Same problem, different cause
I have same problem with Ubuntu Server 8.04. every package is in its default version. The fact is that I haven't enabled SSL at all. so the problem can't be caused by SSL or something.
I checked configuration and found out that logrotate is killing my apache. but there are no error messages in the log only one line: caught SIGTERM, shutting down.
I tried "apache2ctl configtest" and it says I have no problem with my config file.
PS: I tried once to install cpanel but I didn't complete the installation procedure, cpanel is not working now, but its files are in my /usr/local/cpanel.