of 1/4 day, the calendar was adjusted so that we have a leap year for every 4 years. If the earth were to speed in its motion slightly so that a year would be completed in exactly 365 days and 6 hours, how often would we need to have a leap year?
The number of hours of daylight in Boston is given by y=3sin [2π(x - 79)/365]  + 12, where x is the number of days after January 1. Solve, Within a year, when does Boston have 13.5 hours of daylight? Give your answer in days after January 1 and round to the nearest day.
Ex. 10 : What would have be the duration of the year if the distance between earth and sun were half the present distance ?
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