At apogee, the moon is 406,395 km from Earth and at perigee, the moon is 357,643

Question

At apogee, the moon is 406,395 km from Earth and at perigee, the moon is 357,643 km from Earth. What is the orbital speed of the moon at perigee and at apogee? Its orbital period is 27.3 d.


What is the speed at perigee? (km/s)
What is the speed at apogee? (m/s)

Explanation / Answer

Given T=27.3*24*3600 seconds => angular vel = w = 2*pi/T = 2.66 x 10^-6 rad/s So, SPEED AT * apogee = V1 = r1*w = 406,395 x 10^3 x 2.66 x 10^-6 = 1082.56 m/s * perigee = V2 = r2*w = 357,643 x 10^3 x 2.66 x 10^-6 = 951.33 m/s Note: Units are in m/s, you may like to convert them to km/s Hope you like my awesome explanation :)

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