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

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: (b) the orbit eccentricity; [4 Marks] (c) the orbit semi-major axis, its perigee and apogee radii, the orbit period; [3 Marks] (d) position of the orbit perigee in the non-rotating Earth-centred Cartesian coordinate system; [2 marks] (e) current true anomaly of the spacecraft, 0. Examine whether this angle is less or greater than 180°. [2 marks]