Angular Impulse-Momentum Principle - Example Problem 9.7-7

 

A satellite is in an elliptic orbit about the earth having a perigee of r_P = 5000 mi and an apogee of r_A = 15,000 mi as measured from the center of the earth. The satellite’s angular velocity at perigee is 0.001 rad/s. Determine the magnitude of the satellite’s velocity v_A at apogee.

 

 

Given:

• ω_P = 0.001 rad/s
• r_P = 5000 mi
• r_A = 15,000 mi

 

Find:

• v_A

 

Does this system conserve angular momentum with respect to O?

 

Yes
No