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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 β=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 β=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.
