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**1. The problem statement, all variables and given/known data**

A satellite is in an elliptical orbit at altitudes ranging from 230 to 890 km. At the high point it's moving at 7.23 km/s. How fast is it moving at the low point?

I would think i would have to use some sort of energy conservation equations. but i really don't know where to begin or how to set this up. any help would be greatly appreciated!. i would like to learn how to do this.