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Managing moon math.


Managing moon math

The moon has undoubtedly accompanied the earth throughout much of our planet's 4.5-billion-year history. But earth scientists have few clues to help detail when this relationship started and how the two bodies have affected each other. To learn more about the relationship, Robert Malcuit of Denison University Denison University is a highly selective private liberal arts and sciences college in Granville, Ohio, approximately 30 miles (50 km) east of Columbus. Denison was founded in 1831. It has a current enrollment of about 2,000 students.  in Granville, Ohio Granville is a village in Licking County, Ohio, United States, founded by settlers from Granville, Massachusetts, a town of which it now has three times the population. The population was 3,167 at the 2000 census. Granville is home to Denison University. , has constructed a mathematical model
Note: The term model has a different meaning in model theory, a branch of mathematical logic. An artifact which is used to illustrate a mathematical idea is also called a mathematical model and this usage is the reverse of the sense explained below.
 of the earth-moon system.

He started with the long-accepted theory that the moon has slowed the earth's rotation The Earth's rotation is the rotation of the solid earth around its own axis, which is called Earth's axis or rotation axis. The earth rotates towards the east, which can be observed by orientation with a magnetic compass at sunrise.  through friction caused by tidal forces. He assumed the rate has dropped by one-thousandth of a second per century. By plugging this into his model, he calculated that 3.8 billion years ago, days would have lasted 14 hours and years would have been over 600 days long.

While these kinds of results were not unexpected, Malcuit was surprised to find that throughout time, the number of days per lunar month lunar month
n.
The average time between successive new or full moons, equal to 29 days, 12 hours, 44 minutes. Also called synodic month.
 would have remained at a relatively constant number between 29 and 31. These results, he says, will alert geologists to the kinds of patterns in the geologic record that might be evidence of ancient tides.
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Copyright 1987, Gale Group. All rights reserved. Gale Group is a Thomson Corporation Company.

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Title Annotation:mathematical model of earth-moon system
Author:Monastersky, Richard
Publication:Science News
Date:Nov 7, 1987
Words:183
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