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posted by  basha on 11/4/2009 11:30:16 PM  |  status: Live  |  Earned Karma: 90

Collisions PLEASE HELP WILL RATE LIFE SAFER

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N/A N/A N/A N/A 11/9/2009 at 10:00:00 AM
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Gravitational Slingshot


Often in designing orbits for satellites, people use what is termed a "gravitational slingshot effect." The idea is as follows: A satellite of mass ms and speed vsi circles around a planet of mass mp that is moving with speed vpi in the opposite direction. See the diagram below:
Although the satellite never touches the planet, it is still a considered to be a collision because the planet and satellite interact through gravity. Because gravity is a conservative force, the collision is elastic. 


Solve for the final velocity of the satellite after the collision. Call positive to the right and negative to the left. 
Solve algebraically first, then use the following values for the parameters.
mp = 8.20E+24 kg 
ms = 1380 kg 
vsi = 8.040E+3 m/s 
vpi = -1.34E+4 m/s
vsf =
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