Nested \dot collides with amsmath

Question

when using \dot in a nested manner, the letter in the middle is not centered anymore. Why does it happen?

\documentclass{article}  
\usepackage{amsmath}

\begin{document}
$\dot{(\dot{s} )}$
\end{document}

Is there any solution to this appart from not using amsmath?

EDIT: Thank you for the answers, I used this which helps also to keep the formula still readable if it gets more complex:

\documentclass{article}
\newsavebox{\dotbox}
\usepackage{amsmath}
\newcommand{\outerdot}[1]{\sbox\dotbox{$#1$}\dot{\usebox\dotbox}}
\begin{document}
$\outerdot{\left(\dot{s} \right )}$
\end{document}

Answer 1

Or you can use accents package:

\documentclass[a4paper,12pt]{article}

\usepackage{amsmath}
\usepackage{accents}

\begin{document}
$(\accentset{:}{s})$
\end{document}

Or with option bold (bm package),

\documentclass[a4paper,12pt]{article}

\usepackage{amsmath}
\usepackage{accents}
\usepackage{bm}

\begin{document}
$(\accentset{\bm{:}}{s})$
\end{document}

Answer 2

Save the inner \dot in a \box. Then outer \dot the \box.

\documentclass{article}  
\usepackage{amsmath}
\begin{document}
\setbox0=\hbox{$(\dot{s} )$}
$\dot{\box0}$
\end{document}