Monday 23 November 2015

newtonian mechanics - What happens to a satellite's orbit when you speed it up?


If a satellite is initially orbiting the earth with a constant velocity $v$ on a circular orbit.


What would happen, if the velocity is suddenly increased by 5%?


Would the orbit still be circular?


I guess it will be elliptic, but how to prove this and find the eccentricity of the ellipse?




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