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Calculation of NonUniform Circular Motion 
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#1
Oct2111, 08:53 AM

P: 1

Hi 
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. Problem Description: Assume a point rotating nonuniformally 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. Jim 


#2
Oct2111, 10:46 AM

P: 20

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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