First, generate a public/private RSA key pair on Ooga.

ooga% ssh-keygen -t rsa -f ~/.ssh/id_rsa

When you are asked for a passphrase, leave it empty. Now send the public key to Booga.

ooga% cd .ssh
ooga% scp id_rsa.pub user@booga:~/.ssh

Next, log in to Booga and add the public key to the list of authorized keys.

ooga% ssh user@booga
booga% cd .ssh
booga% cat id_rsa.pub >> authorized_keys2
booga% chmod 640 authorized_keys2
booga% rm -f id_rsa.pub

Note that the filename is authorized_keys2, not authorized_keys. That’s it; you’re ready to ssh from Ooga to Booga without having to enter a password.