Reference frame to calculate centroids

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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.)