(Solved): Question 4 Relative to a non-rotating Earth-centred Cartesian coordinate system, the position and ...

Question 4 Relative to a non-rotating Earth-centred Cartesian coordinate system, the position and velocity vectors of a spacecraft are r = 21,522i 17,573j + 21,522k (km) v = 1801i + 1100j +1801k (m/s) Calculate: the orbit semi-major axis, its perigee and apogee radii, the orbit period; [3 Marks] position of the orbit perigee in the non-rotating Earth-centred Cartesian coordinate system; [2 marks] current true anomaly of the spacecraft, 0. Examine whether this angle is less or greater than 180°. [2 marks]