# Exact calculation of the number of degrees of freedom of a rigid body constituted by n particles - Physics > Physics Education

Exact calculation of the number of degrees of freedom of a rigid body constituted by n particles - Physics > Physics Education - Download this document for free, or read online. Document in PDF available to download.

Abstract: In this work we discuss how to correctly obtain the number of degrees offreedom of a system constituted by n particles with fixed relative distancesand which are immerse in a three-dimensional space. As a result of ouranalysis, we develop expressions which yield the number of degrees of freedomof an analogous system, not only in three, but in any arbitrary number D ofdimensions.

Author: ** Jorge Bernal, Roberto Flowers-Cano, Adrian Carbajal-Dominguez**

Source: https://arxiv.org/