Tomcat configuration question

I am trying to get a shorter URL to work in an application deployed in 
Tomcat 5.5.  I am creating a web application in Eclipse 3.3.2 and 
exporting a WAR from Eclipse into Tomcat 5.5 (which implements Servlet 2.4).

Here is the tomcat/conf/server.xml file I am using, shortened to show 
just what I think may be important:

  <Server port="8005" shutdown="SHUTDOWN">
   <Service name="Catalina">
     <Connector port="80"
                maxThreads="15" minSpareThreads="1" maxSpareThreads="2"
                enableLookups="false" redirectPort="443" acceptCount="6"
                connectionTimeout="20000" disableUploadTimeout="true" />

     <Engine name="Catalina" defaultHost="localhost">
       <Host name="localhost" appBase="webapps" />

       <Host name="myDomain.com" appBase="/myDomain/app"
        unpackWARs="true" autoDeploy="true">

         <Valve className="org.apache.catalina.valves.AccessLogValve"
                  directory="myLogs"  prefix="access." suffix=".log"
                  pattern="common" resolveHosts="false"/>
         <Context path="" docBase="." />
       </Host>
     </Engine>
   </Service>
</Server>


When I copy the file named "Apln.war" into my appBase="/myDomain/app" 
directory, Tomcat unpacks and deploys the application just fine into a 
new directory named /myDomain/app/Apln .  It all works.  But I'm fussy 
about the URL.

In order to access the pages in a web browser, I have to include "Apln" 
in the URL, like this:
   http://myDomain.com/Apln/fun.jsp
How can I get that "Apln/" out of the URL?  I want the URL to be:
   http://myDomain.com/fun.jsp

Other information that may be relevant:
  - I am not using any other XML file to declare the Context element, 
since I guess that should not be necessary, although the Tomcat 
documents frequently remind me that I could do that.
  - The WEB-INF/web.xml file has only the few automatically created 
elements.  I have not edited it.  And I don't think it matters for this 
issue.
  - Note that the appBase for Host myDomain.com is an absolute path, 
outside the default appBase="webapps".  I don't think that should matter.

I have tried setting the Context docBase attribute to an absolute path 
outside the /myDomain/app directory, since I find the following instruction,
"When using automatic deployment, the docBase defined by an XML Context 
file should be outside of the appBase directory."
in this section of the documentation 
<http://tomcat.apache.org/tomcat-5.5-doc/config/host.html#Automatic%20Application%20Deployment>.
But that doesn't work for me.  I don't understand how that could work, 
since the automatic unpacking of the war file takes place in the same 
directory where the war is dropped, in the /myDomain/app directory.

Thanks for any help that can be given,
Rich Hammer