Here is a link to a brief Perl script which is useful to quickly check whether a Tomcat server is listening on its AJP port.
http://www.joedog.org/2012/06/ajp-functional-test
Another option may be this tool, but I haven't tested this and there is no documentation available.
https://github.com/espenhw/ajp-client
As an aside, the best description of the AJP protocol I've seen so far can be found here:
http://httpd.apache.org/docs/2.2/mod/mod_proxy_ajp.html