Suppose a spacecraft is in an elliptic orbit around a planet, where the semi-major axis and eccentricity are a = 12000.0 km and e = 0.25, respectively. Suppose the time of periapsis passage was t = 0. What is the orbit period in hours? What are the position and velocity in the perifocal coordinate system at time t = 3600 sec? By hand, roughly sketch the orbit, indicating the position and velocity at that time.