How generate two rss feeds of a wordpress site.One for public and other one password protected

Is it possible to generate two rss feed of a wordpress site. one public and other one password protected?

Basically i want to keep public rss feed for public and the protected one for my android application since i don't want to show all of my data in public rss feed.

I know it sounds dumb but let me know if it is possible?

via Chebli Mohamed