(Solved): 4. Orbit Quantities. Compute the specific angular momentum vector, specific angular momentum, ecce ...

4. Orbit Quantities. Compute the specific angular momentum vector, specific angular momentum, eccentricity and perigee for an Earth satellite \( (\mathrm{m}=3.986 \times 105 \mathrm{~km} 3 / \mathrm{s} 2) \) which at some point of time was detected to have position and velocity: \( r=[-5633.9,-2644.9,2834.4] \quad \mathrm{km} \) \( v=[2.39805,-7.02301,-1.79578] \mathrm{km} / \mathrm{sec} \) Sketch this orbit (in the orbital plane; no need for \( 3 \mathrm{D} \) pictures here)