Imagine a body moving to the right with velocity v, I then apply a force that accelerates the body leftwards by v and downwards by v. After one second, the body has stopped moving to the right and is only moving downwards with velocity v. Then, while I keep accelerating the body to the left until it reaches a velocity v leftwards, I also accelerate the body upwards until it has stopped moving downwards. By that point, I accelerate the body to the right by v and up by v, after one second it has stopped its movement to the left and is now only moving up. Finally, I apply a acceleration of v downwards until it stops moving up and rightwards until it reaches a velocity of v to the right. The object is now exactly in the same point in space it started. And I repeat the same process again and again. My question is: providing I start the next step at the exact moment I finish the previous one, will the object experience uniform circular motion? And in that case, clearly those accelerations are less then the centripetal acceleration the body would experience going in the exact same circular fashion. So why is that not a valid centripetal acceleration?