I wanted to change my site from http to https. Always.

So I configured my apache accordingly. Now when I enter the URL of my site (https://steamnet.de) it loads the index site fine but none of the referenced elements (CSS, images etc.)

It seems to me that it does so because the base href is set to http://steamnet.de/ and thous does not use https there. I have configured my firefox that it should not load mixed content.

So how can I tell Joomla to set the base href to https://steamnet.de (or otherwise make the site fully ssl?)

I tried to set the global ssl enforce element of joomla configuration ("SSL erzwingen" in german, $force_ssl in configuration.php) to "everything" but then the site breaks with infinite 303 error redirecting to itself. (As an afterthought: I was surprised to find a 303 instead of 301 here. If someone could explain that I would be grateful)

(Laoneo suggested some solutions, that did not work out, for completeness here is the list)

1. configure $live_site to the https url.
2. probe if changing $sef and $sef_rewrite helps.

The apache logs: access.log

91.42.221.000 - - [03/Nov/2013:12:41:25 +0100] "GET / HTTP/1.1" 303 4854 "-" "Mozilla/5.0 (Gecko) Firefox/64"
91.42.221.000 - - [03/Nov/2013:12:41:25 +0100] "GET / HTTP/1.1" 303 516 "-" "Mozilla/5.0 (Gecko) Firefox/64"
91.42.221.000 - - [03/Nov/2013:12:41:25 +0100] "GET / HTTP/1.1" 303 516 "-" "Mozilla/5.0 (Gecko) Firefox/64"

error.log contains nothing on access, but the following lines on reload

[Sun Nov 03 12:41:16 2013] [notice] Graceful restart requested, doing restart
[Sun Nov 03 12:41:16 2013] [error] (9)Bad file descriptor: apr_socket_accept: (client socket)
[Sun Nov 03 12:41:17 2013] [warn] RSA server certificate CommonName (CN) `Angelo Neuschitzer' does NOT match server name!?
[Sun Nov 03 12:41:17 2013] [notice] Apache/2.2.16 (Debian) PHP/5.3.3-7+squeeze17 with Suhosin-Patch proxy_html/3.0.1 mod_ssl/2.2.16 OpenSSL/0.9.8o configured -- resuming normal operations