In addition to NGINX, you can setup Artifactory to work with Docker using Apache.
The sample configuration below configures SSL on port 443 and a server name of artprod.company.com.
<VirtualHost *:443>
ServerName artprod.company.com
ErrorLog ${APACHE_LOG_DIR}/error.log
CustomLog ${APACHE_LOG_DIR}/access.log combined
SSLEngine on
SSLCertificateFile /etc/ssl/certs/artprod.company.com.pem
SSLCertificateKeyFile /etc/ssl/private/artprod.company.com.key
ProxyRequests off
ProxyPreserveHost on
ProxyPass / http://artprod.company.com:8080/artifactory/api/docker/docker-local/
ProxyPassReverse / http://artprod.company.com:8080/artifactory/api/docker/docker-local/
</VirtualHost>