There is no similarity between the two situations aside from the fact that the earth will still be under the gravitational pull of the sun. Whatever the position of the earth around the sun, the gravity never looses its connection to it. But there are some incidents that might happen to the life forms of the earth if incase the earth stops rotating, all life forms not rooted on the ground will be pulled of moving eastward at 1000mph. Aside from that, an entire earth day will be equivalent to one year. The sun will also rise on the west and sets on the east. The earth's centrifugal force will also be changed causing the earth's structure to bulge. These things will happen if incase the earth stops rotating.