>>12686964>>12686951There is no "balance of forces"; the only force acting on the orbiting mass is gravity. This force is not cancelled out by anything, and as a result, there is a constant acceleration of the orbiting body, causing it to change its velocity.
There is no "force pushing the object out". If you wanted to work in a rotating frame of reference, there would be an apparent force due to that, or you could introduce something like an effective potential from conservation of angular momentum, but nothing about the description even hints at any hidden rigor like this taking place.
It's a confusing way to present a relatively simple concept, which will certainly trip up and cause misunderstandings to many students who would be at the stage where they're learning what causes an object to be in an orbit.
