[net.sf-lovers] _Integral_Trees_

@RUTGERS.ARPA:A.ANDY@SU-GSB-HOW.ARPA (02/07/85)

From: Andrew "VaxBuster" Gideon <A.ANDY@SU-GSB-HOW.ARPA>

Office Phone: (415) 497-4816/9717


The "gravity" at the tufts of the Trees was caused (as the characters
often said without understanding) by tides.  A tide is acceleration
caused by an orbital velocity different from the velocity required
at the given distance from the primary <gasp> <gasp> (I said all
that?).

The entire tree was in orbit around the primary (Levoy's Star).
The entire tree was kilometers (hundreds of kilometers?) long,
yet it could only move at one velocity (without breaking apart).
Remember, now, that the inner tuft should be moving faster than the
outer tuft, given that is is closer to the primary.  If the inner
tuft moved too slowly, it would be pulled inward.  If the outer tuft
moved too quickly, it would fly off into space.  Thus, at a certain
velocity, the inward and outward forces over the entire tree sum out to
zero, and presto-zappo, you have one tree in orbit.

But there are people in the tufts, moving at the given tuft's speed,
therefore subject to the same inward or outward force that the tuft
is subject to.  The tree is balanced, but the people are not.  Thus,
the people would always tend to fall away from the center of the tree.
Tidal Gravity.

Pretty good, huh?  No wonder no one liked grading my physics papers.

				Andy Gideon
				Gideon@SU-SCORE.ARPA

"Claave!  Feed it to the treeee!"

"Hi Erica Liebman"  8-)
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