Universal gravitational, elliptical orbits

carbon_mc
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1. Homework Statement
a spacecraft of mass 1000kg, in an elliptical orbit about the earth, at one point its distance from Earth is 1.2 x 107 meters and its velocity is 7.1 x 103 meters per sec, and the velocity vector is perpendicular to the line connecting the center of the Earth to the spacecraft . Mass of Earth is 6.0 x 1024 kg and radius of Earth is 6.4 x 106
Find the magnitude of the angular moemntum of the spacecraft about the center of the earth


2. Homework Equations

L = I
L = r x p
= v/r
3. The Attempt at a Solution

ok so I know that energy and angular momentum is conserved. I know how to solve this but I just want to make sure. Do I just do this by finding the angular velocity by = v/r then multiplied by I which equals to mr2 . it sounds really weird so I just want to make sure.
 
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