# relation between angular velocity of planet and orbital velocity [closed]

Can it be shown that angular velocity of a planet = (orbital velocity/h+Radius): $$\frac{v_{c,1}}{h + R_{⊕}} = \omega_e$$

• I think you might want to elaborate your problem slightly more and also tell us a bit more about your own attempts on how to solve the problem. Even when I might guess, h and R_Earth are not introduced... and h is... the observer height above the reference geoid? Jul 9 at 10:34
• Also, if the text you're working from defines $v_{c,1}$, define that as well. From what's included in the question, it looks like the specific version of the equation provided only works for circular orbits over Earth. Jul 9 at 11:00

If $$v_{c,1}$$ is the First Cosmic Velocity, also known as the Circular Orbit Velocity, then what you have written is the definition of the angular velocity of an object in a circular orbit of altitude $$h$$ over Earth.