Reference frame to calculate centroids

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The choice of origin for calculating centroids does not affect their position, as centroids are geometric properties independent of the coordinate system used. Whether the origin is placed at a massive particle or any other point, the centroid remains consistent across different reference frames. This principle is rooted in mathematical theory rather than physical considerations. Testing this with examples can further illustrate the concept. Understanding that centroids are invariant under coordinate transformations is crucial for accurate calculations.
Pepealej
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Hi. I was recently calculating some centroids and I was wondering if the point were I choose my origin affects the centroid position. I.e., if I choose my origin at a massive particle, will the centroid be the same as with any other reference frame?

Thansk :)
 
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Why not try it on a few examples and see?
 
No, the centroid is a geometric property and independent of any coordinate system chosen. (This is a mathematics result, not physics.)
 

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