Two RSS feeds – possible?

Hey,

Right now we have a website that pushes the full RSS feed. We did that because we also have an AppYet app that gets content from that feed. If we’ll restrict the feed just to the first paragraph, obviously the users who use the app (around 1k) will see only the first paragraph.

But here’s another issue. As we’re beginning to gain traction and generate relevant content, a lot of “dubious websites” are beginning to basically copy our content and re-post it, through the RSS feed. We’ve sent them takedown notices but basically we can’t just purge them all every week.

So here comes the question: is there any way to have TWO FEEDS:
– the first should be the main one (/feed) which is served directly and/or through FeedBurner
– the second should be a “secret feed”, served via a /secret-feed-link that nobody knows, which we’ll use for the Android App

Can WP do this? Can you recommend me any plugin or workaround?

Thanks!