Today I was puzzled when my son was holding a school globe asking me to show with my finger a trajectory of a (nuclear) ballistic missile flying from US to China and Russia and vice versa (from Russia and China to US:)))
There should be some optimal trajectories and some general limitations on possible trajectories at all.
All I could remember that in space there are no "straight line" trajectory - only ellipses with different eccentricity.
Could you provide trajectories and some general considerations what kinds of paths are prohibited and which ones are most optimal and why?
What continents / parts of ocean / major cities :) does it fly by?
But really, I know that such trajectories are very complicated and I don't have a clue.