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Calculation of NonUniform Circular Motion
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Oct21-11, 08:53 AM
I have a problem that somewhat mimics an
orbital mechanics problem, but I'm struggling
with seeing the light. My engr math is very
rusty and could use some insight.
Assume a point rotating non-uniformally
on the circumference of a circle, similar to
a planet around the sun. The exception being
the rotation is at a constant radius. Now,
assume that non uniform time is measured between
points A,B & C, where A,B & C are exactly 120 degrees
apart. So t(AB),t(BC),t(CA) are different.
Is there a closed form equation that would calculate
the resultant vector? Not sure I am explaining this
properly and this may be a very simple exercise in
trig/geometry, however, I cannot seem to figure this
out. If someone is familiar with this, I should could
use some help. Thanks.
Oct21-11, 10:46 AM
Is that all the information that's given? If they're 120 degrees apart with a variable circle r then you can split the circle into segments and integrate the x values as a function of y using some clever connection to arclength=sr(theta) and the integral. Given time and and 120 degrees apart you could be talking about a spider monkey's elbow so I think you need more information.
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