In the problem of celestial bodies, if the orbit radius increases, only the period will increase and the others (centripetal acceleration, angular velocity) will decrease Why?

In the problem of celestial bodies, if the orbit radius increases, only the period will increase and the others (centripetal acceleration, angular velocity) will decrease Why?

The only reason is the relationship between the strength of gravity and distance
The strength of gravity is inversely proportional to the square of the distance. The radius of the orbit is the distance. The larger it is, the smaller the centripetal force provided by gravity, and the smaller the centripetal acceleration, linear velocity and angular velocity
As the linear speed decreases, the cycle increases naturally when the slower speed is used to run a larger circle. In addition, the angular speed itself is the reciprocal of the cycle