Well, NORMALLY, in normal operation, you would have a 2 stage t'stat on the wall. When t'stat stage #1 calls for heat it turns on the heat pump. If the heat pump can't keep up because it's too cold out the t'stat will sense the continued drop in room temp and call in 2nd stage heat which turns on the electric. It SOUNDS (without actually looking at it) like your heat pump proper is not doing the trick (even at 60* ODT) and thereby calling in 2nd stage. This could be for any number of reasons. Most heat pumps these days will also sense the fact that they are not working correctly, shut themselves down and energize 2nd stage which now becomes considered "emergency" heat. Most will also let you switch to emergency heat manually at the T'stat. Regardless of what you call it it is still usiong the same electric heat strips for auxiliary/supplemental/ emergency heat.
I'll be around today so feel free to pick me brain if you have to.