ill be denoted
<span class="math inline">\((\rho^{*}, \theta^{*})\)</span>.</p>
<p>The leapfrog integrator’s error is on the order of <span class="math inline">\(\epsilon^3\)</span> per
step and <span class="math inline">\(\epsilon^2\)</span> globally, where <span class="math inline">\(\epsilon\)</span> is the time interval
(also known as the step size); <span class="citation">Leimkuhler and Reich (<a href="#ref-LeimkuhlerReich:2004" role="doc-biblioref">2004</a>)</span> provide a
detailed analysis of num