Calculation of NonUniform Circular Motion

  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 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.

    Jim
     
  2. jcsd
  3. 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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