1. The problem statement, all variables and given/known data I have a question which asks for the maximum increase in velocity that can be achieved by a 100 kg space probe travelling at 12 000 ms -1, in a gravity assist manoeuvre around the planet Mars, which has an orbital velocity of 24200 ms -1. 2. Relevant equations vf = vi + 2vi = 12000 + 2(24200) = 60400, therefore max increase in velocity is 60400 ms -1 3. The attempt at a solution See above. The next part asks how would your answer be if the probe only completed 120 degree arc in its flyby? Support with vector diagram. You are not told what the original arc is, so I assume it is greater than 120 degrees. However, that does not assist with the answer to this problem? If I draw the Before and After vectors diagrams and resultant incoming and outgoing velocities relative to the planet by using pythag - but Im still no closer to a solution.