3. (25 points) At a given instant, to, an Earth-orbiting satellite has the inertial position and velocity vectors ro-2, 207 i + 6, 587 j + 1,925 k km and vo -5.532 i + 1.58 j + 5.41 k km/s Use 398,600.4415 km3/s2 and Re 6,378.135 km. Numerically integrate the fun- damental equation, --rthe maxi and the time (in minutes) at which it occurs. In addition, plot the 3-D orbit for one period and attach a picture of the orbit to the assignment. Please also attach a copy of your code to the assignment. r, to find the maximum altitude reached by the satellite 3. (25 points) At a given instant, to, an Earth-orbiting satellite has the inertial position and velocity vectors ro-2, 207 i + 6, 587 j + 1,925 k km and vo -5.532 i + 1.58 j + 5.41 k km/s Use 398,600.4415 km3/s2 and Re 6,378.135 km. Numerically integrate the fun- damental equation, --rthe maxi and the time (in minutes) at which it occurs. In addition, plot the 3-D orbit for one period and attach a picture of the orbit to the assignment. Please also attach a copy of your code to the assignment. r, to find the maximum altitude reached by the satellite