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The Earth/Moon System The Earth/Moon System is an elegant example of the amazing consequences of the parts of a system interacting. This system is about as simple as one can imaging: two bodies isolated in space, with only one force acting between them, gravity. One would not expect anything interesting from such a simple system. Yet, the fact that we exist is strong evidence that this system is not that simple. The forces imposed on the Earth/Moon system by the Sun are much weaker than the force acting between these two bodies. Therefore, for the sake of this discussion, we can neglect the effects of the Sun and all other external forces on this system and treat the Earth/Moon as a closed system. However, someday in the far, far future this will not be the case, as the following discussion will reveal. The
result of the gravitational force between the Earth and the Moon are the
tides. The tides cause deformation of the solid part of both bodies and of
course the oceans of the Earth. The Earth spins on its axis and the Moon
orbits the Earth. Both the spinning and orbiting are expressions of angular
momentum. Like a spinning wheel these bodies tend to spin at a constant rate
unless some force acts on them. This is a basic characteristic of nature. A
body in motion will remain in motion unless an outside force acts on it
(Newton’s 2nd Law). The energy of motion, in this case the energy
of spinning is gradually being dissipated. The tides are gradually using the
energy of spinning to break down rocks on the beach, to move sand, to make
frictional heat, and to produce internal heat and friction inside the Earth
and Moon. This
loss of the spinning energy is measurable. The Earth’s spin is slowing
down (0.002 seconds/century), the days are getting longer and the Moon is
gradually moving away from the Earth (3ft/century), the months are getting
longer!
Ages ago (3-4 billion years) the Moon was much closer to the Earth (19-30 thousand km compared to the current 384 thousand km) and the tides were stupendous. Imagine the Moon 4,000 times closer than it is today, and the days were only 18 hours long! Do you think that the full Moon is impressive today? Think of what it would have looked like then! Wow! Another result of the interaction of the Earth and Moon is that the Moon has lost all of its spin. The tides within the Moon have dissipated the rotational energy to the final state; the same side of the Moon always faces the Earth. In addition, one can predict the final state of the Earth/Moon system- the day and the month will be equal at 1320 hours, or 55 today days long. The Earth/Moon system is changing as a result of the two system components, the Earth and the Moon, interacting with each other, as is true of most systems. Amazing!
There
are many amazing consequences resulting from the interaction of
the components of this system. The Earth/Moon system is spectacular considering
the relative sizes of these two bodies. The Earth/Moon system is really a
binary planet. In fact, these two celestial bodies orbit each other (around
a point about
4670 km from the Earth's center). As a result of the Moon’s huge size
and the small distance between the Earth and Moon, the ocean tides on Earth
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