Problem 4

A satellite is launched from earth such that the booster burnout occurs at an altitude of 500km with a

speed of 9.6km/s at an angle from the perpendicular from the orbit radius of B=15 degrees.

Determine: a) the total orbit angular momentum per unit mass b) the total orbit energy per unit

mass c) the orbital eccentricity e d) the maximum and minimum altitude, e) the maximum and minimum

speed, f) the true anomalies at booster burnout, minimum and maximum speeds, g) is the orbit

sustainable - explain. As the satellite passes apogee its rocket is fired to circularise the orbit. However

the resultant speed was +4% off and B=2 degrees after the rocket is fired. h) If the satellite loses 20% of

its 1tonne mass during rocket firing, how much does the firing change the orbit energy in J, i) What is the

resultant orbit eccentricity.