Aspacecraft in a trapped orbit is observed to be at an altitude of 1000 km with a velocity of 10.3 km/s. the velocity vector is orthogonal to the radius vector (from the center of the earth).

a. find the specific energy, semi-major axis, eccentricity, and the parameter.
b. find the specific kinetic energy, potential energy, and angular momentum at perigee and apogee.
c. find the altitude and velocity of the spacecraft at its furthest position from earth.
d. given that the average earth-moon distance is 385,000 km, what type of maneuver might this orbit be classified as? hint: search online for maneuvers.
e. assume the moon is in a circular orbit around the earth with a period of 27.3 days. what is the phase angle, that is, the angle between the spacecraft and the moon relative to earth at the time of the first burn to ensure a successful rendezvous?
f. suppose the spacecraft starts at the same altitude and has the same velocity direction as given in the problem statement. determine the range of speeds that would place this spacecraft on a ballistic trajectory with the earth (i. e. spacecraft impacts the surface). ii. determine the minimum speed that would place this spacecraft on an escape (e. g., interplanetary) trajectory