Subtracting centrifugal acceleration from acceleration caused by movement

AI Thread Summary
The discussion focuses on the challenges of accurately calculating the movement of an RC plane equipped with GPS, gyroscope, and accelerometer during turns. The user observes that the plane's velocity readings become inaccurate due to centrifugal acceleration, leading to overshooting turns. They seek to subtract this centrifugal acceleration from the overall acceleration to improve accuracy. The user outlines their understanding of the necessary calculations involving centripetal force and provides formulas to determine the radius and centrifugal acceleration. They are looking for confirmation on their approach and further guidance on refining their algorithm.
sparkk
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I've been playing around with dead reckoning stuff on an rc plane by attaching a gps, 3 axis gyroscope, and 3 axis accelerometer to the plane.

When the plane isn't turning, my algorithm works pretty well however when I enter a turn, the readings get way off. Specifically, the plane appears to be moving at a faster velocity than it actually is thus all turns are overshot.

I believe I see this due to centrifugal acceleration and would like to cancel it out, but I'm getting quite lost, especially with 3d vectors. How might I go about subtracting this observed acceleration from acceleration caused by movement?

Thank you
 
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Let me add what I have identified so far.. for at least identifying what I believe to be the acceleration component I need to subtract:

F = ma_{c} = (mv^{2})/ r = mrw^{2}

The definitions are standard as of this wiki page:
http://en.wikipedia.org/wiki/Centripetal_force

I know:
(gps) speed = v
(gyroscope) angular velocity = w

I can calculate r via:
(mv^{2})/ r = mrw^{2}
v^{2}/ r = rw^{2}
v^{2} = r^{2}w^{2}
r^{2} = v^{2} / w^{2}
r = \sqrt{v^{2} / w^{2}}


With r and w known, I can now calculate a_{c} as follows:
ma_{c} = mrw^{2}
a_{c} = rw^{2}

Am I anywhere close to being on the right track? :smile:
 
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