Two sites on one http port. apache rewrite

<VirtualHost *:80>
    DocumentRoot "/var/www/html/mysite1/"
    ServerName mysite1.com
    ServerAlias *.mysite1.com
    RewriteEngine On
    RewriteCond %{HTTP_HOST} ^mysite1.com$ [NC]
    RewriteRule ^(.+)$ http://www.mysite1.com/$1 [R=301,L]
    ErrorLog /var/log/httpd/mysite1_error_log
    TransferLog /var/log/httpd/mysite1_access_log
</VirtualHost>

<VirtualHost *:80>
    DocumentRoot "/var/www/html/mysite2/"
    ServerName mysite2.com
    ServerAlias *.mysite2.com
    ErrorLog /var/log/httpd/mysite2_error_log
    TransferLog /var/log/httpd/mysite2_access_log
</VirtualHost>