diff --git a/hm.tex b/hm.tex index 7a4d5e7..6c247c4 100644 --- a/hm.tex +++ b/hm.tex @@ -234,7 +234,7 @@ \chapter*{Preface} This is a scalar quantity that, as we will see, measures its resistance to changes in its state of motion, also known as \emphidx{inertia}. \begin{tcolorbox}[title=Newton's second law of motion] - \index{Newton ! second law} + \index{Newton!second law} There exist \emphidx{frames of reference}, that is, systems of coordinates, in which the motion of the particle is described by a differential equation involving the forces $\vb*{F}$ acting on the point particle, its mass $m$ and its acceleration as follows \begin{equation}\label{eq:newton} \vb* F = m \ddot{\vb*{x}}. @@ -298,7 +298,7 @@ \chapter*{Preface} In this model of the solar system, with the Sun fixed at the origin, we will describe the Earth by a point particle of mass $m$ whose position (and motion) is described by a vector $\vb*{x}\in\mathbb{R}^3$. Due to our choice of coordinates, the gravitational attraction of the Sun acts in the direction of $-\vb*{x}(t)$. - \emph{Newton's law of universal gravitation} \index{Newton ! universal gravitation} says that such a force is proportional to + \emph{Newton's law of universal gravitation} \index{Newton!universal gravitation} says that such a force is proportional to \begin{equation} \frac{GmM}{\|\vb*{0}-\vb*{x}\|^2} = \frac{GmM}{\|\vb*{x}\|^2}, \end{equation}