I keep on getting them but I can';t see any use for them yet. I also received the trace accolade.

They will be used in with Ultra Rare item crafting when the Memory Alpha update goes live with Season 3.

Source

^^^^^That (just announced yesterday, I think), and currently you can collect all 10 for an accolade.

This is mildly annoying.... I just dumped all of mine in the replicator last week to make room in my bank. Whoops...

Looks like I better make sure the fleet bank is well stocked on anamolies.

And I need to get my Physical Sciences buffed up.

There rare ones are bound to whoever finds them. Normal ones can be put in your fleet bank though.