virial theorem
VirialTheorem
2004-11-19 01:01:34
2004-11-19 01:05:32
Definition
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
We start with the moment of inertia about the origin for the system of particles, which is defined as
\begin{equation}\label{first}
I = \sum_i m_i {r_i}^2
\end{equation}
Differentiate using the chain rule. Note that a vector dotted into itself yields its magnitude square.