Run Apache in front of Tomcat and connect all requests on Port 80 (Apache) to Tomcat on the AJP port (8009) using mod_rewrite.
yum install httpd
chkconfig httpd on
vi /etc/httpd/conf.d/proxy.conf
RewriteEngine On
RewriteRule ^/(.*)$ ajp://localhost:8009/$1 [P,QSA,L]
service httpd start
You're done.