Radiating Gravitational Energy in Space

The earth will fall into the sun due to radiating gravitational energy. It's more a swirlin then a collision, right? Its sort of like if youd have a still lake or a still body of water and you take two fingers and you sted of rotate them or spin them around each other,. they're going to be generating waves on the water. And that's the sort of how people see that two black holes can a radiating out energy as waves.