The maximum and minimum velocities in kilometers per second of a celestial body moving in an elliptical

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The maximum and minimum velocities in kilometers per second of a celestial body moving in an elliptical orbit can be calculated byimage


In these equations, a is half the length of the major axis of the orbit in kilometers, P is the orbital period in seconds, and e is the eccentricity of the orbit. 


(a) Find Vmax and Vmin for Pluto if a = 5.913 x 109 kilometers, the period is P = 2.86 x 1012 seconds, and the eccentricity is e = 0.249. 


(b) If a planet has a circular orbit, what can be said about its orbital velocity?

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