Universe: Stars And Galaxies
Universe: Stars And Galaxies
6th Edition
ISBN: 9781319115098
Author: Roger Freedman, Robert Geller, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 2, Problem 58Q
To determine

The difference between a sidereal and a tropical year.

The reason for the two kinds of year to be slightly different in length.

The reason for the calendars to be based on the tropical year.

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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?
There are 12 lunar months in a lunar calendar. The numbers of days of the lunar months differ by at most one day. The average number of days of a lunar month is approximately equal to the period of the lunar phase cycle. One year in a solar calendar is approximately equal to the period of the cycle of seasons. Which of the following can roughly keep a lunar calendar synchronized with a solar calendar?   a) Adding a thirteenth lunar month to 7 out of every 19 years. b) Adding an extra day every 4 years. c) Having an extra month with 5 days each year. d) Skipping a lunar month every 7 out of 19 years.
What is the difference between a sidereal month and a synodic month? Which is longer? Why?
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