jQuery UI accordion within an accordion

jQuery UI accordion within an accordion

HELP Im stuck Im trying to use jQuery UI accordion plugin and Ive run into a problem. I want to have an accordion within another accordion and have both accordions collapsed. my code works except when I set both accordions to "active:false" the accordion inside the first accordion does not collapse anymore. If I have the inner accordion set active:false everything works except I need both to start collapsed below is my code. Thanks
<html>
<head>
  <script type="text/javascript" src="http://jqueryui.com/latest/jquery-1.3.2.js"></script>
  <script type="text/javascript" src="http://jqueryui.com/latest/ui/ui.core.js"></script>
  <script type="text/javascript" src="http://jqueryui.com/latest/ui/ui.accordion.js"></script>
<script>
$(document).ready(function(){
    $("#accordion").accordion({collapsible:true,alwaysOpen: false});
   $("#accordionTwo").accordion({active:false,collapsible:true,header: 'h2' });
  });
  </script>
</head>
<body style="font-size:62.5%;">
 
<div id="accordion">
   <h3><a href="#">Section 1</a></h3>
   
    <div id="accordionTwo">
        <h2><a href="#">This would be the service</a></h2>
           <div>This would be the fees for it</div>
         
       <h2><a href="#">Second header</a></h2>
         <div>This would be the fees for the service</div>

     </div>
    
   <h3><a href="#">Section 2</a></h3>
   <div>
      <p>
      Sed non urna. Donec et ante. Phasellus eu ligula. Vestibulum sit amet
      purus. Vivamus hendrerit, dolor at aliquet laoreet, mauris turpis porttitor
      velit, faucibus interdum tellus libero ac justo. Vivamus non quam. In
      suscipit faucibus urna.
      </p>
   </div>
   <h3><a href="#">Section 3</a></h3>
   <div>
      <p>
      Nam enim risus, molestie et, porta ac, aliquam ac, risus. Quisque lobortis.
      Phasellus pellentesque purus in massa. Aenean in pede. Phasellus ac libero
      ac tellus pellentesque semper. Sed ac felis. Sed commodo, magna quis
      lacinia ornare, quam ante aliquam nisi, eu iaculis leo purus venenatis dui.
      </p>
      <ul>
         <li>List item one</li>
         <li>List item two</li>
         <li>List item three</li>
      </ul>
   </div>
   <h3><a href="#">Section 4</a></h3>
   <div>
      <p>
      Cras dictum. Pellentesque habitant morbi tristique senectus et netus
      et malesuada fames ac turpis egestas. Vestibulum ante ipsum primis in
      faucibus orci luctus et ultrices posuere cubilia Curae; Aenean lacinia
      mauris vel est.
      </p>
      <p>
      Suspendisse eu nisl. Nullam ut libero. Integer dignissim consequat lectus.
      Class aptent taciti sociosqu ad litora torquent per conubia nostra, per
      inceptos himenaeos.
      </p>
   </div>
</div>

</body>
</html>