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The shortest day of the year is Dec. 21st. However, it is not the day of either the earliest sunset or the date of the latest sunrise. Consider a fictional Earth as a perfect sphere moving in a perfectly spherical orbit. Assume Earth’s rotational axis is tilted at 23.5 degrees. Assume the rotational frequency of the fictional Earth as being extremely high (many many days in a year). Derive, as a fraction of a year, how many days the earliest sunset occurs than the winter solstice. This will be the same fraction for how much later the latest sunrise occurs after the solstice. Assume the observer lives in Gaylord, Michigan, which has a lattitude of 45 degrees. Your equations must be your own. Copying the derivation from Wikipedia will be insufficient.

The shortest day of the year is Dec. 21st. However, it is not the day of either the earliest sunset or the date of the latest sunrise. Consider a fictional Earth as a perfect sphere moving in a perfectly spherical orbit. Assume Earth’s rotational axis is tilted at 23.5 degrees. Assume the rotational frequency of the fictional Earth as being extremely high (many many days in a year). Derive, as a fraction of a year, how many days the earliest sunset occurs than the winter solstice. This will be the same fraction for how much later the latest sunrise occurs after the solstice. Assume the observer lives in Gaylord, Michigan, which has a lattitude of 45 degrees. Your equations must be your own. Copying the derivation from Wikipedia will be insufficient.

Applications and Investigations in Earth Science (9th Edition)
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
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The shortest day of the year is Dec. 21st. However, it is not the day of either the earliest sunset or
the date of the latest sunrise. Consider a fictional Earth as a perfect sphere moving in a perfectly
spherical orbit. Assume Earth’s rotational axis is tilted at 23.5 degrees. Assume the rotational
frequency of the fictional Earth as being extremely high (many many days in a year). Derive, as
a fraction of a year, how many days the earliest sunset occurs than the winter solstice. This will
be the same fraction for how much later the latest sunrise occurs after the solstice. Assume the
observer lives in Gaylord, Michigan, which has a lattitude of 45 degrees.
Your equations must be your own. Copying the derivation from Wikipedia will be
insufficient.

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