# Velocity to Eccentricity

Classical Mechanics Level 5

Let $$v$$ be velocity at which a satellite is being projected into an elliptical trajectory, such that at apogee, it is a distance $$r$$ from earth. Let $$u$$ be the critical velocity at which the satellite must be projected at a distance $$r$$ to move in circular path. If the eccentricity of elliptical orbit is $$0.44$$ then find the ratio of $$v$$ is to $$u$$?

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