Universe
Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 2, Problem 6CC
To determine

If an observer near the Earth’s North Pole observes any period where the Sun never sets or rises, considering a scenario in which the Earth’s axis is straight up and not tilted.

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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?
Consider a planet of radius 10 x 106 m for which the length of a sidereal day is 5 x 104 s.  Calculate the speed you would have with respect to the center of the planet, in m/s, if you were at a latitude of 5 degrees north. (Please answer to the fourth decimal place - i.e 14.3225)
If Earth be one half of its present distance from the Sun, by how many days will the present one year on the surface of Earth will change?
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