8.18** An earth satellite is observed at perigee to be 250 km above the earth's surface and traveling at about 8500 m/s. Find the eccentricity of its orbit and its height above the earth at apogee. [Hint: The earth's radius is Rê ≈ 6.4 × 106 m. You will also need to know GM, but you can find this if you remember that GM₁/R² = g.]
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